数学
非线性系统
解耦(概率)
基质(化学分析)
控制器(灌溉)
应用数学
计算机科学
控制理论(社会学)
人工智能
控制(管理)
农学
物理
材料科学
量子力学
控制工程
工程类
复合材料
生物
标识
DOI:10.1016/j.jfranklin.2023.09.013
摘要
The robust H∞ dynamic output feedback (DOF) control for a class of nonlinear time-varying delay rectangular descriptor Markov jump systems (DMJSs) is discussed in this paper, there are no restrictions on the rows and columns of the differential matrix E. The rectangular DOF controller is designed to make the closed-loop system as square DMJSs. Firstly, by utilizing a mode-dependent and delay-dependent Lyapunov-Krasovskii (L-K) functional and implicit function theorem, sufficient conditions are given to guarantee that the augmented closed-loop systems are robust stochastically admissible with an H∞ performance and have unique solution simultaneously. Then based on certain matrix decoupling techniques, a new strict linear matrix inequality (LMI) sufficient condition for the existence of a rectangular DOF controller is obtained, and the controller is given. Finally, numerical examples are presented to verify the validity of the results.
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