Stability condition for sampled data based control of linear continuous switched systems

  • Feng LIU*
  • , Y. D. SONG
  • *Corresponding author for this work

Research output: Journal PublicationsReview articleOther Review

68 Citations (Scopus)

Abstract

Most practical systems are continuous in nature but with discrete (sampled) feedback when digital control is utilized. This paper investigates the stabilization problem of switched linear continuous-time systems with sampled data based control. For both known and unknown arbitrary switching processes, on the basis of Lyapunov stability theory, a sufficient global exponential stability condition related to Dwell time and sampling period is established. For the latter case, on-line one-step adaptive estimation algorithm is derived and integrated with sampled feedback for control design. Validation and verification of the established result are conducted through cruise control of train systems. © 2011 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)787-797
Number of pages11
JournalSystems and Control Letters
Volume60
Issue number10
DOIs
Publication statusPublished - Oct 2011
Externally publishedYes

Funding

This work was supported in part by National Natural Science Foundation of China (Grant No. 60904029 , 60974052 ), Program for ChangJiang Scholars and Innovative Research Team in University ( IRT0949 ), State Key Laboratory ( RCS08ZT002 , 2009JBZ001 , and 2009RC008 ), and the Project Supported by Key Laboratory of Condition Monitoring and Control for Power Plant Equipment of North China Electric Power University . Finally, sincere appreciation is extended to the anonymous reviewers and the associate editor for their valuable comments and suggestions.

Keywords

  • Adaptive identification
  • Sampled data based control
  • Stabilization
  • Switched system

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