Optimal Vibration Control for Structural Quasi-Hamiltonian Systems with Noised Observations

被引:1
|
作者
Ying, Zu-guang [1 ]
Hu, Rong-chun [2 ]
Huan, Rong-hua [1 ]
机构
[1] Zhejiang Univ, Sch Aeronaut & Astronaut, Dept Mech, Hangzhou 310027, Zhejiang, Peoples R China
[2] Zhejiang Univ, Dept Civil Engn, Coll Civil Engn & Architecture, Hangzhou 310058, Zhejiang, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
STOCHASTIC OPTIMAL-CONTROL; OPTIMAL-CONTROL STRATEGY; OF-THE-ART; SEMIACTIVE CONTROL; SMART STRUCTURES; FINITE-ELEMENT; DAMPERS; SENSORS; PLATE;
D O I
10.20855/ijav.2017.22.2469
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A structural control system with smart sensors and actuators is considered and its basic dynamic equations are given. The controlled stochastically excited and dissipative Hamiltonian system with a noised observation is obtained by discretizing the nonlinear stochastic smart structure system. The estimated nonlinear stochastic system with control is obtained in which the optimally estimated state is determined by the observation based on the extended Kalman filter. Then the dynamical programming equation for the estimated system is obtained based on the stochastic dynamical programming principle. From this the optimal control law dependent on the estimated state is determined. The proposed optimal control strategy is applied to two nonlinear stochastic systems with controls and noised observations. The control efficacy for stochastic vibration response reductions of the systems is illustrated with numerical results. The proposed optimal control strategy is applicable to general nonlinear stochastic structural systems with smart sensors smart actuators and noised observations.
引用
收藏
页码:233 / 241
页数:9
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