Title :
A systematic procedure for designing non-diagonal weights to facilitate ℋ∞ loop shaping
Author :
Papageorgiou, George ; Glover, Keith
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Abstract :
The first step of the ℋ∞ loop shaping design procedure is to specify desired closed loop performance by shaping the singular values of the nominal plant with a pre- and/or a post-compensator. Designers usually choose diagonal weighting functions but it is not always possible to obtain the desired loop shape with diagonal weights. This paper develops a systematic procedure for designing nondiagonal pre- and post-compensators. Such nondiagonal weighting functions enable the designer to shape each singular value of the nominal plant separately. To illustrate the procedure an ℋ∞ loop shaping controller is designed for a plant whose singular values can not be shaped accurately using diagonal weights
Keywords :
H∞ control; closed loop systems; compensation; control system synthesis; robust control; ℋ∞ loop shaping design procedure; closed loop performance; nondiagonal weight design; post-compensator; pre-compensator; robust control; singular value shaping; Design engineering; Design methodology; Equations; Frequency; Open loop systems; Robust control; Robustness; Shape control; Shape measurement; Stability;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657081
