Title :
Optimal constant scaling matrix for H∞ control and μ-synthesis-state feedback case
Author_Institution :
Div. of Mach. Design Eng., Hiroshima Univ., Japan
Abstract :
A property of a constant scaling matrix for μ-synthesis is clarified for a state feedback case. The property of a set of constant scaling matrices for which the H∞ norm can be made less than γ by state feedback is examined. The convexity of the set and the uniqueness of the optimal value are shown. An algorithm for determining the optimal value is shown for the case of two uncertainties, and a novel DK-iteration is proposed based on the algorithm
Keywords :
control system synthesis; feedback; iterative methods; matrix algebra; optimal control; DK-iteration; H∞ control; constant scaling matrix; control system synthesis; convexity; mu -synthesis; optimal control; state feedback; uncertainties; Computer aided software engineering; Control theory; Design engineering; H infinity control; Optimal control; Riccati equations; Robustness; State feedback; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371747
