Autor:
Duan, Ruirui ; Li, Junmin ; Zhang, Yanni ; Yang, Ying ; Chen, Guopei
Współtwórca:
Korbicz, Józef - red. ; Uciński, Dariusz - red.
Tytuł:
Stability analysis and H[the sign of infinity] control of discrete T-S fuzzy hyperbolic systems
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
discrete T-S fuzzy hyperbolic model ; parallel distributed compensation (PDC) ; positive diagonally dominant (PDD) matrices ; robust stability
Abstract:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 26, number 1 (2016) ; kliknij tutaj, żeby przejść