Title :
Evaluation of the infimal H∞ norm in continuous and discrete systems
Author :
Subrahmanyam, M.B.
Author_Institution :
US Naval Air Warfare Center, Warminster, PA, USA
Abstract :
The author presents a criterion for the evaluation of the infimal H∞ norm in both continuous- and discrete-time systems. The criterion consists of choosing the first positive value of a discrete set of values for which a certain two-point boundary value problem has a nontrivial solution. This characterization can be used to develop a fast efficient algorithm for the computation of the infimal H∞ norm. The problem formulation in the continuous case is very general in that time-varying systems are considered and nonzero initial and final conditions are incorporated into the performance index
Keywords :
boundary-value problems; discrete time systems; optimal control; time-varying systems; continuous systems; discrete systems; discrete-time systems; infimal H∞ norm; problem formulation; time-varying systems; two-point boundary value problem; Boundary value problems; H infinity control; Minimax techniques; Optimal control; Performance analysis; Time varying systems;
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.1992.371175
