Title :
Exact solution to the non-standard H∞ problem
Author :
Djouadi, Mohamed Seddik
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
Abstract :
The non-standard H∞ problem μ0=inf Q∈H∞|||W(1-P0Q)|+|VP0 Q|||∞ plays a fundamental role in robust feedback control. Here we develop a new operator theoretic framework to characterize explicitly its solution. We also establish absolute continuity of a dual extremal measure showing that the optimal performance/controller satisfy an extremal identity, which provides a test of optimality. Moreover, via the Banach space duality theory we show existence of a maximal vector leading to an explicit formula for the optimal controller
Keywords :
Banach spaces; H∞ control; control system analysis; duality (mathematics); feedback; optimisation; robust control; Banach space; H∞ control; duality; feedback; maximal vector; optimal control; optimisation; robust control; Artificial intelligence; Attenuation; Closed-form solution; Electronic switching systems; Feedback; Optimal control; Robustness; Testing;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757889