Title :
Computing H∞-norm of discrete-time periodic systems — A quadratically convergent algorithm
Author :
Sreedhar, J. ; Van Dooren, Paul ; Bamieh, Bassam
Author_Institution :
Dept. of Electr. Comput. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
Abstract :
We study the l2-induced norm, or H∞-norm, of discrete-time periodically time varying (PTV) systems and propose a quadratically convergent algorithm to compute it. Our method involves numerically stable computations (periodic Schur decomposition) and works even for the descriptor case. This work has connections to stability radii problems. Among other things, we clarify the relationship between various TI representations of a PTV system.
Keywords :
H∞ control; discrete time systems; periodic control; stability; time-varying systems; H∞-norm; PTV system; TI representations; discrete-time periodically time varying systems; l2-induced norm; numerically stable computations; periodic Schur decomposition; quadratically convergent algorithm; stability radii problems; Electronic mail; Facsimile; Linear systems; Manganese; Standards; Time-varying systems; Transfer functions; Discrete time; Linear systems; Numerical methods;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
