一类不确定非线性奇异系统的保性能控制

摘要

研究了一类不确定非线性奇异系统的保性能控制问题,目的是设计一个新的保性能控制器,并应用线性矩阵不等式方法和Lyapunov稳定性理论给出状态反馈保性能控制器存在的充分条件.该方法避免了通过求解复杂Riccati方程的解的形式.最后,通过线性矩阵不等式的可行解给出了保性能控制器的设计方法.%Guaranteed cost control for nonlinear uncertain singular systems is discussed. The aim is to design a new guaranteed cost controller . Then the conditions for existence of guaranteed cost controller by LMI approach and Lyapunov stability are given. It invoids the method of solving the solutions of Riccati equations. Finally, it gives the method of guaranteed cost controller by use of the feasible solution of linear matrix inequality.