广义系统静态输出反馈控制的一个新方法

对广义系统提出了一种新的、简单的静态输出反馈控制器的设计方法.通过引入辅助矩阵变量,对含有Lyapunov矩阵和输出反馈控制器增益矩阵的双线性不等式进行解耦,并结合变量替换法将双线性不等式及包含Lyapunov矩阵的非严格不等式转化为线性矩阵不等式(LMI).利用这种方法,能够得到保证闭环广义系统容许性的LMI条件和静态输出反馈控制器.一个数值例子表明了所提方法的有效性.该方法很容易推广到正常系统的静态输出反馈控制.

A New Approach to Static Output Feedback Control for Singular Systems

A new and simple method is proposed to design the static output feedback controller for singular systems. The bilinear inequality including Lyapunov matrix and output feedback gain matrix is decoupled by introducing an auxiliary matrix variable and, combining with the variable substitution method, the bilinear inequality and the non-strict inequality including Lyapunov matrix are transformed into a linear matrix inequality (LMI). In this way, the sufficient conditions are available to the admissibility of closed-loop singular system. An output feedback controller is given. A numerical example is given to show the effectiveness of the method proposed, which is easy to extend to the static output feedback control of normal systems.