Abstract
This paper analyzes the performance of output feedback controllers for a class of uncertain time-varying nonlinear systems in the presence of unmodeled actuator and sensor dynamics. In particular, on the basis of known nominal model and bounds on the uncertainties, and initially neglecting actuator and sensor dynamics, high-gain output feedback schemes are determined which force the output to track a given signal. Then, the effects of actuator and sensor dynamics are investigated on the performance of the tracking system.
Preview
Unable to display preview. Download preview PDF.
References
V. I. Utkin, Sliding modes and their applications in variable structure systems, Mir Publishers, Moscow, 1978.
V. Utkin, "Application of equivalent control method to systems with large feedback gain," IEEE Trans. Automat. Contr., Vol. AC-23, No. 3, pp. 484–486, 1978.
R. M. Hirschorn, "Invertibility of multivariable nonlinear control systems," IEEE Trans. Automat. Contr., Vol. AC-24, No. 6, pp. 855–865, 1979.
R. Marino, "High-gain feedback in nonlinear control systems," Int. J. Contr., Vol. 42, No. 6, pp. 1369–1385, 1985.
L. R. Hunt, R. Su, and G. Meyer, "Global transformations of nonlinear systems," IEEE Trans. Automat. Contr., Vol. AC-28, No. 1, pp. 24–31, Jan. 1983.
R. Su, G. Meyer and L. R. Hunt, "Robustness in nonlinear control," in "Differential geometric control theory" Ed. R. W. Brockett et al., pp. 316–337, Birkhäuser, Boston, 1983.
A. G. Bondarev, S. A. Bondarev, N. E. Kostyleva, and V. I. Utkin, "Sliding modes in systems with asymptotic state observers," Automation and Remote Control, Vol. 46, No. 6, Part 1, pp. 679–684, June 1985.
B. L. Walcott and S. H. Żak, "Output feedback control of nonlinear dynamical systems", Presented at the Int. Symp. on MTNS, Phoenix, Arizona, June 15–19, 1987.
G. Leitmann, E. P. Ryan, and A. Steinberg, "Feedback control of uncertain systems: Robustness with respect to neglected actuator and sensor dynamics," Int. J. Contr., Vol. 43, No. 4, pp. 1243–1256, 1986.
R. A. DeCarlo, S. H. Żak and G. P. Matthews, "Variable structure control of nonlinear multivariable systems: A tutorial," to appear, Proceedings of the IEEE, March 1988.
L. R. Hunt, M. Luksic and R. Su, "Exact linearizations of input-output systems," Int. J. Control, Vol. 43, No. 1, pp. 247–255, 1986.
A. Steinberg and M. Corless, "Output feedback stabilization of uncertain dynamical systems," IEEE Trans. Automat. Contr., Vol. AC-23, No. 10, pp. 1025–1027, 1985.
H. M. Power and R. J. Simpson, "Introduction to dynamics and control," McGraw-Hill, England, 1978.
J. Descusse and C. H. Moog, "Decoupling with dynamic compensation for strong invertible affine non-linear systems," Int. J. Control, Vol. 42, No. 6, pp. 1387–1398, 1985.
A. Isidori, "The matching of a prescribed linear input-output behavior in a nonlinear system," IEEE Trans. Automat. Contr., Vol. AC-30, No. 3, pp. 258–265, 1985.
L. J. Ha and E. G. Gilbert, "A complete characterization of decoupling control laws for a general class of nonlinear systems," IEEE Trans. Automat. Contr., Vol. AC-31, No. 9, pp. 823–830, 1986.
M. J. Corless and G. Leitmann, "Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems," IEEE Trans. Automat. Contr., Vol. AC-26, No. 5, pp. 1139–1144, 1981.
J. O'Reilly, "Robustness of linear feedback control systems to unmodelled high-frequency dynamics," Int. J. Control, Vol. 14, No. 4, pp. 1077–1088, 1988.
W. T. Bauman and W. J. Rugh, "Feedback control of nonlinear systems by extended linearization," IEEE Trans. Automat. Contr., Vol. AC-31, No. 1, pp. 40–46, Jan. 1986.
A. G. Lukýanov and V. I. Utkin, "Method of reducing equations for dynamic systems to a regular form," Automation and Remote Control, No. 4, pp. 5–13, April 1981.
V. I. Utkin and A. S. Vostrikov, "Control systems with decoupling motions," Proc. 7th Triennial World Congress of the IFAC, Vol. 2, pp. 967–973, Helsinki, Finland, June 12–16, 1978.
S. T. Glad, "Robustness of nonlinear state feedback — A survey," Automatica, Vol. 23, No. 4, pp. 425–435, 1987.
S. T. Glad, "On the gain margin of nonlinear and optimal regulators," IEEE Trans. Automat. Contr., Vol. AC-29, No. 7, pp. 615–620, July 1984.
A. S. Vostrikov, V. I. Utkin, and G. A. Frantsuzova, "Systems with state vector derivative in the control," Automation and Remote Contr., Vol. 43, No. 3, pp. 283–286, 1982.
S. H. Żak, J. D. Brehove, and M. J. Corless, "Control of uncertain systems with unmodeled actuator and sensor dynamics and incomplete state information," to appear; IEEE Trans. Systems, Man, and Cybernetics.
R. Sommer, "Control design for multivariable non-linear time-varying systems," Int. J. Control, Vol. 31, No. 5, pp. 883–891, 1980.
D. Bestle and M. Zeitz, "Canonical form observer design for non-linear time-variable systems," Int. J. Control, Vol. 38, No. 2, pp. 419–431, 1983.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Żak, S.H., Hached, M. (1989). Output feedback control of uncertain systems in the presence of unmodeled actuator and sensor dynamics. In: Blaquiére, A. (eds) Modeling and Control of Systems. Lecture Notes in Control and Information Sciences, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041187
Download citation
DOI: https://doi.org/10.1007/BFb0041187
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50790-1
Online ISBN: 978-3-540-46087-9
eBook Packages: Springer Book Archive