Co-design of event generator and controller for event-triggered control system

This paper proposes the preliminary results on the co-design of event generator and controller for event-triggered control system. By applying a quadratic input-to-state stable Lyapunov function, a sufficient condition for the existence of the event-triggered controller and event generator is established using the linear matrix inequalities. We further present a sufficient condition for non-trivial inter-execution times. Using an inverted pendulum mechanism, the effectiveness of the proposed method is illustrated in contrast to a standard linear-quadratic regulator implemented in an event-triggered style.