A Discrete Integral Sliding Manifold for a Nonlinear System with Time Delay: An Event-Triggered Scheme

Yassine Benyazid (), Mohamed Fnadi and Ahmed Said Nouri
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Yassine Benyazid: Laboratoire d’Informatique Signal et Image de la Côte d’Opale (LISIC), University Littoral Côte d’Opale, UR 4491, F-62100 Calais, France
Mohamed Fnadi: Laboratoire d’Informatique Signal et Image de la Côte d’Opale (LISIC), University Littoral Côte d’Opale, UR 4491, F-62100 Calais, France
Ahmed Said Nouri: Research Laboratory of Numerical Control of Industrial Processes, National Engineering School of Gabes, University of Gabes, Gabes 6072, Tunisia

Mathematics, 2023, vol. 11, issue 10, 1-19

Abstract: This paper presents a new approach to integral sliding mode control for discrete nonlinear systems with time delay. The approach is based on an event-triggered scheme and is applied to Takagi–Sugeno fuzzy models. In the first step, a new integral sliding function is constructed, which avoids the limited assumptions of most existing fuzzy sliding mode control schemes. The design parameter matrices defining the sliding surface are obtained by solving linear matrix inequalities. In the second step, an event trigger-based integral sliding mode control protocol is developed to ensure the state trajectories of the Takagi–Sugeno fuzzy systems with time delays. Finally, the proposed strategies are evaluated through a simulation example to demonstrate their effectiveness.

Keywords: event-triggered control; integral sliding manifold; fuzzy system; time-varying delay; linear matrix inequalities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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