Dissipative control for nonlinear Markovian jump systems with mixed time-delays: The discrete-time case

被引：24

作者：

Ma, Lifeng ^{[1
]}

Fang, Xiaoli ^{[1
]}

Yuan, Yuan ^{[2
]}

Zhang, Jie ^{[1
]}

Bo, Yuming ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[2] Northwestern Polytech Univ, Sch Astronaut, Xian, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2020年 / 30卷 / 07期

基金：

中国国家自然科学基金;

关键词：

dissipative control; Hamilton-Jacobi inequality; mixed time-delays; nonlinear Markovian jump systems; H-INFINITY CONTROL; STOCHASTIC NEURAL-NETWORKS; SYNCHRONIZATION; ROBUST;

D O I：

10.1002/rnc.4906

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article is concerned with the dissipative control problem for discrete-time nonlinear Markovian jump systems subject to both discrete and distributed time-delays. The purpose is to design a state feedback controller that is capable of guaranteeing the required closed-loop stability and dissipativity performances simultaneously. By resorting to Lyapunov functional methodology and completing square technique, sufficient conditions are established for the existence of the desired state feedback controller in terms of certain Hamilton-Jacobi inequalities (HJIs). Within the provided framework, the required controller parameters can be obtained by solving the corresponding HJIs. Finally, two numerical simulation examples are presented to demonstrate the correctness and effectiveness of the developed control paradigm.

引用

页码：2871 / 2888

页数：18

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