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

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