Elsevier

Applied Mathematical Modelling

Volume 65, January 2019, Pages 415-427
Applied Mathematical Modelling

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

https://doi.org/10.1016/j.apm.2018.08.012Get rights and content
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Highlights

  • 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.

Abstract

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.

Keywords

Fuzzy systems
Dissipative control
Sampled-data control
Looped function

Cited by (0)

This work was supported by the National Natural Science Foundation of China(61741308, 61672225, 61703153), the National Science Fund of Hunan Province (2015JJ5021), the Scientific Research Fund of Hunan Provincial Education Department (15B067,16C0475), and the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province.