Title :
Positive real analysis on the uncertain discrete-time singular system
Author :
Li, Yang ; Yingchao, Wang ; Peiyong, Liu
Author_Institution :
Sch. of Math., Liaoning Univ., Shenyang, China
Abstract :
Based on the generalized quadratic stability and ESPR of general discrete-time singular system, the sufficient and necessary condition of quadratic admissibility and SPR of uncertain discrete-time singular system is proposed. By introducing augmented system, the research is carried out by transforming the PR analysis and design of uncertain discrete-time singular system to certain discrete-time singular system. At last, comprehensive method of designing the state feedback robust SPR controller of the uncertain discrete-time singular system is proposed, and then the correctness of the method is proved through numerical examples.
Keywords :
discrete time systems; numerical analysis; robust control; state feedback; uncertain systems; ESPR; augmented system; generalized quadratic stability; positive real analysis; state feedback robust SPR controller; uncertain discrete-time singular system; Closed loop systems; Equations; Robustness; State feedback; Symmetric matrices; Uncertain systems; Uncertainty; Discrete-time singular system; Extended Strict Positive Real (ESPR); Generalized quadratic stability; Positive real (PR); State feedback robust strict positive real controller;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
