Title :
H∞ control for delay systems: characterization with finite-dimensional operations
Author :
Kojima, Akira ; Ishijima, Shintaro
Author_Institution :
Tokyo Metropolitan Inst. of Technol., Japan
Abstract :
An H∞ problem is discussed for a system with delays in control. By employing completing the square argument of particular quadratic forms, it is clarified that the solvability and the solution are characterized with finite-dimensional operations. The check method of solvability requires the stabilizing solutions to matrix Riccati equations with the maximal solution to a transcendental equation. The H∞ control law is constructively given based on the solutions to matrix Riccati equations. A game theoretic interpretation is provided on the trade-off between the initial uncertainties and attenuating the disturbances
Keywords :
H∞ control; Riccati equations; delay systems; matrix algebra; robust control; H∞ control; completing the square argument; delay systems; finite-dimensional operations; game theoretic interpretation; matrix Riccati equations; quadratic forms; stabilizing solutions; transcendental equation; Control systems; Delay effects; Delay systems; Economic indicators; Game theory; Hilbert space; Riccati equations; State-space methods; Uncertainty;
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.1994.411132
