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

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-int...

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Bibliographic Details
Main Authors: Zeng, H., Teo, Kok Lay, He, Y., Wang, W.
Format: Journal Article
Published: Elsevier 2019
Online Access:http://hdl.handle.net/20.500.11937/72619
Description
Summary: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)-?-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.