Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays

被引：127

作者：

Shen, Hao ^{[1
]}

Xu, Shengyuan ^{[1
]}

Lu, Junwei ^{[2
]}

Zhou, Jianping ^{[1
]}

机构：

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

[2] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing 210042, Jiangsu, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 05期

关键词：

H-INFINITY CONTROL; STABILITY; DISCRETE;

D O I：

10.1016/j.jfranklin.2011.11.011

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 paper considers the passivity-based control problem for stochastic jumping systems with mode-dependent round-trip time-varying delays and norm-bounded parametric uncertainties. By utilizing a novel Markovian switching Lyapunov functional, a delay-dependent passivity condition is obtained. Then, based on the derived passivity condition, a desired Markovian switching dynamic output feedback controller is designed, which ensures the resulting closed-loop system is passive. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed results. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1665 / 1680

页数：16

共 27 条

[1]

[Anonymous], ICIC EXPRESS LETT

[2] Optimal filtering for linear state delay systems [J].

Basin, M ;

Rodriguez-Gonzalez, J ;

Martinez-Zuñiga, R .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :684-690

[3] Central suboptimal H∞ control design for nonlinear polynomial systems [J].

Basin, Michael V. ;

Shi, Peng ;

Calderon-Alvarez, Dario .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (05) :801-808

[4]

Boukas EK, 2005, INT J INNOV COMPUT I, V1, P131

[5] Delay-dependent stochastic stability and H∞ analysis for time-delay systems with Markovian jumping parameters [J].

Cao, YY ;

Lam, J ;

Hu, LS .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2003, 340 (6-7) :423-434

[6]

Ding Q, 2010, INT J INNOV COMPUT I, V6, P995

[7] On delay-dependent passivity [J].

Fridman, E ;

Shaked, U .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (04) :664-669

[8]

Fu YM, 2004, I C CONT AUTOMAT ROB, P1757

[9] Passivity-based analysis of the minimal control synthesis algorithm [J].

Hodgson, SP ;

Stoten, DP .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 63 (01) :67-84

[10] Stability analysis for continuous systems with two additive time-varying delay components [J].

Lam, James ;

Gao, Huijun ;

Wang, Changhong .

SYSTEMS & CONTROL LETTERS, 2007, 56 (01) :16-24

← 1 2 3 →