Output control of linear systems with unmodeled dynamics

Automation and Remote Control

Volumn 70, Issue 6, 2009, Pages 1019-1025

  Bobtsov, A A ^a   Nikolaev, N A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; LINEAR SYSTEMS;

ASYMPTOTICALLY STABLE; CONTROL LAWS; FEASIBILITY CONDITION; OUTPUT CONTROL; UNCERTAIN PLANTS; UNMODELED DYNAMICS;

DYNAMICS;

EID: 67649959415     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117909060083     Document Type: Article

References (15)

1. Bobtsov, A.A., Robust Output-Control for a Linear System with Uncertain Coefficients, Autom. Remote Control, 2002, no. 11, pp. 1794-1802. (Pubitemid 37113948)
2. Bobtsov, A.A. and Nagovitsyna, A.G., Adaptive Control of Linear Nonstationary Objects Output, Autom. Remote Control, 2006, no. 12, pp. 2010-2020. (Pubitemid 44957904)
3. Bobtsov, A.A. and Nikolaev, N.A., Fradkov Theorem-based Design of the Control of Nonlinear Systems with Functional and Parametric Uncertainties, Autom. Remote Control, 2005, no. 1, pp. 108-118.
4. Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.
5. Dmitriev, M.G. and Kurina, G.A., Singular Perturbations in Control Problems, Autom. Remote Control, 2006, no. 1, pp. 1-43. (Pubitemid 43312080)
6. Voronov, V.A., Vvedevie v dinamiku slozhnykh upravlyaemykh sistem (Introduction to the Dynamics of Complex Control Systems), Moscow: Nauka, 1985.
7. Fradkov, A.L., Design of Adaptive Control Systems for Nonlinear Singularly Perturbed Plants, Avtom. Telemekh., 1987, no. 6, pp. 100-110.
8. Fradkov, A.L., Adaptivnoe upravlenie v slozhnykh sistemakh. Bespoiskovye metody (Adaptive Control in Complex Systems. Searchless Methods), Moscow: Nauka, 1990.
9. Ioannou, P.A. and Kokotovic, P.V., Adaptive Systems with Reduced Models, Lect. Notes Control Inf. Sci., Heidelberg: Springer-Verlag, 1983, vol. 47.
10. Saksena, V.R., O'Reily, T., and Kokotovic, P.V., Singular Perturbations and Time-scale Methods in Control Theory. Survey 1976-1983, Automatica, 1984, no. 3, pp. 273-294.
11. Butuzov, V.F., Asymptotic Formulae for Solving Systems of Differential Equations with Small Parameters at the Derivatives over Semi-infinite Interval, Vestn. Mosk. Gos. Univ., 1963, no. 4, pp. 3-14.
12. A.I. Klimushev N.N. Krasovskii 1961 Uniform Asymptotic Stability of Systems of Differential Equations with Small Parameters at the Derivatives Prikl. Mat. Mekh. 25 4 680 694
13. Mitropol'skii, Yu.A. and Khoma, G.P., Matematicheskoe obosnovanie asimptoticheskikh metodov nelineinoi mekhaniki (Mathematical Validation of Asymptotic Methods in Nonlinear Mechanics), Kiev: Naukova Dumka, 1971.
14. Moiseev, N.N., Matematicheskie problemy sistemnogo analiza (Mathematical Problems in System Analysis), Moscow: Nauka, 1981.
15. Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost' nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya (Stability of Nonlinear Systems with Nonunique Equilibrium State), Moscow: Nauka, 1978.