考虑压电陶瓷不确定性的鲁棒自适应控制

选择信息熵作为判定相似性的工具,在判定数据相似性的基础上选择控制对象等效模型参数。采用简单的一阶惯性模型等效复杂的压电陶瓷模型。考虑实际压电器件的不确定性,在等效模型中,将不确定性视为符合高斯分布的变量。考虑不确定参数的影响,基于线性矩阵不等式(LMI)法的鲁棒镇定,保证系统的鲁棒稳定性。选定控制目标,使用自适应李雅普诺夫(Lyapunov)函数方法设计模型控制器。仿真结果验证控制策略效果良好。

Robust Adaptive Control of Piezoelectric Ceramics Considering Its Uncertainty

Selecting the information entropy as the judging similarity tool, the control object equivalent model parameters are selected based on the determined data similarity. The complex piezoelectric ceramics model with one order inertial model is used. Considering the uncertainty of piezoelectric devices,in the equivalent model, the uncertainty is deemed to comply with the variable parameters of the Gauss distribution. Considering the uncertain parameters, robust stabilization based on LMI method,guarantee the robust stability of the system. The selected control target, using adaptive Lyapunov method for stability design model controller.The simulation results validate the control strategy has good effect.