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TECHNICAL PAPERS

Sliding Mode Observer-Based Synthesis of State Derivative-Free Model Reference Adaptive Control of Distributed Parameter Systems

[+] Author and Article Information
Y. V. Orlov

Electronics and Telecommunication Department, CICESE Research Center, Mexico, P.O. Box 434944 San Diego, CA 92143-4944e-mail: yorlov@cicese.mx

J. Dyn. Sys., Meas., Control 122(4), 725-731 (Jan 20, 2000) (7 pages) doi:10.1115/1.1320447 History: Received January 20, 2000
Copyright © 2000 by ASME
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References

Landau, Y. D., 1979, Adaptive Control - The Model Reference Approach. Marcel Dekker, New York.
Bentsman, J., and Orlov, Y. V., “Reduced spatial order model reference adaptive control of spatially varying distributed parameter systems of parabolic and hyperbolic types,” Int. J. Adapt. Control Signal Proc. (to be published).
Böhm,  M., Demetriou,  M. A., Reich,  S., and Rosen,  I. G., 1997, “Model reference adaptive control of distributed parameter systems,” SIAM J. Control Optim., 35, pp. 678–713.
Hong,  K. S., and Bentsman,  J., 1994, “Direct adaptive control of parabolic systems: algorithm synthesis and convergence and stability analysis,” IEEE Trans. Autom. Control, AC-39, pp. 2018–2033.
Bamieh, B. A., 1997, “The structure of optimal controllers of spatially-invariant distributed parameter systems,” Proc. 36th IEEE Conf. on Decision and Control, pp. 1056–1061.
Friedman, A., 1969, Partial Differential Equations, Holt, Reinhart, and Winston, New York.
Krasnoselskii, M. A., et al., 1976, Integral Operators in Spaces of Summable Functions, Noordhoff, Leyden.
Utkin, V. I., 1992, Sliding Modes in Control Optimization. Springer-Verlag, Berlin.
Orlov,  Y. V., 2000, “Discontinuous unit feedback control of uncertain infinite-dimensional systems,” IEEE Trans. Autom. Control, AC-45, pp. 834–844.
Kravaris,  C., and Seinfeld,  J. H., 1985, “Identification of parameters in distributed parameter systems by regularization,” SIAM J. Control Optim., 23, pp. 217–241.
Orlov,  V. Yu., and Bentsman,  J., 2000, “Adaptive Distributed Parameter Systems Identification with Enforceable Identifiability Conditions and Reduced Order Spatial Differentiation,” IEEE Trans. Autom. Control, AC-45, pp. 203–216.

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