Adaptive Variable Structure Control for Uncertain Linear Time-Invariant Delay Singular Systems

Bo Meng; Cun Chen Gao; Shu Hong Tang

doi:10.4028/www.scientific.net/AMR.433-440.3734

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 433-440Adaptive Variable Structure Control for Uncertain...

Adaptive Variable Structure Control for Uncertain Linear Time-Invariant Delay Singular Systems

Abstract:

This paper discusses the control problems of singular linear time-invariant delay systems with uncertainties. A new adaptive variable structure control strategy is given by Lyapunov stability theory. The invariance of sliding mode is proved in the circumstances of the external disturbance and parameter perturbation with matching conditions. Through memory and memoryless of the linear state feedback, the control strategy ensure that system reaches sliding mode in finite time and the closed-loop system is global asymptotic stable. Simulation results further show that the strategy is feasible and effective.

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Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

3734-3740

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.433-440.3734

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Online since:

January 2012

Authors:

Bo Meng, Cun Chen Gao, Shu Hong Tang

Keywords:

Adaptive Variable Structure Control, Singular System, Time-Invariant Delay

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References

[1] Dai L. Singular Control Systems[M]. Berlin: Springer-verlag, (1989).

Google Scholar

[2] Lewis F L. A survey of linear singular systems. Circuits. Syst. Signal Processing, 1986, 5: 3-36.

Google Scholar

[3] Choi H H. On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatching uncertainties[J]. Automatica, 1999, 35: 1707-1715.

DOI: 10.1016/s0005-1098(99)00081-3

Google Scholar

[4] Chan M L, Tao C W, Lee T T. Sliding mode controller for linear systems with mismatched uncertainties[J]. Journal of Franklin Institute, 2000, 337: 105-115.

DOI: 10.1016/s0016-0032(00)00011-9

Google Scholar

[5] Chou C H, Cheng C C. Design of adaptive variable structure controllers for perturbed large scale systems with time-delay interconnections[J]. Journal of Franklin Institute, 2001, 338: 35-46.

DOI: 10.1016/s0016-0032(00)00070-3

Google Scholar

[6] Chou C H, Cheng C C. Decentralized model following variable structure control for perturbed large scale systems with time-delay interconnections[C]. Proc. American Control Conf, 2001: 641-645.

DOI: 10.1109/acc.2000.878978

Google Scholar

[7] Yongqing, L, Xiangsheng, X. Theory and Application of Large-Scale Dynamic System (Volume 8)-Stability Stabilization and Control on Time-Delay Singular System [M](in Chinese), South China University of Technology Press, Guangzhou, (1998).

Google Scholar