Developed comparative analysis of metaheuristic optimization algorithms for optimal active control of structures (original) (raw)

Optimal Control of Structures under Earthquakes Including Soil-Structure Interaction

Journal of Earthquake Engineering, 2017

The active control of engineering structures is one of the best methods to reduce structural responses under seismic excitation for the best performance of structures. This study presents an effective approach for the optimal control of structures under strong ground motion using the colonial competitive algorithm. The colonial competitive algorithm was developed over the last few years in an attempt to overcome the inherent limitations of traditional optimize method. The colonial competitive algorithm has been applied due to its ideal performance in optimal control problem. The effectiveness and performance of the proposed method have been investigated through two numerical examples for the response control of earthquake-excited structures. The obtained results have been compared with the Linear Quadratic Regulator (LQR) control algorithm, and the performance of the proposed control approach has been found to be better than the LQR controller.

Optimal passive and active control mechanisms for seismically excited buildings

2000

Abstract Optimisation methods for designing passive and active control mechanisms of buildings under earthquake loading is developed in this thesis. In designing passive and active control devices, the performance indices developed in the modern control theory are utilised in conjunction with genetic algorithms. These performance indices include linear quadratic regulator (LQR), Lı, H 2 and H∞ norms.

WAVELET PSO-BASED LQR ALGORITHM FOR OPTIMAL STRUCTURAL CONTROL USING ACTIVE TUNED MASS DAMPERS

This study presents a new method to find the optimal control forces for active tuned mass damper. The method uses three algorithms: discrete wavelet transform (DWT), particle swarm optimization (PSO), and linear quadratic regulator (LQR). DWT is used to obtain the local energy distribution of the motivation over the frequency bands. PSO is used to determine the gain matrices through the online update of the weighting matrices used in the LQR controller while eliminating the trial and error. The method is tested on a 10-story structure subject to several historical pulse-like near-fault ground motions. The results indicate that the proposed method is more effective at reducing the displacement response of the structure in real time than conventional LQR controllers.

Optimum design of structures against earthquake by adaptive genetic algorithm using wavelet networks

Structural and Multidisciplinary Optimization, 2004

Optimum design of structures against earthquake is achieved by a modified genetic algorithm. Some features of the simulated annealing are used to control various parameters of the genetic algorithm. To reduce the computational work, a fast wavelet transform is used by which the number of points in the earthquake record is decreased. For this purpose, the record is decomposed into two parts. One part contains the low frequency and the other possesses the high frequency of the record. The low-frequency part is used for dynamic analysis. Then, by using a wavelet network, the dynamic responses of the structures are approximated. By such approximation, the dynamic analysis of the structure is not necessary during the optimisation process. Thus, wavelet neural networks have been employed as a general approximation tool for the time-history dynamic analysis and estimation of the dynamic responses in the process of optimisation. A number of structures are designed for optimal weight against El Centro earthquake and the results are compared with those of the exact approach.

Wavelet-neuro-fuzzy control of hybrid building-active tuned mass damper system under seismic excitations

Journal of Vibration and Control, 2013

This paper investigates the multi-objective optimization of active control systems for vibration control of three-dimensional (3D) high-rise buildings under a variety of earthquake excitations. To this end, a novel multi-objective genetic algorithm is developed through the integration of the best features of a non-dominated sorting II (NS2) genetic algorithm (GA) and an implicit redundant representation (IRR) GA. The proposed NS2-IRR GA finds not only minimum distributions of both actuators and sensors within structures, but also minimum dynamic responses of 3D structures. Linear quadratic Gaussian controllers, hydraulic actuators and accelerometers are used for implementation of active control systems within the 3D buildings. To demonstrate the effectiveness of the proposed NS2-IRR GA, two 3D building models are investigated using finite element methods, including low-and high-rise buildings. It is shown that the proposed NS2-IRR GA is effective in finding not only optimal locations and numbers of both actuators and sensors in 3D buildings, but also minimum responses of the 3D buildings. The simulation also shows that the control performances of the proposed approach significantly enhance those of the engineering judgment oriented benchmark layout, which is validated by comparisons of each performance using the same number of actuators.

Optimal Design of Passive and Active Control Systems in Seismic-excited Structures Using a New Modified TLBO

Periodica Polytechnica Civil Engineering

Vibration control devices have recently been used in structures subjected to wind and earthquake excitations. The optimal design problems of the passive control device and the feedback gain matrix of the controller for the seismic-excited structures are some attractive problems for researches to develop optimization algorithms with the advancement in terms of simplicity, accuracy, speed, and efficacy. In this paper, a new modified teaching–learning-based optimization (TLBO) algorithm, known as MTLBO, is proposed for the problems. For some benchmark optimization functions and constrained engineering problems, the validity, efficacy, and reliability of the MTLBO are firstly assessed and compared to other optimization algorithms in the literature. The undertaken statistical indicate that the MTLBO performs better and reliable than some other algorithms studied here. The performance of the MTLBO will then be explored for two passive and active structural control problems. It is conclude...

Optimization of Semi-Active Control of Seismically Excited Buildings Using Genetic Algorithms

Scientia Iranica, 2010

In this paper, the performance of semi-active viscous dampers in reducing the response of tall buildings to earthquake acceleration is optimized using genetic algorithms. Torsional e ects due to irregularities exist in the building and due to unsymmetrical placement of the dampers are taken into account through 3-D modeling of the building. For the numerical example, a twelve-story building is chosen. The building is modeled as a 3-D frame. The equations of motion of the building with semi-active viscous dampers, subjected to earthquake acceleration, is written, resolved in state space and the results are compared with those of the uncontrolled building. Moreover, in order to minimize building responses such as top story displacement and base shear, the required number and location of dampers are optimized using genetic algorithms.

A Time Varying Optimal Algorithm for Active Structural Response Control

Scientia Iranica, 2014

In this paper, a time varying optimal control algorithm (-method) is proposed to control building responses against environmental earthquake excitations. The proposed method is presented through de ning a rational relation between the state variables of a structure with active and passive control systems with identical mechanisms. This procedure results in a time varying gain matrix with adaptable ability to external excitation, in order to decrease the extra need for maximum and/or total control force. Performance of the proposed method is examined by applying it to an eight-story shear type building subjected to various ground accelerations. Numerical results indicate that the proposed algorithm in some cases reduces the power consumption demand signi cantly, without any reduction in control system performance, in comparison with the classical closed loop optimal control method, and, in the worst case, acts in a similar way.

Seismic response of high-rise buildings through metaheuristic-based optimization using tuned mass dampers and tuned mass dampers inerter

Journal of building engineering, 2021

This paper presents a methodology for the tuning process of tuned mass dampers (TMDs) and tuned mass dampers inerter (TMDIs) positioned at the upper story of high-rise buildings under seismic excitations. A numerical study is conducted through the best fitness design values found through the optimization of three objective functions in the time domain by using a metaheuristic optimization, based on the differential evolution method (DEM): (1) minimizing the horizontal peak displacements; (2) minimizing the root mean square (RMS) response of displacements; and (3) minimizing the horizontal peak acceleration floor. The proposed methodology is applied to a 12-story, a 32-story, and a 37-story case-studies determined from actual building structures, and the optimum results are verified through a set of eight accelerograms of recorded earthquakes. The comparisons with the existing approaches show the feasibility of the DEM-based optimization. After evaluating the seismic performance, the results show a clear trend amplifying displacements as inertance values increase, and consequently, an improved seismic response is attained in the case-studies controlled via TMD. Finally, the effectiveness of classic TMDs optimally designed by DEM over TMDIs is demonstrated

A Simple Active Control Algorithm for Earthquake Excited Structures

Computer-Aided Civil and Infrastructure Engineering, 2010

A simple integral type quadratic functional is proposed as the performance index so that the optimal control policy is derived based on the minimization of the proposed performance index between the successive control instants by using the method of calculus of variations. The resulting optimal control law is applied to seismically excited linear buildings modeled as lumped mass shear frame structures. Active tendon actuators are considered as control devices. The performance of the proposed control (PC) is investigated when the example structure is subjected to three different seismic inputs and compared to the uncontrolled case and the classical linear optimal control (CLOC), which requires the solution of nonlinear matrix Riccati equation. It is shown by numerical simulation results that the PC is capable of suppressing the uncontrolled seismic vibrations of the linear structures and performs better than the CLOC.