Galerkin-based sliding mode tracking control of non-minimum phase DC-to-DC power converters

International Journal of Robust and Nonlinear Control

Volumn 17, Issue 7, 2007, Pages 587-604

  Fossas, Enric ^a   Olm, Josep M ^a   Zinober, Alan S ^b   Shtessel, Yuri B ^c  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

^c UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

Author keywords

Bilinear power converters; Galerkin method; Non minimum phase systems; Robust control

Indexed keywords

GALERKIN METHODS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; ROBUST CONTROL; STATE ESTIMATION; VOLTAGE CONTROL;

BILINEAR POWER CONVERTERS; DISTURBED LOAD PARAMETERS; GALERKIN APPROXIMATION; NON-MINIMUM PHASE SYSTEMS;

POWER CONVERTERS;

EID: 34247213864     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1136     Document Type: Article

References (27)

1. Edwards C, Spurgeon S. Sliding Mode Control: Theory and Applications. Taylor & Francis: London-Bristol, 1998.
2. Venkataramanan R, Šabanovič A, Čuk S. Sliding mode control of DC-to-DC converters. Proceedings of the 11th Annual Conference of IEEE Industrial Electronics Society 1985; 251-258.
3. Sira-Ramírez H. Sliding motions in bilinear switched networks. IEEE Transactions on Circuits and Systems 1987; 34(8):919-933.
4. Boudjema F, Boscardin M, Bidan P, Marpinard JC, Valentin M, Abatut JL. VSS approach to a full bridge buck converter used for AC sine voltage generation. Proceedings of the 15th Annual Conference of IEEE Industrial Electronics Society, 1989; 82-89.
5. Carpita M, Marchesoni M. Experimental study of a power conditioning system using sliding mode control. IEEE Transactions on Power Electronics 1996; 11(5):731-742.
6. Rodríguez H, Ortega R, Escobar G, Baranov N. A robustly stable output feedback saturated controller for the boost DC-to-DC converter. Systems and Control Letters 2000; 40:1-8.
7. Tan SC, Lai YM, Tse CK. Implementation of pulse-width-modulation based sliding mode controllers for boost converters. IEEE Power Electronics Letters 2005; 3(4):130-135.
8. Cáceres RO, Barbi I. A boost DC-AC converter: analysis, design and experimentation. IEEE Transactions on Power Electronics, 1999; 14(1):134-141.
9. Cortés E, Alvarez Jq, Álvarez J, Fradkov A. Tracking control of the boost converter. IEE Proceedings of Control Theory and Applications 2004; 151(2):218-224.
10. Sira-Ramírez H. DC-to-AC power conversion on a 'boost' converter. International Journal of Robust and Nonlinear Control 2001; 11(6):589-600.
11. Shtessel Y, Zinober A, Shkolnikov I. Sliding mode control of boost and buck-boost power converters using the dynamic sliding manifold. International Journal of Robust and Nonlinear Control 2003; 13(14): 1285-1298.
12. Beard RW, Saridis GN, Wen JT. Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equations. Automatica 1997; 33(12):2159- 2177.
13. McLain T, Beard RW. Successive Galerkin approximations to the nonlinear optimal control of an underwater robot vehicle. Proceedings of the IEEE International Conference on Robotics and Automation 1998; 762-767.
14. Banks H, del Rosario RC, Smith RC. Reduced-order model feedback control design: numerical implementation in a thin shell model. IEEE Transactions on Automatic Control 2000; 45(7): 1312-1324.
15. Kim Y, Kim B, Lim M. Composite control for singularly perturbed bilinear systems via successive Galerkin approximation. IEE Proceedings of the Control Theory and Applications 2003; 150(5):483-488.
16. Fossas E, Olm JM, Zinober A. Robust tracking control of DC-to-DC nonlinear power converters. Proceedings of the 43rd IEEE Conference on Decision and Control, 2004; 5291-5296.
17. Escobar G. On nonlinear control of switching power electronics systems. Ph.D. Thesis, Université de Paris-Sud, U.F.R. Scientifique d'Orsay, France, 1999.
18. Shtessel Y, Zinober A, Shkolnikov I. Sliding mode control of boost and buck-boost power converters control using method of stable system centre. Automatica 2003; 39(6):1061-1067.
19. Shkolnikov IA, Shtessel YB. Tracking controller design for a class of nonminimum phase systems via the Method of System Center. IEEE Transactions on Automatic Control 2001; 46(10):1639-1642.
20. Shkolnikov IA, Shtessel YB. Tracking in a class of nonminimum-phase systems with nonlinear internal dynamics via sliding mode control using method of system center. Automatica 2002; 38(5):837-842.
21. Fossas E. Olm JM. Asymptotic tracking in DC-to-DC nonlinear power converters Discrete and Continuous Dynamical Systems - Series B 2002; 2(2):295-307.
22. Olm JM. Asymptotic tracking with DC-to-DC bilinear power converters. Ph.D. Thesis, Universitat Politècmai de Catalunya, Spain. 2004. Available online at: www.tdx.cesca.es
23. Fossas-Colet E, Zinober ASI. Adaptive tracking control of nonlinear power conveners. Proceedings of the IFAC Workshop on Adaptation and Learning in Control and Signal Process. 2001; 261-266.
24. Sira-Ramírez H. Differential geometric methods in variable-structure control. International Journal of Control 1988; 48(4):1359-1390.
25. Sastry S. Nonlinear Systems, Analysis. Stability and Control. Springer: New York, 1999.
26. Slotine JJE, Li W. Applied Nonlinear Control. Prentice-Hall: Englewood Cliffs, NJ, 1991.
27. Zeidler E. Nonlinear Functional Analysis and its Applications - Part 11A: Linear Monotone Operators. Springer: New York, 1990.