Abstract
The integrated multiobjective optimal design method for structural active control system is put forward based on improved Pareto multiobjective genetic algorithm, through which the position of actuator is synchronously optimized with active controller. External excitation is simulated by stationary filtered white noise. The root-mean-square (RMS) of structural response and active control force can be achieved by solving Lyapunov equation in the state space. The design of active controller adopts linear quadratic regulator (LQR) control algorithm. Minimum ratio of the maximum RMS of controlled structural displacement divided by the maximum RMS of uncontrolled structural displacement and minimum ratio of the maximum RMS of controlled structural shear divided by the maximum RMS of uncontrolled structural shear, together with minimization of the sum of RMS of active control force, are used as the three objective functions of multiobjective optimization. The optimization process takes the impact of structure and excitation parameter on the optimized results. An eight-storey six-span plane steel frame was used as an emulational example to demonstrate the validity of this optimization method. Results show that the proposed integrated multiobjective optimal design method is simple, efficient, and practical with good universality.
Highlights
In the research area of structural active control, optimal design of the control system, especially the position optimization of actuator, is always one of the hottest hot points of research
Previous researches have neglected the internal relations between the position optimization of control devices and the controller itself [7], and the optimization processes are always carried out in time domain [8, 9], in which the optimal position of actuator is worked out only based on certain external excitation and optimization rules [10, 11]
In this paper, improved multiobjective genetic algorithm based on Pareto optimal solution [25] is adopted to make multiobjective integrated optimal design of active control system
Summary
In the research area of structural active control, optimal design of the control system, especially the position optimization of actuator, is always one of the hottest hot points of research. The optimization process of the method proposed in this paper can be carried out in the frequency domain, so that the computational efficiency is very high, which is applicable to the complex plane model’s optimization of active control system, and can obtain the optimal layout position of actuator. In the this has important reference value for the practical application in engineering. This paper takes a plane frame structure as an example to certify the effectiveness of proposed active control integrated multiobjective optimization design method
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