A unified design for state and output feedback H∞ control of nonlinear stochastic Markovian jump systems with state and disturbance-dependent noise

被引：65

作者：

Lin, Zhongwei ^{[2
]}

Lin, Yan ^{[2
]}

Zhang, Weihai ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266510, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, Sch Automat, Beijing 100191, Peoples R China

来源：

AUTOMATICA | 2009年 / 45卷 / 12期

关键词：

H-infinity control; Nonlinear systems; Stochastic systems; Markovian jumps; Output feedback; TIME-DELAY SYSTEMS; LINEAR-SYSTEMS; STABILITY; STABILIZATION;

D O I：

10.1016/j.automatica.2009.09.027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a class of continuous-time nonlinear stochastic Markovian jump systems with state- and disturbance-dependent noise, both the state and output feedback H-infinity control problems are studied. Based on the solvability of a set of coupled Hamilton-Jacobi inequalities (HJIs), we give a unified design for both state and dynamic output feedback H-infinity control via a common function u(., r(t)) (i.e., u(x, r(t)) is a state feedback H-infinity control, while u(x, r(t)) is the desired output feedback H-infinity control). (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2955 / 2962

页数：8

共 50 条

[1] State-feedback H∞ control for stochastic time-delay nonlinear systems with state and disturbance-dependent noise [J].

Li, Huiping ;

Shi, Yang .

INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (10) :1515-1531

[2] Output feedback H∞ control of stochastic nonlinear time-delay systems with state and disturbance-dependent noises [J].

Li, Huiping ;

Liu, Xiaotao ;

Shi, Yang .

NONLINEAR DYNAMICS, 2014, 77 (03) :529-544

[3] Some Remarks on General Nonlinear Stochastic H∞ Control With State, Control, and Disturbance-Dependent Noise [J].

Zhang, Weihai ;

Chen, Bor-Sen ;

Tang, Huaibin ;

Sheng, Li ;

Gao, Ming .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) :237-242

[4] Dynamic Output Feedback Asynchronous Control of Networked Markovian Jump Systems [J].

Liu, Xinghua ;

Ma, Guoqi ;

Pagilla, Prabhakar R. ;

Ge, Shuzhi Sam .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07) :2705-2715

[5] Quantized output feedback control for nonlinear Markovian jump distributed parameter systems with unreliable communication links [J].

Song, Xiaona ;

Wang, Mi ;

Song, Shuai ;

Wang, Zhen .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 353 :371-395

[6] Finite-Time H∞ Static Output Feedback Control for Ito Stochastic Markovian Jump Systems [J].

Liu, Xikui ;

Teng, Yapeng ;

Li, Yan .

MATHEMATICS, 2020, 8 (10) :1-16

[7] Robust finite-time H2/H∞ control for stochastic Markovian jump systems via state feedback [J].

Liu, Xikui ;

Gao, Long ;

Li, Yan .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2024,

[8] Stochastic $\mathcal {H}_{\infty }$H∞ control of state-dependent jump linear systems with state-dependent noise [J].

Chitraganti, Shaikshavali ;

Aberkane, Samir .

IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (09) :1291-1297

[9] Output feedback control for singular Markovian jump systems with uncertain transition rates [J].

Chen, Jian ;

Lin, Chong ;

Chen, Bing ;

Wang, Qing-Guo .

IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (16) :2142-2147

[10] Robust Asynchronous Output-Feedback Controller Design for Markovian Jump Systems With Output Quantization [J].

Li, Xiaohang ;

Zhang, Weidong ;

Lu, Dunke .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (02) :1214-1223

← 1 2 3 4 5 →