Time-varying filter design for semi-Markov jump linear systems with intermittent transmission

Ting Yang, Lixian Zhang, Victor Sreeram, Alessandro N. Vargas, Tasawar Hayat, Bashir Ahmad

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


This paper focuses on the filter design problem for semi-Markov jump linear systems. The system outputs are transmitted to the filter via networks, and it is assumed that the transmission is imperfect with data packet dropouts subject to the Bernoulli random binary distribution. A σ-error mean square stability criterion is first derived for the underlying systems. On the basis of the criterion, the H performance analysis is conducted. By constructing a time-varying Lyapunov function, a time-varying H filter scheme is investigated. Because the presented approach can cover the mode-dependent and mode-independent time-invariant H filter schemes as special cases, the conservatism of the derived results is less than those of the time-invariant filter schemes. An active suspension system with activator uncertainties is lastly presented to illustrate the effectiveness and feasibility of the derived theoretical results.

Original languageEnglish
Pages (from-to)4035-4049
Number of pages15
JournalInternational Journal of Robust and Nonlinear Control
Issue number17
Publication statusPublished - 25 Nov 2017


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