Title :
Quadratic stabilization by H∞ state feedback controllers with adjustable parameters
Author :
Ushida, Shun ; Yamamot, Shigeru ; Kimura, Hidenori
Author_Institution :
Dept. of Syst. Eng., Osaka Univ., Japan
Abstract :
A quadratically stabilizing state feedback control law is derived based on the parametrization of H∞ controllers. The controller contains a contractive time-varying gain which can be used to adjust the responses of the resulting closed-loop system. A steepest descent tuning of Lyapunov functions is one of the methods adjusting the time-varying parameter. This tuning method needs a priori information of the plant uncertainty. In this paper, we introduce a method of estimating the plant uncertainty. This estimation enables us to construct the steepest descent tuning of Lyapunov functions
Keywords :
H∞ control; Lyapunov methods; closed loop systems; stability; state feedback; time-varying systems; tuning; uncertain systems; H∞ state feedback controllers; Lyapunov function; adjustable parameters; closed-loop system; contractive time-varying gain; plant uncertainty; quadratic stabilization; steepest descent tuning; Control systems; Lyapunov method; Physics; Q measurement; Robust control; State feedback; Systems engineering and theory; Transfer functions; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574622
