IEEE Transactions on Automatic Control, Vol.46, No.5, 771-775, 2001
Performance preserving controller reduction via additive perturbation of the closed-loop transfer function
In this note, a new H-infinity performance preserving controller order reduction method is proposed, Here performance preservation indicates that the H-infinity norm bound of the closed loop transfer function with reduced-order controller is not greater than the H-infinity norm bound of the closed loop transfer function with full order controller, We assume additive perturbations to the closed-loop transfer function and obtain a sufficient condition for performance preservation. Two kinds of useful weightings are derived, and the controller reduction problem is solved via a frequency weighted model reduction problem.
Keywords:controller reduction;model reduction