State-constrained stabilization of beam-balance systems

International Journal of Robust and Nonlinear Control

Volumn 18, Issue 3, 2008, Pages 333-350

  Mahindrakar, Arun D ^a   Sankaranarayanan, V ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Input output linearization; Invariant set; LMI; Observer; State constraints

Indexed keywords

FEEDBACK; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS;

CONSTRAINED STABILIZATION; INPUT-OUTPUT LINEARIZATION; INVARIANT SET; STATE CONSTRAINTS;

FEEDBACK LINEARIZATION;

EID: 38749108884     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1227     Document Type: Article

References (18)

1. Gilbert EG, Tan KT. Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Transactions on Automatic Control 1991; 36(9): 1008-1020.
2. Richter H. Robust positively invariant cylinders for constrained sliding mode control designs. Proceedings of the 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, 2004; 5272-5278.
3. Saberi A, Han J, Stoorvogel A. Constrained stabilization problems for linear plants. Automatica 2002; 38:639-654.
4. Bemporad A, Casavola A, Mosca E. Nonlinear control of constrained linear systems via predictive reference management. IEEE Transactions on Automatic Control 1997; 42:340-349.
5. Bemporad A, Borelli F, Morari M. Model predictive control based on linear programming - the explicit solution. IEEE Transactions on Automatic Control 2002; 47(12):1974-1985.
6. Blanchini F. Set invariance in control. Automatica 1999; 35:1747-1767.
7. Ngo KB, Mahony R, Zhong-Ping J. Integrator backstepping fusing barrier functions for systems with multiple state constraints. Proceedings of the 44th IEEE Conference on Decision and Control, Seville, Spain, December 2005; 8306-8312.
8. Kristic M, Kanellakopoulos I, Kokotovic P. Nonlinear Adaptive Control Design. Wiley: New York, 1995.
9. Lévine J, Lottin J, Ponsart J-C. A nonlinear approach to the control of magnetic bearings. IEEE Transactions on Control Systems Technology 1996; 4:524-544.
10. Charara A, Miras JD, Caron B. Nonlinear control of a magnetic levitation system without premagnetization. IEEE Transactions on Control Systems Technology 1996; 4:513-523.
11. Tsiotras P, Velenis E. Low-bias control of AMB's subject to saturation constraints. IEEE International Conference on Control Application, Ancorage, AL, September 2000; 138-143.
12. Li L. Linearizing magnetic bearing actuators by constant current sum, constant voltage sum, and constant flux sum. IEEE Transactions on Magnetics 1999; 35:528-535.
13. Hu T, Lin Z. Control Systems with Actuator Saturation. Birkhauser: Boston, 2001.
14. Isidori A. Nonlinear Control Systems. Springer: New York, 1995.
15. Boyd S, Ghaoui LE, Feron E, Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. SIAM: Philadelphia, PA, 1994.
16. Hu T, Lin Z, Jiang W, Allaire PE. Constrained control design for magnetic bearing systems. ASME Journal of Dynamic Systems, Measurement, and Control 2005; 127:601-616.
17. Ciccarella G, Mora MD, Germani A. A Luenberger-like observer for nonlinear systems. International Journal of Control 1993; 57(3):537-556.
18. Khalil HK. Nonlinear Systems. Prentice-Hall: Englewood Cliffs, NJ, 1996.