Output tracking in causal nonlinear systems with an output time delay is considered using sliding mode control. The problem is reduced to that of the tracking of the output reference profile given by an exogenous system in a causal non-minimum phase system without delay, where the delay is being replaced by its Pade’ approximation. The non-minimum phase output-tracking problem is transformed to a corresponding state tracking problem. Bounded state tracking profiles are generated by equations of the stable system center. A sliding mode control algorithm is developed. A numerical example demonstrates the effectiveness of the sliding mode control design.
Issue Section:
Technical Briefs
1.
Choi
, S. B.
, and Hedrick
, J. K.
, 1996
, “Robust Throttle Control of Automotive Engines
,” ASME J. Dyn. Syst., Meas., Control
, 118
, pp. 92
–98
.2.
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.
3.
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
.4.
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
.5.
Utkin, V., Guldner, J., and Shi, J., 1999, Sliding Modes in Electromechanical Systems, Taylor and Francis, London.
6.
Edwards, C., and Spurgeon, S., 1998, Sliding Mode Control, Taylor and Francis, Bristol, PA.
7.
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
.8.
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
.9.
Isidori, A., 1995, Nonlinear Control Systems, Springer-Verlag, London.
10.
Gopalswamy
, S.
, and Hedrick
, J. K.
, 1993
, “Tracking Nonlinear Non-Minimum Phase Systems Using Sliding Control
,” Int. J. Control
, 57
, pp. 1141
–1158
.11.
Dorf, R., and Bishop, R., 1995, Modern Control Systems, Addison-Wesley.
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