Mixed H and passivity-based resilient controller for nonhomogeneous Markov jump systems

M. Sathishkumar, R. Sakthivel, Faris Alzahrani, B. Kaviarasan, Yong Ren

Research output: Contribution to journalArticle

12 Citations (Scopus)


In this paper, the robust mixed H and passivity-based control problem is investigated for a class of discrete-time Markov jump nonlinear systems with uncertainties, quantization and time-varying transition probabilities. In addition, the time-varying transition probability matrices in the considered system are described by a polytope set. Further, the measurement size reduction technique is implemented which consists of two factors, namely, the logarithmic quantization and the measurement element selection scheme. In order to reflect the imprecision in controller implementation, the additive controller gain problem is considered. Based on the Lyapunov stability theory, a new set of conditions is derived such that the resulting closed-loop Markov jump system is stochastically stable with a prescribed mixed H and passivity performance index. Finally, the effectiveness of the proposed control scheme is illustrated by two numerical examples including an application example based on a DC motor device.

Original languageEnglish
Pages (from-to)86-99
Number of pages14
JournalNonlinear Analysis: Hybrid Systems
Publication statusPublished - 2019 Feb

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

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