Title :
Parameter-dependent Stability and Robustness Analysis for Quantization System with Time-delay
Author :
Yi-wei, Feng ; Zhong-ming, Liu ; Xiang, Zhu ; Chao-qun, Zhu
Author_Institution :
Coll. of Electr. & Inf. Eng., LanZhou Univ. of Technol., Lanzhou
Abstract :
The paper devotes to the parameter-dependent stability and robustness analysis of quantization system with time-delay. The common aim of this note is to demonstrate that an unified study of quantization and delay effects in an uncertain system is possible by merging the quantized control law and a new Lyapunov-Krasovskii functional. A new parameter-dependent stability criterion is derived in terms of LMI (linear matrix inequality) which can be easily solved. Moreover, a sufficient condition for the existence of a guaranteed cost controller for NCSs is also presented by a set of LMIs. A simulation result is given to illustrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; control system analysis; delay systems; linear matrix inequalities; uncertain systems; Lyapunov-Krasovskii functional; guaranteed cost controller; linear matrix inequality; parameter-dependent stability; parameter-dependent stability criterion; quantization system; robustness analysis; time-delay; uncertain system; Control systems; Delay effects; Linear matrix inequalities; Merging; Quantization; Robust stability; Stability analysis; Stability criteria; Sufficient conditions; Uncertain systems; Asymptotic stability; delay; linear matrix inequality(LMI); quantization; uncertainty;
Conference_Titel :
Knowledge Acquisition and Modeling Workshop, 2008. KAM Workshop 2008. IEEE International Symposium on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-3530-2
Electronic_ISBN :
978-1-4244-3531-9
DOI :
10.1109/KAMW.2008.4810523