- Title
- Finite-time H-infinity filtering for nonlinear singular systems with nonhomogeneous Markov jumps
- Creator
- Wang, Jimin; Ma, Shuping; Zhang, Chenghui; Fu, Minyue
- Relation
- IEEE Transactions on Cybernetics Vol. 49, Issue 6, p. 2133-2143
- Publisher Link
- http://dx.doi.org/10.1109/TCYB.2018.2820139
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2019
- Description
- This paper addresses the finite-time H∞ filtering for a class of nonlinear singular nonhomogeneous Markov jump systems by T-S fuzzy approximation approach, where the transition probabilities (TPs) are time-varying and unknown. First, by considering a stochastic Lyapunov functional and rendering the time-varying TPs inside a polytope, a sufficient condition on singular stochastic H∞ finite-time boundedness (SSH∞FTB) for the filtering error systems is given. Then, by using the matrix inequality decoupling technique, a novel linear matrix inequality (LMI) condition on the existence of the finite-time H∞ fuzzy filter is presented. The fuzzy filter is developed in terms of LMIs ensuring the filtering error system is SSH∞FTB. Compared with the previous ones, the proposed design method in this paper has more freedom, leading to less conservative results. A tunnel diode circuit is provided to illustrate the effectiveness and advantage of the design approach proposed in this paper.
- Subject
- Markov processes; linear matrix inequalities; symmetric matrices; stability analysis; fuzzy systems; networked control systems
- Identifier
- http://hdl.handle.net/1959.13/1472344
- Identifier
- uon:48806
- Identifier
- ISSN:2168-2267
- Language
- eng
- Reviewed
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