Robust output tracking control of an uncertain linear system via a modified optimal linear-quadratic method

Journal of Optimization Theory and Applications

Volumn 117, Issue 3, 2003, Pages 649-659

  Shieh, N C ^a   Liang, K Z ^b   Mao, C J ^c  

^a CHUNG SHAN INSTITUTE OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b CHING YUN UNIVERSITY   (Taiwan)

^c SOUTHERN TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

maglev vehicle model; matching conditions; Optimal linear quadratic control; output tracking control; uncertain linear systems

Indexed keywords

LINEAR CONTROL SYSTEMS; MAGNETIC LEVITATION; NAVIGATION;

DEGREE OF STABILITY; LINEAR QUADRATIC METHOD; LINEAR-QUADRATIC CONTROLS; MAGLEV VEHICLE MODEL; MATCHING CONDITION; OPTIMAL LINEAR-QUADRATIC CONTROL; OUTPUT TRACKING CONTROL; OUTPUT-TRACKING; UNCERTAIN LINEAR SYSTEM; VEHICLE MODELLING;

MAGNETIC LEVITATION VEHICLES;

EID: 0037527964     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023910008156     Document Type: Article

References (12)

1. GUTMAN, S., Uncertain Dynamical Systems: A Lyapunov Min-Max Approach, IEEE Transactions on Automatic Control, Vol. 24, pp. 437-443, 1979.
2. BARMISH, B. R., PETERSEN, I. R., and FEUER, A., Linear Ultimate Boundedness Control of Uncertain Dynamical Systems, Automatica, Vol. 19, pp. 523-532, 1983.
3. PETERSEN, I. R., and HOLLOT, C. V., A Riccati Equation Approach to the Stabilization of Uncertain Linear Systems, Automatica, Vol. 22, pp. 397-411, 1986.
4. SCHMITENDORF, W. E., and BARMISH, B. R., Robust Asymptotic Tracking for Systems with Unknown Parameters, Automatica, Vol. 22, pp. 355-360, 1986.
5. MAO, C. J., and YANG, J. H., Decentralized Output Tracking for Linear Uncertain Interconnected Systems, Automatica, Vol. 31, pp. 151-154, 1995.
6. IKEDA, M., and SILJAK, D. D., Decentralized Stabilization of Linear Time-Varying Systems, IEEE Transactions on Automatic Control, Vol. 25, pp. 106-107, 1980.
7. LEITMANN, G., Guaranteed Ultimate Boundedness for a Class of Uncertain Linear Dynamical Systems, IEEE Transactions on Automatic Control, Vol. 23, pp. 1109-1110, 1978.
8. LEITMANN, G., Guaranteed Asymptotic Stability for Some Linear Systems with Bounded Uncertainties, Journal of Dynamic Systems, Measurement, and Control, Vol. 101, pp. 212-216, 1979.
9. CORLESS, M. J., and LEITMANN, G., Continuous State Feedback Guaranteeing Uniform Ultimate Boundedness for Uncertain Dynamic Systems, IEEE Transactions on Automatic Control, Vol. 26, pp. 1139-1144, 1981.
10. ANDERSON, B. D. O., and MOORE, J. B., Linear System Optimization with Prescribed Degree of Stability, IEE Proceedings, Vol. 116, pp. 2083-2087, 1969.
11. CHEN, Y. H., On the Deterministic Performance of Uncertain Dynamical Systems, International Journal of Control, Vol. 43, pp. 1557-1579, 1986.
12. TSAY, S. C., FONG, I. K., and KUO, T. S., Robust Linear-Quadratic Optimal Control for Systems with Linear Uncertainties, International Journal of Control, Vol. 53, pp. 81-96, 1991.