摘要
设计了分散状态反馈H∞控制器,引入一种积分不等式方法,结合Lyapunov-Krasovskii泛函方法和积分矩阵不等式技巧导出了此类系统的时滞分散H∞控制的非线性矩阵不等式(NMI)充分条件。使用改进的锥补法(CCL)导出了此类系统时滞分散H∞控制的线性矩阵不等式(LMIs)充分条件。
The time-delays are assumed as time-varying. The decentralized state feedback H∞ controllers are designed. A method called integral inequality method (IIM) is introduced. Combining the Lyapunov-Krasovskii functional approach and the integral inequality of matrices, the delay sufficient conditions for the existence of robust decentralized H∞ control are presented in terms of nonlinear matrix inequalities. Combing the modified cone complementary linearization algorithm, the delay sufficient conditions for the existence of robust decentralized H∞ control are presented in terms of linear matrix inequalities.
关键词
关联大系统
状态反馈
分散H∞
控制
锥补法
线性矩阵不等式
interconnected large-scale system
state feedback
decentralized H∞ control
CCL algorithm
LMI