H ∞ state-feedback control for saturated 2-D Roesser systems: the event-triggered case

Abstract

This work discusses the state-feedback control issue for a class of state saturated two-dimensional (2-D) Roesser systems under the event-triggered mechanism. Here, the state saturation is considered to cater the practical situation. First, an event-triggered strategy is exploited to make use of resources rationally in the communication network with finite capacity. Based on the Lyapunov method, the sufficient criterion is presented to achieve the desired performance of the corresponding closed-loop saturated 2-D system and the existence of event-triggered state-feedback (ET-SF) controller is ensured. Particularly, a positive scalar is introduced to cope with the state saturation term. With the aid of sufficient criterion and cone complementary linearisation (CCL) algorithm, the design problem of ET-SF controller can further be transformed into seeking the feasible solution to linear matrix inequalities. Eventually, a simulation example is implemented to reveal the usefulness of the presented control scheme.