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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| Published in: | Nonlinear analysis. Hybrid systems Vol. 38; p. 100915 |
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| Format: | Journal Article |
| Language: | English |
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01.11.2020
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| ISSN: | 1751-570X |
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 100915 |
| Author | Nguyen, Thanh Binh Kim, Sung Hyun |
| Author_xml | – sequence: 1 givenname: Thanh Binh orcidid: 0000-0002-2888-9732 surname: Nguyen fullname: Nguyen, Thanh Binh – sequence: 2 givenname: Sung Hyun orcidid: 0000-0003-2495-7117 surname: Kim fullname: Kim, Sung Hyun email: shnkim@ulsan.ac.kr |
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| CitedBy_id | crossref_primary_10_3390_math10162917 crossref_primary_10_1016_j_jfranklin_2023_09_034 crossref_primary_10_3390_math10193620 crossref_primary_10_3390_math10122055 crossref_primary_10_1007_s11071_023_08490_y crossref_primary_10_1016_j_jfranklin_2022_09_032 crossref_primary_10_1016_j_nahs_2021_101080 crossref_primary_10_1016_j_ins_2022_06_041 crossref_primary_10_1016_j_nahs_2023_101382 |
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| Keywords | Nonhomogeneous Markovian jump fuzzy systems Dissipative control Relaxation technique Nonquadratic stabilization |
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| SubjectTerms | Dissipative control Nonhomogeneous Markovian jump fuzzy systems Nonquadratic stabilization Relaxation technique |
| Title | Relaxed dissipative control of nonhomogeneous Markovian jump fuzzy systems via stochastic nonquadratic stabilization approach |
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