Title :
H∞ control problem with general boundary constraints
Author :
Hara, Shinji ; Sugie, Toshiharu
Author_Institution :
Dept. of Control Eng., Tokyo Inst. of Technol., Japan
Abstract :
Necessary and sufficient conditions are derived for the existence of a stabilizing controller such that a specified closed-loop transfer function Ger(s) has H∞ norm less than one, and such that Ger(s ) satisfies generalized boundary constraints on the jω-axis (including infinity). The result is derived for the four-block control problem. For the one-block problem the result is extended to the case in which the plant has jω-axis poles/zeros
Keywords :
boundary-value problems; closed loop systems; control system synthesis; optimal control; stability criteria; transfer functions; H∞ control problem; H∞ norm; closed-loop transfer function; four-block control problem; general boundary constraints; jω-axis poles; jω-axis zeros; necessary and sufficient conditions; one-block problem; stabilizing controller; Constraint theory; H infinity control; Manufacturing; Poles and zeros;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70257
