线性时变周期广义系统的弹性控制

The Resciliently Control of Linear Time-varying Periodic Singular System

线性时变周期广义系统是一类十分重要的系统,在研究该类系统的二次稳定问题时,一般需要设计无记忆状态反馈控制器.但是,设计传统状态反馈控制器时,一般很少涉及到控制器的鲁棒性,从而导致设计的控制器相对脆弱.而本文设计出了弹性控制器,解决了控制器的鲁棒性问题.且给出了基于LMI的弹性控制器的设计方法.最后,利用仿真实例,对该方法的有效性进行了验证.

Linear time-varying periodic singular systems are very important systems. When we study the quadratic stability of such systems,it is generally necessary to design a memoryless state feedback controller. However,when we design the traditional state feedback controllers,the robustness of the controller is seldom related to the controller,which leads to the design of the controller is relatively weak. In this paper,the designed resciliently controller will solve the problem of robustness of the controller. Moreover,the method of designing a resciliently controller based on LMI is given. Finally,the effectiveness of the method is validated by a simulation example.