Abstract
The problem of getting the given output vector-function by program control was solved for the uniform linear stationary dynamic system. Cascaded decomposition revealed the minimal amount of the components of the vector-function which suffices for solution of the formulated problem. The control and state functions were constructed. Solution of the problem without constructing the projectors and semi-inverse matrices was demonstrated by way of example.
Similar content being viewed by others
References
Utkin, V.A., The Method of Separation of Movement in the Problems of Observation, Autom. Remote Control, 1990, vol. 51, no. 3, pp. 300–308.
Zubova, S.P. and Chernyshov, K.I., On Linear Differential Equation with Fredholm Operator at the Derivaive, Differ. Uravn. Primen., Vil’nyus: Inst. Fiz. Mat. AN Litovskoi SSR, 1976, vol. 14, pp. 21–39.
Zubova, S.P., Raetskaya, E.V., and Le Hai Trung, On Polynomial Solutions of the Linear Stationary Control System, Autom. Remote Control, 2008, vol. 69, no. 11, pp. 1852–1858.
Zubova, S.P. and Tran Thanh Tuan, Development of a Fast Decreasing Solution of the Nonuniform system in the Presence of Check Points and Conditions for Control, Autom. Remote Control, 2010, vol. 71, no. 11, pp. 2283–2290.
Zubova, S.P., On Full Controllability Criteria of a Descriptor System. The Polynomial Solution of a Control Problem with Checkpoints, Autom. Remote Control, 2011, vol. 72, no. 1, pp. 3–37.
Raetskaya, E.V., On a Problem of Observation of Perturbed System, in Mathematical Methods and Applications, Proc. X Mathem. Readings of MGSU, Moscow, 2003, pp. 80–85.
Raetskaya, E.V., Conditional Controllability and Observability of Linear Systems, Cand. Sc. (Phys.- Math.) Dissertation, Voronezh: VGU, 2004.
Krasnova, S.A. and Utkin, V.A., Cascaded Design of State Observers of the Dynamic System, Moscow: Nauka, 2006.
Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1988. Translated into English under the title Theory of Matrices, New York: Chelsea, 1959.
D’Angelo, G., Lineinye sistemy s peremennyni parametrami. Analiz i sisntez (Linear Systems with Variable Parameters. Analysis and Design), Moscow: Mashinostroenie, 1974.
Andreev, Yu.N., Upravlenie konechnomernymi lineinymi ob”ektami (Control of Finite-Dimensional Linear Plants). Moskow: Nauka, 1976.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.P. Zubova, E.V. Raetskaya, 2018, published in Avtomatika i Telemekhanika, 2018, No. 5, pp. 3–23.
Rights and permissions
About this article
Cite this article
Zubova, S.P., Raetskaya, E.V. Construction of Controls Providing the Desired Output of the Linear Stationary Dynamic System. Autom Remote Control 79, 775–792 (2018). https://doi.org/10.1134/S0005117918050016
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117918050016