Event-triggered Control for Switched Affine Linear Systems

Event-triggered control problem for switched affine linear systems with a state-dependent switching law is addressed in this paper. By constructing a piecewise differential Lyapunov function with time-scheduled matrices, an event-triggered scheme and a switching signal are proposed. The switching signal depends on the state of the trigger instant. A sufficient condition is developed to ensure that the switched affine system exponentially convergences to a small neighborhood of the desired equilibrium point. The proposed result is then generated to a disturbance attenuation performance analysis. The results are presented in the form of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the effectiveness of the proposed results.