具有执行器饱和的切换系统鲁棒H_∞控制

Robust H_∞ Control for Switched Systems with Actuator Saturation

研究具有执行器饱和、不匹配不确定性和外部干扰的切换系统的鲁棒H∞控制。通过低增益反馈和平均驻留时间方法,设计了鲁棒H∞控制器和时间依赖切换律。该控制器的一个重要特点是:可以通过减小低增益参数来避免执行器饱和。通过求解线性矩阵不等式获得了控制器的增益。最后,通过数值仿真验证所提方法的有效性。

This paper studies robust H∞control for switched systems with actuator saturations,mismatched uncertainties and external disturbances.Based on the low gain feedback and the average dwell time methods,robust H∞controller and time-dependent switching law are designed.An important feature of the controller is that the actuator saturation can be avoided by reducing the low gain parameters.The gain parameters of the designed controller can be obtained by solving the linear matrix inequalities(LMIs).Finally,a numerical example is given to illustrate the effectiveness of the proposed method.