UAD Template_Zalik Nuryana 10.12198/spektrum.v20i1.77 spektrum.industri@ie.uad.ac.id 43 SPEKTRUM INDUSTRI Journal homepage: http://journal3.uad.ac.id/index.php/spektrum ISSN 2442-2630 (online) | 1693-6590 (print) Robust controller numerical design for reinforced concrete structures under seismic excitation conditions Tim Chena1, Robert C. Crosbie2, Azita Anandkumarb3, Charles Melville4, J Chen5* and T Nguyen6 1 Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam 2 Faculty of Mathematics, Technische Universität Dresden, Dezernat 8, 01062 Dresden, Saxony, Germany 3 3 Computing and Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK 4 Department Electrical & Electronic Engineering, University of Bath, Bath, BA2 7AY, U.K. 5 Department of Artificial Intelligence, University of Maryland, Maryland 20742, USA 6 Hanoi Cultural University, Hanoi City, Vietnam *Corresponding Author: cj343965@gmail.com INTRODUCTION A detailed inspection covers the effects and potential hazards of damaging hazards such as earthquakes and construction disturbances. The basic control frame contains a dynamic wet mass that absorbs sudden moisture and prevents gusts of wind from rising to tall structures. Given the important human considerations, experimental research on vibration control structures is expected to be completed as part of the Morning Warning of Earthquakes. Over the past two decades, a great deal of research has been done and applied to the development , generation, testing and implementation of A R T I C L E I N F O A B S T R A C T Article history Received: September 2022 Revised : October 2022 Accepted: October 2022 The article discusses driver optimization design issues that combine the evolution of artificial intelligence of the bat optimization algorithm with fuzzy drivers to enable practical applications in construction. The designation of system controllers includes various subsections such as initial system parameters, EB optimization algorithm, cloud controllers, stability analysis, and excitation sensors. The advantage of this design is the integrated H2 / H∞ output of a robust strategy for certain systems with continuous and polyhedral uncertainties f or. The asymptote was obtained by adjusting the design parameters with the help of correction criteria. Numerical verification of the time and frequency domain shows the new system design to accurately predict and control the structural displacement reactions required to actively control each model structure . The Genetic Algorithm Test technique uses the Hurwitz Matrix Functional Structure hierarchy for hierarchical conditions and measures of exacerbation of effect. This article proposes any type of dynamic controller to obtain the optimal power structure required for active control of nonlinear structures. This method has shown favorable results in the resolutions of closed systems. This is an open access article under the CC–BY-SA license. Copyright © 2022 the Authors Keywords genetic design algorithm Simulation method Fuzzy logic reasoning : the evolutionary algorithm of bats https://doi.org/10.26555/ijish.v3i2.2222 mailto:spektrum.industri@ie.uad.ac.id http://journal3.uad.ac.id/index.php/spektrum mailto:cj343965@gmail.com http://creativecommons.org/licenses/by-sa/4.0/ http://creativecommons.org/licenses/by-sa/4.0/ SPEKTRUM INDUSTRI Vol. 20 No. 1 April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 44 active, semi-active and sub- hybrid regulations. The vibrations are damped by excited unstable structures. The use of external power supplies is an important part of the power dynamism and the dynamics of the linking activity. Multiple inspections have shown that dynamic gadgets have been tested as vibration dampers to reduce structural vibration (e.g. Connor, 2003; Yanıketal ., 2018; Adeli and Jiang)., 2006; Jiang and Adeli, 2005; Muhammad et al. 2018; Zhou et al. 2015 Jin et al. 2018 Li et al. 2017 Chang et al. , 2019). Dynamic mode control is fully applicable to multi-degree structures of freedom as the response is performed in a general manner. External power supplies are inefficient, require no control framework, are increasingly cost effective, and facilitate application planning. While various ratings and their strategies have been approved and proposed , most of the research concerns the practical applications and methods of fleet regulation. Robust control problems can be divided into linear transform systems and other problems, including time invariant or nonlinear. In general, nonlinear systems can be thought of as nonlinear nonlinear systems. In other words, the problem of nonlinear control can be solved by the robust force method. In other words, reliable design methods can be used to design nonlinear controllers if the nonlinear model can be considered a linear uncertainty model. Based on the concepts and concepts mentioned above, the goal of this article is to design a reliable driver for linear and nonlinear systems, including uncertain model and strong effect. For example, a nonlinear system can be considered a linear system if the state of the system is close to the equilibrium point. According to this concept, the Takagi Kanno concept, whose reasoning (TS) uses the fuzzy concept, is a fuzzy concept combining several linear systems to approximate the behavior of the original non-linear system (Kickert and Mamdani, 1978; Braae and) Rutherford, 1979; Chang and Zadeh. 1972, Buvana and Jayashri, 2019). With this simple and general approach, any model can use a linear system to express the meaning of each power rule. This allows the use of the linear feedback method with continuous feedback. Królów (1996) Proposed distributed power series of parallel concepts (PDC) . It follows the same order as the settings specified in the Hypothesis section for each rule. An effective theoretical system of building management systems requires a higher level of service standards and an effective way to reduce the initial user experience without harming the building. The literature discusses many reasons to achieve this goal by trying various forms of management, but the correct solution to the problem remains ambiguous. Recently, the Evolutionary Bat Algorithmic (EBA) optimization method has been introduced, which highlights a number of optimization problems. This article is about EBA optimization in construction management strategy, one of the latest interesting optimization optimization topics. The information gathering zone is also warm and fun, and attracts the attention of many researchers. Lots of people are encouraged and inspired by the algorithm These algorithms are built in the field for the intelligence of natural animals. Methods often require complex calculations and mimic some existing or retained methods. For example, Tsai et al. , (2012) was used to describe the bat discovery process in order to solve many mechanical problems. In this article, the EBA applies to optimizing the building administration plan, which is one of the most difficult optimization problems in recent years. Variable optimization controllers are those that provide response conditions (such as output) to a controller position change. RESEARCH METHOD Concrete structures are the most common type of modern architecture. Figure 1 shows that the three-story concrete structure has been reinforced. It usually consists of a specific body or skeleton. The horizontal elements are rays and the vertical elements are columns. Concrete buildings also include floors and roofs that serve as foundations. The poles are so large that they carry the house's luggage. SPEKTRUM INDUSTRI Vol. 20. No 1, April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 45 Figure 1. Floor level equation. (1) The equation of motion of the motor unit and the electronic system of a rock reservoir can be written as a model consisting of the following assumptions ( Zhou et al., 2015; Kim et al., 2018; Leeetal., 2018 et al. Chang et al., 2017 Chang et al., 2019: Chen, 2014; MX t CX t KX t BU t Mrx g  ( )  ( ) ( ) ( ) + + = − (1) Where is the vector n representing X x x x R n T n = [ , , ] 1 2  the area-to-surface drift from the designated i-th floor of the unit. Matrices M , C, K have mass, and sometimes matrices and matrix matrices respectively . In the controller design, each criterion corresponds to equation (1), and the equation of state is combined with:  ( ) ( ) ( ) X t AX t BU t Ex g = + + (2) with* X X X T T T = [  ] , A I M K M C B M B E r n n = − −       =       = −        − − − 0 0 0 1 1 1 . The dynamic system (2) is different for each region. You can use the fuzzy control TS to build more linear models and link each linear model with an associated function. Figure 2 shows the concept of conceptual inference, which is based on the fuzzy TS pattern. Figure 2. Describe fuzzy models based on TS Use dynamic models to examine the final time dimension of an independent line installation Σ (θ). SPEKTRUM INDUSTRI Vol. 20 No. 1 April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 46 Where x (t) n is the state input, u (t) n is the input , ω ( t) n is the disturbance , y ( t ) n is the measurement output , z2 i Each of the outputs z∞ has appropriate dimensions . The parameters Cy , C2, C∞ derive the matrices y (t), z2 (t) and z∞ (t) , respectively . In addition, the parameters D 2u , D ω ω , D ∞ u are transferred directly from the starting matrices to the outputs y (t), z 2 ( t) and z ∞ (t) , respectively . A ( θ ) B u ( θ ) Bω ( θ ) depends on an unknown variable or time variables or a table divided into circles and has the following structure. (3) Dynamic model; (4) Static output feedback controller (5) Replacing (5) with (2) closes the loop and restores the system. (6) (7) Our goal is to find an acceptable G that is similar to this; a) Equation. (6) Sure; b) the following business monitoring standards: (8) (9) H2 and H∞ are the norms of closed loops (6 ) (10) Where σmax ( H∞) represents the maximum value of H∞ and the Frobenii norm. (11) as defined (12) This can be translated as the maximum value of ω (t) and RMS in any direction and at any frequency, respectively. To achieve this, we obtain the criterion validity of the Lyapunov method as shown in the figure below. Lemma 1 symmetrical X∞ and G , the ratio is stable over the latitude H∞ or within γ. SPEKTRUM INDUSTRI Vol. 20. No 1, April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 47 (13) The concept is to describe a term that can be generated from symmetry. Lemma II (14). (15) y = 1 , theory predicted by Scherer et al. Easily available since (1997). Therefore, no proof is required. It is obvious (13) that the steady state includes (14). Therefore, the H∞ / H2 mixture can be expressed. ,, (16) Follow (13) and (15). It is known that the worst case LMI can be used based on the worst case outcome method. Therefore, the dataset can be very conservative. Moreover, by solving LMI by G alone, let X = X2 = X∞> 0 (Scherer et al., 1997). However, these limitations can be minor , especially with robust multi-sided models. To overcome the above errors, a numerical algorithm is used to find consecutive responses to productions, stabilizing closed loops and asymptomatically obscuring performance circuits. Lapunov's design, general configuration, and experimental techniques used to narrow down the Hurwitz approach to mitigate stability in the family polynomial region (Chung and January 2009) showed solid stability. Definition 1: closed dynamical system Ac ( θ) can be transformed into a family using a sequential polynomial system with G data (17) A polynomial represents a family. 1 Assumption (18) (19). nn Hj is the Hurwitz test matrix related to the P (s) table. Definition 2: Define the average performance as follows: (20) Moreover, consider only optimizing the vector sum of each uncertainty. How (20) can you say that. SPEKTRUM INDUSTRI Vol. 20 No. 1 April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 48 (21) Lemma III. But Σc (θ) is stable in the following cases. (1) (22). (2) (23). (iii) (24). (25) If > 0, the solution is terminated. The stability of the solidity relationship d is defined as follows: (26). According to Lemma 3, the rest of the task is to adjust the optimal G (22-24) and reduce the cost effect (21) . The GA-based floating point designation is shown in Figure G. 3-4 Poll G dominates with good odds (22-24) and (21). To maintain form, we use the hierarchy (22-24) and (21) to bind to a function called HFFS (21). You can search for a G in any GA by changing the HFFS training modes. Figure 3. Structural assessment of the developed genetic algorithm Figure 4. Algorithmic algorithm for estimating genetic structures SPEKTRUM INDUSTRI Vol. 20. No 1, April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 49 The method of performing HFFS is to convert (22-24) into lower body functions and link these lower body functions to a hierarchy. By combining the sequences (22-24) you can turn your subconscious into action. (27) Where efficiency and function are the i-th sub-efficiency. This assessment is based on the ability to more easily identify the stability of the scenery conditions, which are implemented in a coherent hierarchical structure. The execution of di is defined as the corresponding i-th. (28) (29) (30) (31) Where is the relative stability of the left half of the complex plane. RESULTS AND DISCUSSION Tellurite glasses TeO2−TiO2−ZnO with a composition of (100-x-y)TeO2-xTiO2-y ZnO, (x,y)=) 15;10) (15;5), (10;15), (10;10), (5;30) and (5;10) mol%, used in this study listed in Table1. The mass attenuation coefficient μ/ρ of these samples were calculated using the Geant4 toolkit and the WinXCOM application for photon energy ranging from 1 keV to 10 MeV. In Figure.1, the μ/ρ values were presented against photon energy. The μ/ρ values obtained from Geant4 simulations were compared to those calculated by the WinXCOM algorithm, as shown in Figure.2. The values of μ/ρ were used to determine the Zeff values, Figure.3. In Figure.4, the Half-value layer values of the investigated glasses were calculated and plotted. In figure 5 the mean free path values were computed and plotted. Table 1. list of investigated glasses samples, chemical and atomic composition and density. 3.1 Mass attenuation coefficient (μ/ρ) Figure 5 shows the relationship between the HFFS estimate value and steady state. Of course, if Σc ( θ ) is constant , training and fitness are always constant, and average performance is generally best. T 85T 5Z10 T 65T 5Z30 T 80T 10Z10 T 75T 10Z15 T 80T 15Z5 T 85T 15Z10 T eO2 85 65 80 75 80 75 T iO2 5 5 10 10 15 15 ZnO 10 30 10 15 5 10 O 0.206 0.206 0.211 0.212 0.217 0.217 T i 0.016 0.018 0.033 0.034 0.050 0.051 Zn 0.044 0.148 0.046 0.070 0.023 0.047 T e 0.734 0.628 0.710 0.684 0.710 0.685 5.490 5.420 5.420 5.410 5.440 5.400 C omposi ti on s (mol%) Atomi c composi ti on (wt.%) Glasse s Sample s De n si ty (g/cm 3 ) SPEKTRUM INDUSTRI Vol. 20 No. 1 April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 50 Figure 5. Description of the fit value and number of iterations The developed algorithm, consisting of the GA defined in HFFS, allows to avoid unusual conditions and select possible states from HFFS. As a result, physical activity on the computer can be significantly reduced. As shown in Figure 3-4, HFFS is similar to GA. The difference is that an active estimation module can be applied to the HFFS. GA controller code code (BCGA) is shown in the figure. 6.6. Figure 6. process to find optimal H2 / H ( output feedback driver ) From our previous analyzes it can be concluded that the closure coefficients and the model are closest if the vibrations have a sufficiently high frequency and the appropriate element strength has been selected (Zames and Shneydor, 1976 and. Wang and Abed 1977). , 1995). This allows you to predict the stability of a closed system communicating with the welding system. 4. Stability design and fuzzy EBA algorithm. From now on, I am not looking for the stability of the original system, but the stability of the system in the cloud. Therefore, the stability criteria are listed below. Claim. Any type of system is blocked in a large stable by a PDC if the following LMI conditions are met: ),(),(),(),( mmimmimmimm T i WBQAQA  −+ 0),(),( − mm T imm T i BW  (32). Among them QKW immi =),(  _ QKW jmmj =),(  Nick ),( mmi W  Chen ),( mmj A  2014 ),( mmi A  to be replaced ),( mmj W  No proof needed. SPEKTRUM INDUSTRI Vol. 20. No 1, April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 51 The entire determination process can be summarized as the following algorithm. How to format the controller described below in a given system? Selecting the appropriate step size parameter will correctly move the agent into the solution space. This means improving the accuracy of finding the best solutions and reducing the likelihood of local optimization. Medium air was selected in our experiments because bats live in a natural environment of natural air. Here is a brief description of EBA's activities: Step 1: Randomly assign coordinates to the synthetic material scattered in the solution area. Step 2: Enter a random number and check if the emission rate is faster than the steady pulse. If the result is positive, we move rashly in the middle of the logarithm of the process. Dxx t i t i += −1 (33) where t i x i - i - represents the coordinates of the iteration 1−t i x associated with the human agent, represents the coordinates of the agent and itself in the last iteration, and is a unit. D Space represents the journey of two human agents in this iterative system. TD =  with* Mean constant corresponding to a  mathematical mean of his choice . Represents possible experiments and random numbers 1] [-1,T . For example 17.0= , in the present experiment , air is their medium of choice. ( )t ibest t i xxxR −= ,  1 ,0 with*  Represents a random real number . best x Its coordinates represent the best solution ever found among all human agents. Rt i x A real person represents new coordinates as a result of a random process of locomotion self-deformation. Step 3: The Role of the User Defined Exercise builds adaptation and renews it to a suboptimal saved solution. Step 4: Check the output mode, see if you can go back to step 2 or finish the project and provide a better solution. The adaptability of the experimental features in evaluation and testing is determined using user- defined criteria. In other words, the educational function is an expression of math in the solution area, and you have to solve the user's problem or find the best solution . Therefore, this article describes a common positive symmetry matrix and educational task on discovering directional forces. 5. Experimental and simulation effects Consider a building (Yang et al., 1998) in which the structure of each area of the unit is the same. The 76-story building is a vertical ray model. The final model is constructed by treating the structural elements between two adjacent layers as a homogeneous bundle of classical material with a density that assumes 76 degrees of displacement freedom, especially 76 degrees of rotation freedom. Then 76 degrees of freedom are removed with the permanent barrier. It does 76 degrees of freedom . This means that each floor moves to one side. The first five physical frequencies are 0.166, 0.765, 1.992, 3.790, and 6.395 Hz. The RH table for a 76 degree-of-freedom building was calculated using the Rayleigh method and the calculated Moisture Coefficient will be 1% in the first 5 settings. This model has a mass, moisture, and stiffness matrix and is referred to as the "76DOF model". The ATMD equation is constructed WHKxxCxM  u =+++  (34). The unit is in the form of a ]x,x,...,x,x[ m7621 =x lock with xi. Matrix of force u control M, C, K, wind excitation W, control effect H and  excitation effect. The resulting equation of state is expressed by the formula: EWBAxx ++= u  (35) A unit whose ] ,[ = xxx  total state vector is 48-dimensional. Moreover, in the matrix A represents the ratio , B is (48 1) the action item vector, and )4848(  the unit E is the result of )7748(  the matrix of SPEKTRUM INDUSTRI Vol. 20 No. 1 April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 52 coefficients excitation . Likewise, the 76 DOF model (without ATMD building) can be reduced to a 23 DOF system while retaining the original complexity function 46 of the original system. But in these cases, the dimensions A , B , x AE is )146(  , )4646(  and )146(  u is respectively )7646(  0 . The wind load W is naturally generated by an in situ 24DOF (or 23DOF model) wind formed from adjacent settling beams. These simpler examples are represented by W24 with 24 degrees of freedom and W23 with 23 degrees of freedom. A dimensionless version of the standard performance was designed       = ox x ox x ox x ox x ox x ox x ox x ox xJ 75 75 75 70 75 65 75 60 75 55 75 50 75 30 75 1 1 ,,,,,,,max                                 (36) The effective ix  acceleration value of the ith layer is shown here . Unit o75x  = 2 sec/cm 9.824 Indicates excessive acceleration at 75 rms . According to performance and standards 1J , acceleration is limited to 75 floors. This is because the 76th floor is on the top floor of the building and there are no passengers. The second largest hiring standard is the average free wage above 49 floors.  −= i ioxixiox2 ])([ 6 1 J  (37) In this case , the acceleration unit is iox  independent of the layers. Metric is the ability to control the restricted area . The standard version is:                         = o76x 76x o76x 75x o76x 70x o76x 65x o76x 60x o76x 55x o76x 50x o76x 30x o76x 1x 3 ,,,,,,,,maxJ (38)  −= i xioxixio4 ])([ 7 1 J (39) The unit is xi a unit xio  with displacement and no control, and unit = 10.112 cm, the layout o76x  represents the 76th floor of an untamed building. Each of these objectives must be met in the control so that kN 100u  the capacity constraints are taken into account and cm 25xm  where the azimuth outputs and actions are u  rms xm  controlled. In addition to the above limitations, the following factors should be considered and the proposed administrative burden management requirements should be considered. o76xxm5J = (40) o76xmx6J  = (41) This mx speed is run by rms. The performance criteria correspond to the body size (i.e., jump) and potency (i.e., the act of speed) of the agent. For uncontrolled buildings it is o76x  9.28 cm / sec. Where mx is the rms speed of the actuator. There is a need to perform a statistical simulation (completion) of the proposed application analysis project to estimate its performance based on the following virtual dimensions:         = o75p 75p o75p 70p o75p 65p o75p 60p o75p 55p o75p 50p o75p 30p o75p 1p 7 x x , x x , x x , x x , x x , x x , x x , x x maxJ                 (42)  −= i piopipio8 ]x)xx([ 6 1 J  Ad i = 50, 55, 60, 65, 70 and 75 (43) SPEKTRUM INDUSTRI Vol. 20. No 1, April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 53         = o76p 76p o76p 75p o76p 70p o76p 65p o76p 60p o76p 55p o76p 50p o76p 30p o76p 1p 9 x x , x x , x x , x x , x x , x x , x x , x x , x x maxJ (44)  −= i piopipio10 ]x)xx([ 7 1 J For i = 50, 55, 60, 65, 70, 75 and 76 (45) Here , peak pi x displacement pi x , peak acceleration, and uncontrolled pio x peak displacement all have corresponding acceleration measurements. For example o76p x = pio x 26 009 cm i o75p x = 26 334 cm / 2 sec. The analysis of the limiting motion of the compression response is as follows : The maximum possible force kN 300)t(umax  factor and the maximum possible stroke is )t(xmax m 75 cm. Proof of sem o76ppm11 xxJ = and o76ppm12 xxJ = (46) where pm x , pm x peak actuator stroke speed and peak o76p x speed = 22.422 cm / s in 76 layers without power. However, this limitation does not apply to administrative profits as the overall government influence over the overall system is relatively small. Table 1 shows that all EBA test variables were used. In accordance with the above-mentioned by genetic learning, the number of individuals is 9, the number of individuals is eleven, the migration rate is 0.72, the mutation rate is 0.12, the maximum number of generations is 13. Now ̂ select the initial GA vector parameter value as follows : T ]1,25.0,13.0,11.0,085.0,0,085.0,11.0,13.0,16.0,1[ −−−−− Table 2. EBA parameters above Boundary condition between positive fixed matrix and regulator gain -5, 5. with very little material air Run with numbers 4 0 __ population size 2 6 Repeat the entered number 700 700 Like other computational algorithms and evolutionary methods, these EBAs definitely need iteration to find the next solution. Therefore, the same number probability test must be repeated several times over a long period of time to check that the convergence of the results is constant and constant. The number of methods listed in Table 1 and figure 7 are intended to provide some numerical experimental results for testing with statistical methods. In this article, we select a specific number of iterations for the excellence condition. The multimedia material is selected for use in the transmission of waves in the air because it is adapted to the natural environment in which the club is located. SPEKTRUM INDUSTRI Vol. 20 No. 1 April 2022 pp. 43-56 Robust controller numerical design for... (Tim Chena et. al.) 54 Figure 7. Displacement stability CONCLUSION Therefore , the theory of control has influenced many researchers in recent years. Many numerical methods are still proposed in the literature to achieve this great goal by experiencing different forms of government, but they all have some difficulties in getting the right problem. The EBA algorithm is one of the leading innovative optimization methods that can provide researchers with solutions for various optimization. The EBA uses this white paper to optimize the administrative meetings in the building. The optimization parameter is the controller input and the response state provides the output to change its position relative to the engine curve. In this example, there are also new standards for ensuring system stability. This simple and systematic approach to point control helps to deal with external stimuli affecting complex mechanical systems. REFERENCES Adley H, Jiang XM (2006) Dynamic model of neural network with fuzzy wavelets for identification of structural systems. International Journal of Structural Engineering (ASCE): 132(1): 102-111. Afshar, A. et al. Assessment of the corrosion resistance of basic materials with the use of various types of concrete with various modified coatings and additives. Construction and Construction of Materials, 2020 262: 120034. Al-Amoudi, OSB, et al. The durability of Continental pozzolani Saudi Arabia concrete is natural as an auxiliary support material. 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