Relaxed dissipative control of nonhomogeneous Markovian jump fuzzy systems via stochastic nonquadratic stabilization approach

Based on the stochastic nonquadratic stabilization approach, this paper proposes a method for designing dissipative controllers for continuous-time nonhomogeneous Markovian jump fuzzy systems such that performance enhancement and computational complexity reduction are simultaneously accomplished. Fi...

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Veröffentlicht in:Nonlinear analysis. Hybrid systems Jg. 38; S. 100915
Hauptverfasser: Nguyen, Thanh Binh, Kim, Sung Hyun
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.11.2020
Schlagworte:
Dissipative control
Nonhomogeneous Markovian jump fuzzy systems
Nonquadratic stabilization
Relaxation technique
Nonhomogeneous Markovian jump fuzzy systems
Dissipative control
Relaxation technique
Nonquadratic stabilization
ISSN:1751-570X
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Zusammenfassung:Based on the stochastic nonquadratic stabilization approach, this paper proposes a method for designing dissipative controllers for continuous-time nonhomogeneous Markovian jump fuzzy systems such that performance enhancement and computational complexity reduction are simultaneously accomplished. First, the underlying stabilization conditions are formulated in terms of parameterized matrix inequalities depending on fuzzy basis functions, as well as on their time derivatives, and on mode-transition rates. Then, using our relaxation techniques that can impose stricter constraints on time-varying parameters, the stabilization conditions are converted into linear matrix inequalities (LMIs) that are less conservative and have lower computational complexity. The validity of this approach is shown by two illustrative examples.
ISSN:1751-570X
DOI:10.1016/j.nahs.2020.100915