Optimal Vibration Control for Structural Quasi-Hamiltonian Systems with Noised Observations
Optimal Vibration Control for Structural Quasi-Hamiltonian Systems with Noised Observations
复制标题
DOI：
10.20855/ijav.2017.22.2469
复制
发表时间：
2017-06
影响因子：
1
通讯作者：
Z. Ying;R. Hu;R. Huan
中科院分区：
文献类型：
--
作者：
Z. Ying;R. Hu;R. Huan
研究了具有智能传感器和执行器的结构控制系统，给出了其基本动力学方程。通过离散化非线性随机智能结构系统，得到了受控、随机激励、耗散的Hamilton系统。利用扩展卡尔曼滤波器的观测值确定最优状态估计，得到了具有控制的非线性随机系统的估计。基于随机动态规划原理，得到了被估计系统的动态规划方程。由此，确定依赖于估计状态的最优控制律。所提出的最优控制策略应用于两个非线性随机系统的控制和噪声观测。数值结果说明了控制系统的随机振动响应的减少效果。所提出的最优控制策略适用于具有智能传感器、智能执行器和噪声观测的一般非线性随机结构系统。
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.