Improved Event-Triggered Stabilization for Discrete-Time Systems with Unsymmetrical Saturated Control

In this paper, a controller design for discrete-time systems with unsymmetrical actuator saturation is presented with the utilizing of an improved event-triggered condition. As a complex nonlinearity, unsymmetrical actuator saturation exists in a large amount of systems, which is more general in practice. The stability of the closed-loop system may be destroyed by the constraint of saturation. Event-triggered control has been proposed to reduce the communication load. An event-triggered condition is designed by the involvement of the positive and negative saturation levels, which has higher degrees of freedom than general relative triggering condition. The contractive invariant set for the underlying system is estimated as the stable region, which is determined by solving an optimization problem. In the final section of the paper, a simulation example is given to illustrate the results.