Sliding mode control of Markovian jump systems with partly unknown transition probabilities

Nasibeh Zohrabi, Hamid Reza Momeni, Amir Hossein Abolmasoumi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

In this paper, the problems of stochastic stability and sliding mode control of a class of continuous-time Markovian jump systems with partly unknown transition probabilities are considered. The proposed approach is quite general and covers both cases in which transition probability rates are completely known and completely unknown. By the assistance of the free-connection weighting matrices, sufficient conditions guaranteeing the existence of linear switching surface and the stochastic stability of sliding mode dynamics are obtained in terms of linear matrix inequalities (LMIs). Then, a sliding mode controller is designed such that the state trajectories of the closed-loop system reach the desired sliding surface in a finite time and maintain there for all subsequent times. Both the sliding surface and sliding mode control law are obtained by means of LMI feasibility problems. Finally, a numerical example is given to show the potentials and effectiveness of the proposed method.

Original languageEnglish (US)
Title of host publicationIFAC Joint conference SSSC,FDA, TDS - 5th IFAC Symposium on System Structure and Control, SSSC 2013 - Proceedings
PublisherIFAC Secretariat
Pages947-952
Number of pages6
Edition2
ISBN (Print)9783902823250
DOIs
StatePublished - 2013
Event5th IFAC Symposium on System Structure and Control, SSSC 2013 - Grenoble, France
Duration: Feb 4 2013Feb 6 2013

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number2
Volume46
ISSN (Print)1474-6670

Conference

Conference5th IFAC Symposium on System Structure and Control, SSSC 2013
Country/TerritoryFrance
CityGrenoble
Period2/4/132/6/13

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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