Abstract
Synthesis and design of output variable structure controller for time-invariant linear time-delay singular system are studied. In the case that the system is regular and the system index is one, switching function with integral compensator and variable structure controller are designed, which guarantee that the sliding mode is asymptotically stable and the solution trajectory of the system arrives at the switching manifold in limited time. The design method is applicable to the systems which can be regularized. Finally, a numerical example is given to demonstrate effectiveness and simplicity of the design method.
Similar content being viewed by others
References
Andrea Balluchi and Antonio Bichi, Necessary and sufficient condition for robust perfect tracking under variable structure control, International Journal of Robust and Nonlinear Control, 2003, 13(1): 141–151.
M. Letizia Corradini, T Leo, and G Orlando, Experimental testing of a discrete-time sliding mode controller for trajectory tracking of a wheeled mobile robot in the presence of skidding effects, Journal of Robotics Systems, 2002, 19(4): 177–188.
A J Healey and D Lienard, Multivariable sliding mode control for autonomous diving and steering of unmanned underwater vehicles, IEEE Journal of Oceanic Engineering, 1993, 18(3):327–339.
Cunchen Gao, Fushun Yuan, and Huimin Xiao, Time-delay Variable Structure Control (in Chinese), Science Press, Beijing, 2004.
Z. H. Guan, J. Yao, and David J. Hill, Robust H infinity control of singular-impulsive systems with uncertain perturbations, IEEE Trans. on Circuits and Systems, II, 2005, 52(6): 293–298.
Z. H. Guan, C. W. Chan, A. Y. T. Leung, and G. Chen, Robust stabilization of singular impulsive-delayed systems with nonlinear perturbation, IEEE Trans. on Circuits and Systems, I, 2001, 48(8): 1011–1019.
Yongqing Liu and Xiangcai Wen, Theory and Application of Large-scale Dynamic System (Volume 6)-Variable Structure Control for Singular System (in Chinese), South China University of Technology Press, Guangzhou, 1997.
Yongqing Liu and Xiangsheng Xie, Theory and Application of Large-scale Dynamic System (Volume 8)-Stability Stabilization and Control on Time-delay Singular System (in Chinese), South China University of Technology Press, Guangzhou, 1998.
Liyi Dai, Sigular Control Systems, Lecture notes in control and information science, Springer-verlag, Berlin, 1989.
Y. Q. Liu and X. S. Xie, On problem of stablization using output feedback for linear composite singular systems with time delay, in Proceeding of IFAC 96 Trienial world congress, 1996, 1: 73–78.
A. Ailon, On the design of output feedback for finite and infinite pole assignment in singular systems with application to the control problem of constrained robots, Circuit Systems & Signal Processing, 1994, 13: 525–544.
V. Lovass-Nagy, D. L. Powers, R. J. Schilling, On regularizing descriptor systems by output feedback, IEEE Trans. Automat. Contr., 1994, 39: 1507–1509.
A. Bunse-Gerster, V. Mehrmman, and N. Nichols, Regularization of descriptor systems by output feedback, IEEE Trans. Automat. Contr., 1994, 39: 1742–1748.
Author information
Authors and Affiliations
Corresponding author
Additional information
The project is supported by National Nature Science Foundation of China under Grant No. 60574005.
Rights and permissions
About this article
Cite this article
Guo, J., Gao, C. Output Variable Structure Control for Time-Invariant Linear Time-Delay Singular System. Jrl Syst Sci & Complex 20, 454–460 (2007). https://doi.org/10.1007/s11424-007-9041-2
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11424-007-9041-2