Title :
Some transfer-function conditions for a desired maximum amplitude or exponential envelope of a closed-loop transient response
Author_Institution :
Dept. of Production Syst. Eng., Oita Univ., Japan
Abstract :
In this paper, we give some sufficient conditions for a desired maximum amplitude and exponentially decaying envelope, based on the Hille-Yosida theorem in functional analysis and the Kreiss matrix theorem in numerical analysis. We reduce them to the conditions in terms of matrix inequalities using the bounded real lemma
Keywords :
closed loop systems; control system analysis; functional analysis; matrix algebra; numerical analysis; stability; transfer functions; transient response; Hille-Yosida theorem; Kreiss matrix theorem; bounded real lemma; closed-loop transient response; exponential envelope; exponentially decaying envelope; functional analysis; matrix inequalities; maximum amplitude; numerical analysis; sufficient conditions; transfer-function conditions; Functional analysis; Linear matrix inequalities; Numerical analysis; Production systems; Riccati equations; Sufficient conditions; Systems engineering and theory; Transfer functions; Transient response; Upper bound;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411550
