Design of the constrained controllers for uncertain nonlinear systems using the Lyapunov stability theory

Journal of the Franklin Institute

Volumn 336, Issue 7, 1999, Pages 1075-1092

  Lyshevski, Sergey Edward ^a  

^a Indiana University Purdue University Indianapolis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; CONTROL SYSTEM SYNTHESIS; ERRORS; INDUCTION MOTORS; LYAPUNOV METHODS; ROBUSTNESS (CONTROL SYSTEMS); SERVOMECHANISMS; STATE FEEDBACK; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

CONTROL CONSTRAINT; INTEGRAL TRACKING CONTROLLERS; LYAPUNOV SECOND METHOD; ROBUST TRACKING CONTROLLERS;

NONLINEAR CONTROL SYSTEMS;

EID: 0033190016     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(99)00023-X     Document Type: Article

References (16)

1. Barmish B.R., Corless M., Leitmann G. A new class of stabilizing controllers for uncertain dynamical systems. SIAM J. Control Optim. 21:1983;246-255.
2. Douglas J., Athans M.P. Robust linear quadratic design with real parameter uncertainty. IEEE Trans. Automat. Control. AC-39:1994;107-111.
3. R.A. Freeman, P.V. Kokotovic, Robust integral control for a class of uncertain nonlinear systems, Proceedings of the Conference on Decision and Control, New Orleans, LA, Vol. 3, 1995, pp. 2245-2250.
4. ∞ stabilization via parameterized Lyapunov bounds IEEE Proc. Trans. Automatic Control. 42:1997;243-248.
5. S. Lyshevski, Methods of Synthesis of Robust Regulators for Servomechanism and Stabilization Problems, The Academy of Sciences of the Ukraine Press, Kiev, 1991.
6. S. Lyshevski, Constrained optimization and control of nonlinear systems: new results in optimal control, Proceedings of the Conference on Decision and Control, Kobe, Japan, Vol. 1, 1996, pp. 541-546.
7. S. Lyshevski, Robust control of nonlinear continuous-time systems with parameter uncertainties and input bounds, Int. J. Systems Sci. 30 (3) (1999) 247-259.
8. Peterson I.R., Hollot C.V. A Riccati equation approach to the stabilization of uncertain linear systems. Automatica. 22:1986;397-411.
9. Schmitendorf W.E., Barmish B.R. Robust asymptotic tracking for linear systems with unknown parameters. Automatica. 22:1986;355-360.
10. K. Zhou, J.C. Doyle, K. Glover, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ, 1995.
11. M. Corless, G. Leitmann, Exponential convergence for uncertain systems with component-wise bounded controllers, Proceedings of the ASME Congress and Exposition, San Francisco, CA, 1995.
12. Corless M. Guaranteed rates of exponential convergence for uncertain systems. J. Optim. Theory Appl. 64:1990;481-494.
13. P.C. Krause, O. Wasynczuk, Electromechanical Motion Devices, McGraw-Hill Book Company, New York, 1989.
14. S. Lyshevski, Robust control of servo-systems with induction motors, Proceedings of the Conference on Control Applications, Hartford, CT, 1997, pp. 103-108.
15. K. Ogata, Modern Control Engineering, Prentice-Hall, Englewood Cliffs, NJ, 1997.
16. Lyshevski S. State-space model identification of deterministic nonlinear systems: nonlinear mapping technology and application of the Lyapunov theory. Automatica. 34(5):1998;659-664.