Adaptive model-based event-triggered control for linear systems

This paper investigates the problem to design the adaptive model-based event-triggered control for linear systems. To deal with the parameter differences between the plant and the model, an adaptation mechanism is introduced to the model-based event-triggered control systems. Based on the separation property of model-based event-triggered control, the problem is divided into two independent parts, i.e., (i) the design of controller gain matrix and event condition, and (ii) the design of adaptation laws. Then the methods are proposed to solve these two independent parts, which guarantee both the asymptotic stability of systems and the reduction of parameter differences between the plant and the model. Finally, a numerical example is provided to illustrate the efficiency and feasibility of the obtained results.