Finite-time mixed H and passive filtering for Takagi–Sugeno fuzzy nonhomogeneous Markovian jump systems

M. Sathishkumar, R. Sakthivel, O. M. Kwon, B. Kaviarasan

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)


This paper is concerned with the finite-time mixed H and passivity performance analysis and filter design for a class of uncertain nonlinear discrete-time Markovian jump systems (MJSs) described by Takagi–Sugeno fuzzy model with nonhomogeneous jump processes. In this paper, the proposed MJSs fuzzy model is formulated with norm-bounded parameter uncertainties and time-varying jump transition probability matrices. In particular, the time-varying transition probability matrices are expressed in respect of a polytope. By constructing a suitable Lyapunov functional, a new set of sufficient conditions is derived in the form of linear matrix inequalities (LMIs) to ensure that the filtering error system is robustly stochastically finite-time bounded and a prescribed mixed H and passive performance index is achieved. Moreover, the robust mixed H and passivity filter design gain matrices can be computed from the obtained LMIs. Furthermore, the developed results unify H and passive filtering problems in a single framework. Finally, two numerical examples including an application-oriented example are provided to demonstrate the effectiveness of the proposed filter design technique.

Original languageEnglish
Pages (from-to)1416-1427
Number of pages12
JournalInternational Journal of Systems Science
Issue number7
Publication statusPublished - 2017 May 19

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications


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