Title :
A novel approach to stability analysis of multivariable Lur´e systems
Author :
Lee, Chun-Mo ; Juang, Jyh-Ching
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
29 July-1 Aug. 2005
Abstract :
A new approach via the real structured singular value analysis is proposed to test for the absolute stability of multivariable Lur´e systems. The approach presented in this paper holds for any sector-bounded, slope-restricted or secant-restricted nonlinearities commonly encountered in Lur´e systems. In addition, not only does it yield sharp stability bound, but also it removes some essential assumptions made in other existing results. Moreover, our algorithm can be easily and systematically extended to some more involved configurations, such as a Lur´e type system involved in two or more nonlinearities in different locations, or a multilayer recurrent neural network.
Keywords :
control nonlinearities; control system analysis; multivariable control systems; nonlinear control systems; recurrent neural nets; stability; multilayer recurrent neural network; multivariable Lur´e systems; secant-restricted nonlinearities; sector-bounded nonlinearities; singular value analysis; slope-restricted nonlinearities; stability analysis; Linear systems; Multi-layer neural network; Neurofeedback; Recurrent neural networks; Robust stability; Stability analysis; Stability criteria; Testing; Uncertain systems; Uncertainty;
Conference_Titel :
Mechatronics and Automation, 2005 IEEE International Conference
Print_ISBN :
0-7803-9044-X
DOI :
10.1109/ICMA.2005.1626547
