面向控制的压电主动结构建模方法

CONTROL-ORIENTED MODELING METHOD FOR PIEZOELECTRIC ACTIVE STRUCTURES

以压电悬臂板为分析对象,通过对系统输入-输出数据作变换处理,隐式地设计最小拍状态观测器,基于状态观测器的Markov参数计算系统Markov参数,亦即系统脉冲响应采样值,然后采用特征系统实现算法辨识得到系统最小实现,所建立的智能结构的状态空间模型能控、能观,为控制器设计提供了一个较为精确的数学模型.

This paper analyzed the dynamics of a cantilever plate with piezoelectric actuators. A deadbeat state observer was achieved implicitly through processing the general input - output data, and the actual system Markov parameters were recovered from the observer Markov parameters. Then, the Eigensystem Realization Algorithm (ERA) was employed to develop an explicit state space model of the equivalent linear system. The mathematical model obtained by ERA is controllable and observable and is suitable for the purpose of controller design.