Abstract:

To a class of plant,when the state and output matrixes are both perturbed,a methodology is proposed to design a dynamic output feedback controller based on the full order state observer.When considering the perturbation of the state matrix,via H ∞ control theory,a state feedback controller is designed to make the control system be of performance robustness.That is to design a state feedback matrix so that the H ∞ norm of the transfer function from w to z will be less than a specified value.To the perturbed plants,a full order state observer is designed to ensure that the performance of the full state feedback control system is recovered.The objective is to design an observer matrix so that the H ∞ norm of the closed loop transfer function be less than the same specified value in designing the state feed back controller.In this paper,the problem to design an observer matrix is simplified to be a standard H ∞ state feedback control problem under an assumption.

Key words: H &infin, contr ol;full state feedback;performance recover y;per formance robustness