Title :
Performance-preserving frequency weighted controller approximation: a coprime factorisation approach
Author :
Goddard, P.J. ; Glover, K.
Author_Institution :
Dept. of Eng., Cambridge Univ.
Abstract :
Given a stabilising controller which satisfies a prespecified H ∞ performance bound on the closed loop, we derive sufficient conditions for reduced order controllers to be stabilising and satisfy the same performance bound. The conditions are expressed as norm bounds on the frequency weighted error between coprime factor representations of the given controller and the reduced order controller. Reduced order controllers are then designed by interpreting the sufficient conditions as frequency weighted model reduction problems
Keywords :
H∞ control; closed loop systems; matrix algebra; reduced order systems; robust control; transfer functions; H∞ performance bound; closed loop systems; coprime factor representations; coprime factorisation; frequency weighted error; frequency weighted model reduction; reduced order controllers; stabilising controller; sufficient condition; Australia; Design engineering; Error correction; Frequency; H infinity control; Reduced order systems; Riccati equations; Sufficient conditions; Transfer functions; Weight control;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411391
