Title :
Synthesis of sector bounded LTI systems
Author_Institution :
Dept. of Control & Instrum. Eng., Chung-Ang Univ., South Korea
Abstract :
We consider the problem of an internally stabilizing linear time-invariant controller for a linear time-invariant plant such that a given closed loop transfer function is strictly sector bounded. We show that the standard H∞ control problem and the γ-positive real problem are special cases of the sector bounded control problem. Necessary and sufficient conditions for the existence of controllers are obtained. The strictly proper controllers are given in terms of solutions to AREs or ARIs
Keywords :
H∞ control; Riccati equations; closed loop systems; control system synthesis; linear systems; stability; transfer functions; γ-positive real problem; closed loop transfer function; internal stabilization; necessary and sufficient conditions; sector bounded LTI systems; standard H∞ control problem; Closed loop systems; Control system synthesis; Control systems; Instruments; Riccati equations; Robust control; Robust stability; Sufficient conditions; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657666
