STATIC OUTPUT FEEDBACK CONTROLLER FOR CONTINUOUS-TIME FUZZY SYSTEMS

Redouane Chaibi , Tissir El Houssaine , Abdelaziz Hmamed , El Mostafa El Adel (1, 2) , Mustapha Ouladsine (2)

1 AMU - Aix Marseille Université
2 PECASE - Pronostic-Diagnostic Et CommAnde : Santé et Energie

This paper will focus on static output feedback (SOF) control for continuous time Takagi-Sugeno (T-S) fuzzy systems. Based on the use of the concept of decay rate in the quadratic Lyapunov function, sufficient conditions for designing fuzzy SOF control are given in terms of linear matrix inequalities (LMIs). Moreover, the proposed method overcomes the drawback of the iterative algorithms based on LMI approach, and does not need any equality constraints; in addition, it can provide less conservative results. In the end, numerical and practical examples are given to demonstrate the effectiveness of the proposed method.

Keywords: Linear matrix inequalities; Takagi-Sugeno fuzzy models; Static output feed-back

Domains: Computer Science [cs]; Automatic Control Engineering

Redouane Chaibi, Tissir El Houssaine, Abdelaziz Hmamed, El Mostafa El Adel, Mustapha Ouladsine. STATIC OUTPUT FEEDBACK CONTROLLER FOR CONTINUOUS-TIME FUZZY SYSTEMS. International Journal of Innovative Computing, Information and Control, 2019, 15 (4). ⟨hal-02293347⟩