Title :
Brief paper: exponential stabilisation of non-standard nonlinear singularly perturbed system
Author :
Park, Kwon-Shik ; Lim, J.-T.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Korea Adv. Inst. of Sci. & Technol., Daejeon, South Korea
fDate :
5/1/2010 12:00:00 AM
Abstract :
The authors investigate the exponential stability of non-standard nonlinear singularly perturbed system via the Lyapunov stability technique. Using two standard singularly perturbed systems separated from the non-standard system, the authors analyse the exponential stability of the non-standard nonlinear singularly perturbed system. Based on the stability analysis for the general singularly perturbed system with non-separate slow-fast dynamics, the stabilising controller is designed.
Keywords :
Lyapunov matrix equations; asymptotic stability; control system synthesis; nonlinear control systems; singularly perturbed systems; Lyapunov stability technique; exponential stability analysis; nonseparate slow fast dynamics; nonstandard nonlinear singularly perturbed system; nonstandard system; stabilising controller design;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2009.0081
