Title :
The four block problem for distributed systems
Author :
Foias, Ciprian ; Tannebaum, A.
Author_Institution :
Dept. of Math., Indiana Univ., Bloomington, IN, USA
Abstract :
A study is made of the singular values of the four-block operator, which appears naturally in many H∞ control problems. Following the framework of the monograph of B.A. Francis (1987), almost all such robust design problems can be formulated in terms of the spectral properties of such an operator. This includes the problems of sensitivity and mixed-sensitivity minimization, model matching, and certain tracking problems. The authors´ techniques give the optimal solution to this problem, which is valid for a large class of distributed systems
Keywords :
control system synthesis; distributed parameter systems; optimal control; sensitivity analysis; H∞ control; distributed systems; four-block operator; mixed-sensitivity minimization; model matching; optimal control; spectral properties; Hydrogen; Mathematics; Robustness;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194462
