线性广义系统基于观测器的严格耗散控制

研究线性广义系统基于观测器的严格耗散控制器的设计问题。首先利用Lyapunov函数的方法，由矩阵不等式的形式给出满足要求的基于观测器的控制器存在的一个充分条件，保证闭环广义系统容许（即正则、稳定、无脉冲）且严格耗散。进而在上述条件的基础上，通过矩阵缩放技术和矩阵等价变换得到由线性矩阵不等式（LMI）形式给出的满足要求的控制器的存在条件和设计方法。最后给出一个数值算例说明设计方法的有效性及可行性。

Observer-based Strictly Dissipative Control for Linear Singular Systems

This paper mainly deals with the problem of designing observer-based strictly dissipative controllers for linear singular systems.By using the Lyapunov function method,a sufficient condition in terms of matrix inequalities is given for the existence of an observer-based controller,which can guarantee the closed-loop linear singular system admissible(i.e.regular,stable and impulse free) and strictly dissipative.Based on the above condition,by means of matrix magnified inequalities and matrix equivalence tran...