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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Vydáno v:	Nonlinear analysis. Hybrid systems Ročník 38; s. 100915
Hlavní autoři:	Nguyen, Thanh Binh, Kim, Sung Hyun
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.11.2020
Témata:	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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Popis
Shrnutí:	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