不确定系统D稳定与方差约束的鲁棒H∞可靠控制

H-infinity control of uncertain systems with D-stability and variance constraints

研究了一类不确定系统区域稳定和方差约束的鲁棒H∞可靠控制器的设计方法,其目的是通过设计状态反馈控制器,使闭环系统的极点被配置在给定的圆盘中,同时,当有外生扰动,以及所有可能的不确定及其敏感执行器失效的时候,依然能满足闭环传递函数H∞范数有界和稳态方差的约束.借助于LMI和凸优化技术,给出了控制器存在的充分条件及其解析式.最后,通过一个仿真例子,说明该方法的可行性.

We design an H-infinity controller with state feedback for a class of uncertain systems. It places the closedloop poles within a specified disk, and meets the requirements of the H-infinity-norm bound and variance constraints, for all external disturbances and admissible uncertainties including actuator failures. By using the convex optimization technique, the sufficient conditions for the existence and the analytical expression of the controller are obtained in terms of the linear matrix inequality. An illustrative example is provided to demonstrate the feasibility of the proposed method.