A Zonotope-Based Event-Triggered Control Approach for Asynchronously Switched Positive Systems

This article addresses the zonotope-based L_∞ event-triggered control for switched positive systems with frequentasynchronism and interval uncertainties. In view of the advan-tages of zonotope in set description, we extend it to the set-basedcontrol, propose a novel zonotope-based control method, andfurther consider the typical model uncertainty and frequent asyn-chronism. First, by introducing a 1-norm-based event-triggeredscheme, the time-varying state zonotope is established based onthe closed-loop system and event-triggering conditions. Second,the dual convergence and L_∞ performance of the positive statezonotope is analyzed by defining suitable center and radiusfunctions for matched and mismatched intervals, respectively.Then, the permissible mode-dependent average dwell time signalsand asynchronous controllers are jointly designed to guaranteethe stability and L_∞ performance for the underlying system.Finally,