Korbicz, Józef - red. ; Uciński, Dariusz - red.
This paper focuses on the problem of constraint control for a class of discrete-time nonlinear systems. Firstly, a new discrete T-S fuzzy hyperbolic model is proposed to represent a class of discrete-time nonlinear systems. By means of the parallel distributed compensation (PDC) method, a novel asymptotic stabilizing control law with the "soft" constraint property is designed. ; The main advantage is that the proposed control method may achieve a small control amplitude. Secondly, for an uncertain discrete T-S fuzzy hyperbolic system with external disturbances, by the proposed control method, the robust stability and H[the sign of infinity] performance are developed by using a Lyapunov function, and some sufficient conditions are established through seeking feasible solutions of some linear matrix inequalities (LMIs) to obtain several positive diagonally dominant (PDD) matrices. ; Finally, the validity and feasibility of the proposed schemes are demonstrated by a numerical example and a Van de Vusse one, and some comparisons of the discrete T-S fuzzy hyperbolic model with the discrete T-S fuzzy linear one are also given to illustrate the advantage of our approach.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 26, number 1 (2016) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
May 9, 2024
May 9, 2024
8
https://zbc.uz.zgora.pl/publication/88946
Edition name | Date |
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Stability analysis and H[the sign of infinity] control of discrete T-S fuzzy hyperbolic systems | May 9, 2024 |
Saadni, Mohammed Salah Chaabane, Mohammed Mehdi, Driss Korbicz, Józef - red. Uciński, Dariusz - red.
Galicki, Mirosław Jurczak, Paweł - red.
Busłowicz, Mikołaj Korbicz, Józef - red. Uciński, Dariusz - red.
Filipovic, Vojislav Korbicz, Józef - red. Uciński, Dariusz - red.
Rauh, Andreas Minisini, Johanna Hofer, Eberhard P. Rauh, Andreas - ed. Auer, Ekaterina - ed. Hofer,Eberhard P. - ed. Luther, Wolfram - ed.
Li, Jiangrong Li, Junmin Xia, Zhile Korbicz, Józef - red. Uciński, Dariusz - red.
Assawinchaichote, Wudhichai Korbicz, Józef - red. Uciński, Dariusz - red.