H∞ Control for uncertain systems under time domain constraints

This work deals with H∞design for continuous-time linear systems subject to parameter uncertainty and state, control and output constraints. The H∞, control problem by dynamic output feedback is considered for systems under polytopic uncertainties. The designed controller can be of reduced or full order. The approach is based on the existence of an ellipsoidal positively (D,R)-invariant set, generated by quadratic Lyapunov function, contained in the system´s domain of linearity. Using LMI, a hybrid genetic algorithm is proposed for solving this constrained H∞robust control problem.