Fradkov theorem-based design of the control of nonlinear systems with functional and parametric uncertainties

Automation and Remote Control

Volumn 66, Issue 1, 2005, Pages 108-118

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

^a ITMO UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; NONLINEAR SYSTEMS;

CONTROL LAWS; CONTROL OF NONLINEAR SYSTEM; MEASUREMENTS OF; PARAMETRIC UNCERTAINTIES; PASSIFICATION; RESULTS OF COMPUTER MODELING; SYSTEM OUTPUT;

UNCERTAINTY ANALYSIS;

EID: 84886944516     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10513-005-0010-8     Document Type: Article

References (16)

1. Fradkov, A.L., Design of Adaptive Stabilization System for Linear Dynamic Plant, Avtom. Telemekh., 1974, no. 12, pp. 96-103.
2. Fradkov, A.L., Quadratic Lyapunov Functions in the Problem of Adaptive Stabilization of the Linear Dynamic Plant, Sib. Mat. Zh., 1976, no. 2, pp. 436-446.
3. 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.
4. Kokotovic, P. and Murat, A., Constructive Nonlinear Control: A Historical Perspective, Automatica, 2001, vol. 37, no. 5, pp. 637-662.
5. Fradkov, A. and Hill, D., Exponential Feedback Passivity and Stabilizability of Nonlinear Systems, Automatica, 1998, vol. 34, no. 6, pp. 697-703.
6. Polushin, I.G., Fradkov, A.L., and Hill, D.D., Passivity and Passification of the Nonlinear Systems. Review, Avtom. Telemekh., 2000, no. 3, pp. 3-37.
7. Fradkov, A.L., Adaptivnoe upravlenie v slozhnykh sistemakh (Adaptive Control in Complex Systems), Moscow: Nauka, 1990.
8. Bobtsov, A.A. and Romasheva, D.A., Adaptive Control Law for Uncertain System with Static Nonlinearity, 11th Mediterranean Conf. Control Automat. MED'03, Rhodes, Greece, 2003.
9. Bobtsov, A.A., Robust Output Control of the Linear System with Uncertain Coefficients, Avtom. Telemekh., 2002, no. 11, pp. 108-117.
10. Arcak, M. and Kokotovic, P., Feasibility Conditions for Circle Criterion Design, Syst. Control Lett., 2001, vol. 42, no. 5, pp. 405-412.
11. Arcak, M., Larsen, M., and Kokotovic, P., Circle and Popov Criteria as Tools for Nonlinear Feedback Design, 15th Triennial World IFAC Congress, Barcelona, Spain, 2002.
12. Arcak, M., Larsen, M., and Kokotovic, P., Circle and Popov Criteria as Tools for Nonlinear Feedback Design, Automatica, 2003, vol. 39, no. 4, pp. 643-650.
13. Qian, S. and Lin, W., Output Feedback Control of a Class of Nonlinear Systems: a Nonseparation Principle Paradigm, IEEE Trans. Automat. Contr., 2002, vol. 47, no. 10, pp. 1710-1715.
14. Tsinias, J., A Theorem on Global Stabilization of Nonlinear Systems by Linear Feedback, Syst. Control Lett., 1991, vol. 17, pp. 357-362.
15. Fradkov, A.L. Adaptive Stabilization of the Minimum-phase Plants with Vector Input without Measuring the Output Derivatives, Dokl. Ross. Akad. Nauk, 1994, vol. 337, no. 5, pp. 592-594.
16. Andrievsky, B.R. and Fradkov, A.L., Adaptive Controllers with Implicit Reference Models Based on Feedback Kalman-Yakubovich Lemma, Proc. 3rd IEEE Conf. Control Appl., Glasgow, 1994, pp. 1171-1174.