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- W2897056959 abstract "This paper investigates the robust <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=script>H</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> nonfragile control problem for a class of discrete-time hybrid systems based on piecewise affine models. The objective is to develop an admissible piecewise affine nonfragile controller such that the resulting closed-loop system is asymptotically stable with robust <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=script>H</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> performance <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>γ</mml:mi></mml:mrow></mml:math>. By employing a state-control augmentation methodology, some new sufficient conditions for the controller synthesis are formulated based on piecewise Lyapunov functions (PLFs). The controller gains can be obtained via solving a set of linear matrix inequalities. Simulation examples are finally presented to demonstrate the feasibility and effectiveness of the proposed approaches." @default.
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- W2897056959 date "2018-10-21" @default.
- W2897056959 modified "2023-10-15" @default.
- W2897056959 title "A New Robust Nonfragile Controller Design Scheme for a Class of Hybrid Systems through Piecewise Affine Models" @default.
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- W2897056959 doi "https://doi.org/10.1155/2018/1875610" @default.
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