非线性不确定性奇异系统的鲁棒H_∞控制

ROBUST H_∞ CONTROL OF SINGULAR SYSTEMS WITH NONLINEAR UNCERTAINTIES

讨论了非线性不确定性奇异系统的鲁棒H∞ 控制问题 给出了非线性不确定性奇异系统的H∞ 鲁棒性能准则 ,利用线性矩阵不等式 (LMIs)的方法 ,给出了系统满足H∞ 鲁棒性能准则的充分条件 在这个条件下 ,分别讨论了非线性不确定性奇异系统的鲁棒H∞ 状态反馈控制器和输出反馈控制器的设计 ,得到了鲁棒H∞

The robust H ∞ control problem for singular systems with nonlinear uncertainties is discussed.For singular systems with nonlinear uncertainties,the H ∞ robust performance rule is proposed,and a sufficient condition that the system satisfies the H ∞ robust performance rule is given by using LMIs.Under the condition,the designs of robust H ∞ state feedback controllers and output feedback controllers for nonlinear uncertain singular systems are discussed,respectively,and the sufficient conditions that there exist robust H ∞ controllers are obtained.