Piecewise Linear Control for Continuous-Time Markov Jump PWA Systems Based on Adaptive Fault-Tolerant Strategy

Nuo Xu, Yanzheng Zhu, Xinkai Chen, Ting Yang

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


This paper investigates the issue of piecewise-linear (PWL) control design for a class of continuous-time Markov jump piecewise-affine (PWA) systems based on adaptive fault-tolerant strategy. To solve the problem of switching path selection between different system modes and PWA regions, a new switching path selection (SPS) algorithm is proposed. Moreover, an efficient adaptive law is developed to ensure that the system remains stochastic stable even with actuator faults. By employing above methods and constructing the piecewise Lyapunov functional, a sufficient condition in the form of linear matrix inequalities (LMIs) can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 40th Chinese Control Conference, CCC 2021
EditorsChen Peng, Jian Sun
PublisherIEEE Computer Society
Number of pages5
ISBN (Electronic)9789881563804
Publication statusPublished - 2021 Jul 26
Event40th Chinese Control Conference, CCC 2021 - Shanghai, China
Duration: 2021 Jul 262021 Jul 28

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927


Conference40th Chinese Control Conference, CCC 2021


  • Markov jump piecewise-affine systems
  • actuator faults
  • adaptive fault-tolerant strategy
  • piecewise-linear control

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modelling and Simulation


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