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TECHNICAL BRIEFS

Sliding Mode Control for Nonlinear Systems with Output Delay Via Method of Stable System Center*

[+] Author and Article Information
Yuri B. Shtessel

Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, AL e-mail: shtessel@ece.uah.edu

Alan S. I. Zinober

Department of Applied Mathematics, University of Sheffield, Sheffield, UK e-mail: a.zinober@sheffield.ac.uk

Ilia A. Shkolnikov

Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, AL

J. Dyn. Sys., Meas., Control 125(2), 253-257 (Jun 04, 2003) (5 pages) doi:10.1115/1.1570855 History: Received April 01, 2002; Revised December 01, 2002; Online June 04, 2003
Copyright © 2003 by ASME
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References

Choi,  S. B., and Hedrick,  J. K., 1996, “Robust Throttle Control of Automotive Engines,” ASME J. Dyn. Syst., Meas., Control, 118, pp. 92–98.
Li, X., and Yurkovich, S., 1999, “Sliding Mode Control of Systems with Delayed States and Controls,” K. D. Young and U. Ozguner, eds., Variable Structure Systems, Sliding Modes and Nonlinear Control, Lecture Notes in Control and Information Science, Vol. 247, Springer-Verlag, pp. 93–108.
Roh,  Y.-H., and Oh,  J.-H., 1999, “Robust Stabilization of Uncertain Input Delay Systems by Sliding Mode Control by Delay Compensation,” Automatica, 35, pp. 1255–1267.
Fridman,  L., Fridman,  E., and Shustin,  E., 2000, “Steady Modes in Relay Control Systems With Delay and Periodic Disturbances,” ASME J. Dyn. Syst., Meas., Control, 122(4), pp. 732–737.
Utkin, V., Guldner, J., and Shi, J., 1999, Sliding Modes in Electromechanical Systems, Taylor and Francis, London.
Edwards, C., and Spurgeon, S., 1998, Sliding Mode Control, Taylor and Francis, Bristol, PA.
Shkolnikov,  I. A., and Shtessel,  Y. B., 2001, “Tracking Controller Design for Nonlinear Nonminimum Phase Systems via Method of System Center,” IEEE Trans. Autom. Control, 46(10), pp. 1639–1643.
Shkolnikov,  I. A., and Shtessel,  Y. B., 2002, “Tracking a Class of Nonminimum Phase Systems With Nonlinear Internal Dynamics via Sliding Mode Control Using Method of System Center,” Automatica, 38(5), pp. 837–842.
Isidori, A., 1995, Nonlinear Control Systems, Springer-Verlag, London.
Gopalswamy,  S., and Hedrick,  J. K., 1993, “Tracking Nonlinear Non-Minimum Phase Systems Using Sliding Control,” Int. J. Control, 57, pp. 1141–1158.
Dorf, R., and Bishop, R., 1995, Modern Control Systems, Addison-Wesley.

Figures

Grahic Jump Location
Output tracking in the system with delay: scenario ii
Grahic Jump Location
Output tracking in the perturbed system with delay: scenario i
Grahic Jump Location
Output tracking in the system with delay: scenario i

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