Abstract
The paper investigates the structure and properties of selective-invariant and adaptive-invariant discrete control systems in which the effects of external regular disturbances are eliminated and those of external stochastic disturbances are essentially weakened. Possibilities of eliminating the constraints caused by multiple delays and nonminimum phase of a dynamic plant are described.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
A. I. Kukhtenko, “The main stages of the invariance theory formation, Parts 1 and 2,” Automatika, 1984, no. 2, pp. 3–13; 1985, no. 2, pp. 3–14.
V. S. Kulebakin, “On the behavior of the continuously disturbed automatic linear systems,” Doklady of the USSR Academy of Sciences, vol. 68, no. 5, pp. 73–79, 1949.
V. Kulebakin, “TheK(D) transform and its practical application,” Trudy of the N. Zhukovsky VVIA, vol. 695, pp. 59, 1958.
C. D. Johnson, “Theory of disturbance accommodating controllers,” in Advances in Control and Dynamic Systems, Chap. 12, New York, NY: Academic Press, 1976.
C. D. Johnson, “Discrete-time disturbance accommodating control theory with applications to missile digital control,” J. Guidance and Control, vol. 4, no. 2, pp. 116–125, 1981.
Ya. Z. Tsypkin, “Nonminimum phase in discrete control systems,” Itogi nauki i tekhniki., pp. 3–40, 1989. Ser. Tekhn. kibernetiki. Moscow: VINITI, T. 18.
Ya. Z. Tsypkin and E. D. Aved'yan, “Discrete adaptive control systems for deterministic plants,” Itogi nauki i tekhniki., pp. 45–78, 1985. Ser. Tekhn. kibernetiki. Moscow: VINITI, vol. 18.
L. N. Volgin, Optimal Discrete Control of Dynamic Plants. Moscow: Nauka, 1986.
E. D. Yakubovich, “Solution of an optimal control problem by means of discrete linear system,” Avtomatika i telemekhanika, vol. 9, pp. 73–79, 1975.
A. B. Kurzhansky, Control and Observation under Uncertainty. Moscow: Nauka, 1977.
V. M. Kuntsevich and M. M. Lytchak, Synthesis of Optimal and Adaptive Control Systems. Game Approach. Kiev: Naukova dumka, 1985.
A. I. Kukhtenko, Problem of Invariance in Automatics. Kiev: Uk. SSR: GITL, 1963.
C. Shannon, “Mathematical theory of the differential analyzer,” Journal of Mathematics and Physics, vol. 20, no. 4, pp. 337–352, 1941.
V. A. Nikol'sky and I. P. Sevastyanov, “q(e)-transformation of lattice functions discrete systems,” in Automatics and Electromechanics, pp. 30–36, Moscow: Nauka, 1973.
J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications. New York and London: Academic Press, 1967.
J. Zypkin, Grundlagen der Informationellen Theorie der Identification. Berlin: VEB Verlag Technik, 1987.
A. G. Ivakhnenko, Electrical Automatics. Kiev: Uk. SSR: Gostekhizdat, 1957.
B. M. Mensky, Invariance Principle in Automatic Regulation and Control. Moscow: Mashinostrojenije, 1972.
Ya. Z. Tsypkin, Adaptation and Learning in Automatic Systems. Moscow: Nauka, 1968.
G. C. Goodwin and K. S. Sin, Adaptive Filtering, Prediction and Control. Englewood Cliffs, NJ: Prentice Hall, 1984.
E. D. Aved'yan and Ya. Z. Tsypkin, “The generalized Kaczmarz algorithm,” Avtomatika i telemekhanika, vol. 3, pp. 71–84, 1979.
Y. Markl, “Convergence acceleration of the Kaczmarz algorithm in the case of input process correlation,” Avtomatika i telemekhanika, vol. 8, pp. 70–73, 1980.
K. J. Åström, Introduction to Stochastic Control Theory. New York, NY: Academic Press, 1970.
V. A. Yakubovich, “Optimization and invariance of linear stationary control systems,” Avtomatika i telemekhanika, vol. 8, pp. 5–45, 1984.
O. Smith, “Closing control of loops with dead time,” Chemical Engineering Progress, vol. 53, no. 3, pp. 217–219, 1957.
O. Smith, Feedback Control Systems. New York, NY: McGraw-Hill, 1958.
Ya. Z. Tsypkin, “Lag influence compensation in sampled-data systems,” Theory and Applications of Discrete Automatic Systems, pp. 157–171, 1960. Moscow: Izd. of the USSR Academy of Sci.
H. Gorecki, Analiza i synteza ukladow regulacji z opoznienie. Warszawa: Wydawnictwa Naucowotechniczne, 1971.
E. F. Vogel and T. E. Edgar, “A new dead-time compensator for digital control,” in Proceedings of the ISA, Annual Conference, pp. 29–46, 1980.
Z. Vostry, “New algorithms for polynomial spectral factorization with quadratic convergence,” Kibernetika, vol. 11, no. 6, pp. 415–422, 1975.
Ya. Z. Tsypkin, Optimality in adaptive control systems. Uncertainty and Control, Lecture Notes in Control and Information Sciences, vol. 70, Berlin: Springer Verlag, 1985.
T. W. Anderson, The Statistical Analysis of Time Series. New York, NY: John Wiley, 1971.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Tsypkin, Y.Z. (1991). Adaptive-invariant discrete control systems. In: Kokotović, P.V. (eds) Foundations of Adaptive Control. Lecture Notes in Control and Information Sciences, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044777
Download citation
DOI: https://doi.org/10.1007/BFb0044777
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54020-5
Online ISBN: 978-3-540-47351-0
eBook Packages: Springer Book Archive