Control approach based on invariant ellipsoid set for piecewise affine system with time delay

In this paper, a control approach is proposed for the hybrid systems based on piecewise affine (PWA) model with time delay. The considered systems is described as ellipsoid which solved in terms of linear matrix inequalities (LMIs). An additional terminal ellipsoid is introduced to ensure the states converging to the equilibrium faster, and the time-delay PWA system is stabilized in Lyapunov theory. The control law is obtained by convex optimization involving LMIs. The simulation results verify the effectiveness of the proposed method.