Abstract
The most complete form of control systems corresponding the principle of duality is given. Established is a new principle of feedback with additive system disturbances which permits to put in practice the optimal system variables in the case when they cannot be realized by using the feedback principle. Some other schemes of closed-loop systems are studied and generalized. The corresponding examples are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ahiezer, N. I., and Glazman, I. M. (1966).Theory of Linear Operators in a Hilbert Space [in Russian), Nauka, Moscow.
Aliev, F. A., Larin, V. B., and Naumenko, K. I. (1978).Optimizing Linear Time-Invariant Control Systems (in Russian), Naukova Dumka, Kiev.
Belya, K. K. (1962).Non-Linear Oscilations in Automatical Control Systems (in Russian), Mashgiz, Moscow.
Chang, S. S. L. (1961).Synthesis of Optimal Control Systems, McGraw-Hill, New York.
Cheremensky, A. G. (1991). Robust frequency design of linear stationary systems in aeroautoelastics,J. Sci. Comp. 6, 211–227.
Feintuch, A., and Saeks, R. (1982).System Theory: a Hilbert Space Approach, Acad. Press, New York.
Fomin, V. N. (1991).Discrete Linear Control Systems, Kluwer Academic Publishers, Dordrecht, Boston, London.
Kalman, R. E., Falb, P., and Arbib, M. (1966).Topics in Mathematical System Theory, McGraw-Hill, New York.
Kato, T. (1966).Perturbation Theory for Linear Operator. Springer Publ., New York.
Kolmogorov, A. N. (1939). Sur l'interpolation et extrapolation des suites stationnaires,C. R. Acad. Sci. Paris Ser. I 208, 2043–2045.
Larin, V. B., Naumenko, K. I., and Suntzev, V. N. (1971).Spectral Methods of Design of Linear Feedback Systems, (in Russian), Naukova Dumka, Kiev.
McColl, L. A. (1946).A Fundamental Theory of Servomechanisms, Van Nostrand, New York.
Newton, G. C., Gould, L. A., and Kaiser, J. F. (1957).Analytical Design of Linear Feedback Controls, Wiley Publ., New York.
Porter, W. A. (1966).Modern Fundations of System Theory, Macmillan, New York.
Ray, W. H. (1981).Advanced Process Control, McGraw-Hill, New York.
Schipanov, G. V. (1939). Theory and methods of construction of regulators (in Russian).Autom. Remote Control (1) 49–66.
Wiener, N. (1949).Extrapolation, Interpolation and Smoothing of Stationary Time Series with Engineering Applications, Wiley, New York (issued in 1942, as a classified Nat. Defense Res. Council Rep.).
Wolovich, W. A. (1974). Linear multivariable systems,Appl. Math. Sci. 11.
Yakubovich, V. A. (1984). Optimization and invariability of linear stationary control systems (in Russian),Autom. Remote Control 45 (8), 5–45.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cheremensky, A.G. Principle of feedback with additive system disturbances and some compensator schemes. J Sci Comput 9, 17–37 (1994). https://doi.org/10.1007/BF01573176
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01573176