Robustcontrol for switched systems with input delays: A sojourn-probability-dependent method

Engang Tian, Wai Keung Wong, Dong Yue

Research output: Journal article publicationJournal articleAcademic researchpeer-review

36 Citations (Scopus)


In this paper, a sojourn-probability-dependent method is proposed to investigate the robust∞control for a class of switched systems with input delays. The considered system has the following characteristics: (1) it is a switched system consisting of a set of subsystems; (2) sojourn probabilities (i.e. the probability of switched systems staying in each subsystem) are assumed to be known (or partly known) a prior; and (3) there are input delays and parameter uncertainties in each subsystem. By using the sojourn probability information, a new type of switched system model is built. By using the Lyapunov functional method, the robust mean square stability criteria are obtained for switched systems under two conditions: (A) all sojourn probabilities of the subsystems are known; (B) only partly sojourn probabilities are known. Then the robust∞controller feedback gains are derived by using the cone complement linearization method. An inverted pendulum system and a numerical example are given to demonstrate the effectiveness and applicability of the proposed method.
Original languageEnglish
Pages (from-to)22-35
Number of pages14
JournalInformation Sciences
Publication statusPublished - 1 Nov 2014


  • Robust mean square stability
  • Sojourn probability
  • Stochastic control
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Software
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

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