Robust (Q,S,R)−α-dissipative event-triggered sliding mode control of discrete T-S fuzzy descriptor systems with partial unmeasurable premise variables

Xuchen Lu and Junchao Ren

Applied Mathematics and Computation, 2023, vol. 451, issue C

Abstract: In this paper, the admissibility analysis and dissipative sliding mode control (SMC) based on event-triggered mechanism (ETM) are studied for discrete T-S fuzzy descriptor systems (D-TSFDS). The problem of partial unmeasurable premise variables in D-TSFDS is dealt with by nonlinear dynamic programming. Based on ETM, a sliding mode surface based on measurable premise variables is proposed for the first time. Since the delay between the sensor and the controller in ETM, a Lyapunov-Krasovskii function is used to acquire the sufficient conditions for the closed-loop system to be admissible with dissipative performance. A new SMC law is given to ensure the reachability conation. The simulation results demonstrate the effectiveness of the proposed method.

Keywords: Event-triggered mechanism; Sliding mode control; Dissipative control; T-S fuzzy system; Discrete descriptor system; Partial unmeasurable premise variables (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001790

DOI: 10.1016/j.amc.2023.128010

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