Analysis of robust stability of variable structure control in frequency domain

Authors:
Chingyei Chung;H. I. Chin;Shou-Yen Chao;M. F. Lu
Affiliations:
Department of Electronic Engineering, Ming Shin University of Science and Technology, Taiwan, R.O.C.;Department of Electronic Engineering, Ming Shin University of Science and Technology, Taiwan, R.O.C.;Department of Electronic Engineering, Ming Shin University of Science and Technology, Taiwan, R.O.C.;Department of Electronic Engineering, Ming Shin University of Science and Technology, Taiwan, R.O.C.
Venue:
ISTASC'10 Proceedings of the 10th WSEAS international conference on Systems theory and scientific computation
Year:
2010

Citing 3
Cited 0

Stable, robust tracking by sliding mode control

Systems & Control Letters
Robust and optimal control

Robust and optimal control
Constructing discontinuity surfaces for variable structure systems: a Lyapunov approach

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

Conventionally, the variable structure control is investigated in the time domain. However, this paper explore the properties of robust stability for variable structure control in frequency domain. Here, it can be shown that the variable structure control can be transformed into a Lur'e problem. If the uncertainties of system and input matrices satisfy the "matching conditions", then the zero dynamics of sliding surface will not changed; For robust stability, it can be shown that from the frequency domain point of view, the variable structure control possesses 90° phase margin and infinity gain margin. and it reveals superior robust properties. Finally, according to circle criterion, a formula is presented that with suitable boundary layer, the variable structure control can achieve absolute stability of the overall system.