Abstract
This paper addresses the problem of robust output-feedback controller design for uncertain and nonlinear dynamic systems. First a robust state-feedback nonlinear control law is synthesized. This control strategy practically stabilizes the closed-loop system. Then a state estimator for the nonlinear/uncertain plant is designed and its performance analyzed. Finally the control law and the estimator are combined and the practical stability region is estimated. The results are illustrated by their application to a benchmark problem for robust control design proposed by Wie and Bernstein (1990).
This work was supported by the School of Electrical Engineering of Purdue University, West Lafayette, IN 47907.
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References
Bondarev, A. G., S. A. Bondarev, N. E. Kostyleva, and V. I. Utkin, (1985) "Sliding modes in systems with asymptotic state observers," Automation and Remote Control, Vol. 46, No. 6, Pt. 1, pp. 679–684.
Corless, M. J., and G. Leitmann, (1981) "Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamical systems," IEEE Trans. Automat. Contr., Vol. AC-26, No. 5, pp. 1139–1144.
DeCarlo, R. A., S. H. Żak, and G. P. Matthews, (1988) "Variable structure control of non-linear multivariable systems: A tutorial," Proceedings of the IEEE, Vol. 76, No. 3, pp. 212–232.
El-Ghezawi, O. M. E., A. S. I. Zinober, and S. A. Billings, (1983) "Analysis and design of variable structure systems using a geometric approach," Int. J. Control, Vol. 38, No. 3, pp. 657–671.
Hui, S., and S. H. Żak, (1990) "Control and observation of uncertain systems: A variable structure systems approach," in Control and Dynamic Systems, Vol. 34, Part 1, Edited by C. T. Leondes, Academic Press, San Diego, pp. 175–204.
Lindorff, D. P., (1967), "Control of nonlinear multivariable systems," IEEE Trans. Automat. Contr., Vol. AC-12, No. 5, pp. 506–515.
Luenberger, D. G., (1971) "An introduction to observers," IEEE Trans. Automat. Contr., Vol. AC-16, No. 6, pp. 596–602.
Madani-Esfahani, S. M., S. Hui, and S. H. Żak, (1988), "On the estimation of sliding domains and stability regions of variable structure control systems," Proc. 26th Annual Allerton Conf. on Communication, Control, and Computing, Monticello, Illinois, pp. 518–527.
Patel, R. V., and M. Toda, (1980) "Quantitative measures of robustness for multivariable systems," Proc. Joint Automatic Control Conf. (JACC), San Francisco, CA, pp. TP8-A.
Ryan, E. P., and M. Corless, (1984) "Ultimate boundedness and asymptotic stability of a class of uncertain dynamical systems via continuous and discontinuous feedback control," IMA Journal of Mathematical Control & Information, Vol. 1, pp. 223–242.
Wie, B., and D. S. Bernstein, (1990) "A benchmark problem for robust control design," Proc. 1990 American Control Conf. (ACC), San Diego, CA, pp. 961–962.
Utkin, V. I., (1977) "Variable structure systems with sliding modes," IEEE Trans. Automat. Contr., Vol. AC-22, No. 2, pp. 212–222.
Utkin, V. I., (1978) "Sliding Modes and Their Application in Variable Structure Systems," Moscow, Mir Publishers.
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© 1992 Springer-Verlag
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Hui, S., Żak, S.H. (1992). Robust control synthesis for uncertain/nonlinear dynamical systems. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004308
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DOI: https://doi.org/10.1007/BFb0004308
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