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

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.

Event-Triggered Second-Order Sliding Mode Controller Design and Implementation

“…In work [49], the ET approach for first-order SMC controllers is analyzed in terms of the embedded system's computational complexity. The ET schemes for first-order SMC with uncertainty and delay are presented in [50]. Higher-order SMC controllers, such as STA with ET techniques, do not have much-reported design procedures and analysis.…”