Sampled-data-based dissipative control of T-S fuzzy systems

• Published in: Applied Mathematical Modelling Vol. 65; pp. 415 - 427
• Main Authors: Zeng, Hong-Bing, Teo, Kok Lay, He, Yong, Wang, Wei
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.01.2019; Elsevier BV
• Subjects: Applied mathematics; Control systems; Data base management systems; Dissipative control; Fuzzy control; Fuzzy sets; Fuzzy systems; Looped function; Nonlinear systems; Sampled-data control; Sampling; Sampled-data control; Dissipative control; Looped function; Fuzzy systems
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2018.08.012

•The problem of sampled-data-based dissipative control of T-S fuzzy systems is investigated.•A novel complete sampling-interval-dependent looped function is proposed•A scheme to design desired sampled-data controller is developed.•Two examples are solved so as to demonstrate the effectiveness of the proposed approach. This paper investigates the problem of sampled-data-based dissipative control of Takagi–Sugeno (T-S) fuzzy systems. The sampling period is assumed to be varying within an interval. By making full use of realistic information about the whole sampling interval, we propose a novel complete sampling-interval-dependent looped function, which depends not only on the interval from x(t) to x(tk) but also on the interval from x(t) to x(tk+1). Based on this function, a sufficient condition is established, ensuring the considered system strictly (Q,S,R)−γ-dissipative. Furthermore, a approach to design desired sampled-data controllers is proposed. It is applied to solve the problems of a truck-trailer and an inverted pendulum. From the results obtained, we see that this approach is highly effective.