Worst case control of uncertain jumping systems with multi-state and input delay information

In this paper, the problem of worst case (also called H ∞ ) Control for a class of uncertain systems with Markovian jump parameters and multiple delays in the state and input is investigated. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric u...

Full description

Saved in:
Bibliographic Details
Published in:Information sciences 2006-01, Vol.176 (2), p.186-200
Main Authors: Shi, Peng, Mahmoud, Magdi S., Yi, Jianqiang, Ismail, Abdulla
Format: Article
Language:English
Subjects:
[formula omitted] state feedback
Markovian jump parameters
Stochastic stability
Time-delay systems
Uncertain parameters
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, the problem of worst case (also called H ∞ ) Control for a class of uncertain systems with Markovian jump parameters and multiple delays in the state and input is investigated. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, time-varying and norm-bounded that appear in the state, input and delayed-state matrices. The time-delay factors are unknowns and time-varying with known bounds. Complete results for instantaneous and delayed state feedback control designs are developed which guarantee the weak-delay dependent stochastic stability with a prescribed H ∞ -performance. The solutions are provided in terms of a finite set of coupled linear matrix inequalities (LMIs). Application of the developed theory to a typical example has been presented.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2004.07.019