Title :
Stability analysis of dithered nonlinear singularly perturbed systems with time delays
Author :
Feng-Hsiag Hsiao ; Jiing-Dong Hwang ; Shing-Tai Pan ; Lin-Goei Hsiau
Author_Institution :
Dept. of Electr. Eng., Yuan-Ze Inst. of Technol., Chungli, Taiwan
Abstract :
A dither is a high frequency signal introduced into a nonlinear singular perturbed system, containing multiple noncommensurate time delays, in order to improve its performance. Stability of nonlinear singularly perturbed delay systems with a dither is analyzed by deriving its dithered reduced-order model and using the relaxed method to analyze stability of the dithered reduced-order model when the frequency of dither is high-enough. Moreover, stability of the relaxed model would imply stability in finite time of the dithered nonlinear singularly perturbed delay systems, provided the singular perturbation parameter is sufficiently small.<>
Keywords :
control system analysis; delays; nonlinear systems; singularly perturbed systems; stability; dithered nonlinear singularly perturbed systems; dithered reduced-order model; high-frequency signal; multiple noncommensurate time delays; stability analysis; time delays; Business; Control systems; Delay effects; Delay systems; Difference equations; Frequency; Nonlinear control systems; Nonlinear dynamical systems; Performance analysis; Stability analysis;
Conference_Titel :
TENCON '93. Proceedings. Computer, Communication, Control and Power Engineering.1993 IEEE Region 10 Conference on
Conference_Location :
Beijing, China
Print_ISBN :
0-7803-1233-3
DOI :
10.1109/TENCON.1993.320406