Experimental implementation and validation of a novel minimal control synthesis adaptive controller for continuous bimodal piecewise affine systems

Control Engineering Practice

Volumn 20, Issue 3, 2012, Pages 269-281

  di Bernardo, Mario ^a   Hoyos Velasco, Carlos Ildefonso ^a   Montanaro, Umberto ^b   Santini, Stefania ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b ISTITUTO MOTORI CNR   (Italy)

Author keywords

Discontinuous control; Implementation; Model reference adaptive control; Piecewise linear controllers; Validation

Indexed keywords

DISCONTINUOUS CONTROL; IMPLEMENTATION; MODEL REFERENCE ADAPTIVE; PIECEWISE LINEAR CONTROLLERS; VALIDATION;

ADAPTIVE ALGORITHMS; CONTROLLERS; DYNAMICS; LINEAR CONTROL SYSTEMS; PIECEWISE LINEAR TECHNIQUES;

MODEL REFERENCE ADAPTIVE CONTROL;

EID: 84856415926     PISSN: 09670661     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.conengprac.2011.11.003     Document Type: Article

References (37)

1. Almer, S., Marithoz, S., & Morari, M. (2010). Piecewise affine modeling and control of a step-up dc-dc converter. In Proceedings of the American control conference (ACC) (pp. 3299-3304).
2. Angenent W., Witvoet G., Heemels W., van de Molengraft M., Steinbuch M. Performance analysis of reset control systems. International Journal of Robust and Nonlinear Control 2010, 20(11):1213-1233.
3. Bemporad A., Morari M. Control of systems integrating logic, dynamics, and constraints. Automatica 1999, 35(3):407-427.
4. Brogliato B. Some perspectives on the analysis and control of complementarity systems. IEEE Transactions on Automatic Control 2003, 48(6):918-935.
5. Brogliato B., Heemels W. Observer design for Lur'e systems with multivalued mappings: A passivity approach. IEEE Transactions on Automatic Control 2009, 54(8):1996-2001.
6. di Bernardo M., Budd C., Champneys A., Kowalczyk P. Piecewise-smooth dynamical systems: Theory and applications 2007, Springer-Verlag.
7. di Bernardo M., di Gaeta A., Montanaro U., Santini S. Synthesis and experimental validation of the novel LQ-NEMCSI adaptive strategy on an electronic throttle valve. IEEE Transactions on Control Systems Technology 2010, 18(6):1325-1337.
8. di Bernardo, M., Montanaro, U., & Santini, S. (2007). On a novel hybrid LQ-MCS control strategy and its application to a dc motor. In ISCAS, In Proceedings of the IEEE international symposium on circuits and systems (ISCAS) (pp. 2459-2462).
9. di Bernardo, M., Montanaro, U., & Santini, S. (2008). Novel switched model reference adaptive control for continuous piecewise affine systems. In Proceedings of the IEEE conference on decision and control (CDC) (pp. 1925-1930).
10. di Bernardo M., Montanaro U., Santini S. Minimal control synthesis adaptive control of continuous bimodal piecewise affine systems. SIAM Journal on Control and Optimization 2010, 48(7):4242-4261.
11. di Bernardo M., Montanaro U., Santini S. Canonical forms of generic piecewise linear continuous systems. IEEE Transaction on Automatic Control 2011, 56(8):1911-1915.
12. Franklin G.F., Powell J.D., Workman M.L. Digital control of dynamic systems 1997, Prentice Hall.
13. Geyer, T., Papafotiou, G., & Morari, M. (2005). Model predictive control in power electronics: A hybrid systems approach. In Proceedings of the IEEE conference on decision and control, and the European control conference (pp. 5606-5611).
14. Heemels W.P.M.H., Camlibel M.K., Schumacher J.M.H. On the dynamic analysis of piecewise-linear networks. IEEE Transactions on Circuits and Systems I-Fundamental Theory and Applications 2002, 49(3):315-327.
15. Hensen, R. H. (2002). Controlled mechanical systems with friction. Ph.D. thesis, Eindhoven University of Technology, The Netherlands: Eindhoven.
16. Hernandez C., Page M., Sari T., de Jong H., Gouz J.L., Geiselmann J. Qualitative simulation of genetic regulatory networks using piecewise-linear models. Bulletin of Mathematical Biology 2004, 66:301-340.
17. Hodgson S., Stoten D. Passivity-based analysis of the minimal control synthesis algorithm. International Journal of Control 1996, 63(1):67-84.
18. Ishitobi M., Nishi M., Nakasaki K. Nonlinear adaptive model following control for a 3-dof tandem-rotor model helicopter. Control Engineering Practice 2010, 18(8):936-943.
19. Keener J., Sneyd J. Mathematical physiology 1988, Springer-Verlag.
20. Kreyszig E. Advanced engineering mathematics 1999, John Wiley & Sons Inc.
21. Lazar M., Heemels W.P.M.H., Rosel B.J.P., Nijmeijer H., van den Bosch P.P.J. Input-to-state stabilizing sub-optimal NMPC with an application to dc-dc converters. International Journal of Robust and Nonlinear Control 2008, 18:890-904.
22. LEM Manufacturer. (2011). Data sheet of the voltage transducer LV 25-P. http://www.datasheetcatalog.com.
23. Mariethoz, M., Beccuti, A., Papafotiou, G., & Morari, M. (2008). Sensorless explicit model predictive control of the dc-dc buck converter with inductor current limitation. In APEC 2008, In Proceedings of the applied power electronics conference and exposition (APEC) (pp. 1710-1715).
24. Microchip Technology Inc. (2006). PIC24F family reference manual. http://www.microchip.com.
25. Pang Y., Grimble M.J. NGMV control of delayed piecewise affine systems. IEEE Transactions on Automatic Control 2010, 55(12):2817-2821.
26. Rodrigues L., How J.P. Observer-based control of piecewise-affine systems. International Journal of Control 2003, 76:459-477.
27. ROHM Manufacturer. (2010). Data sheet of the Schottky barrier diode RB441Q-40T-77. http://uk.farnell.com.
28. Rupp D., Guzzella L. Adaptive internal model control with application to fueling control. Control Engineering Practice 2010, 18(8):873-881.
29. Sebusang, S. E., & Stoten, D. (1998). Controller gain bounding in the minimal control synthesis algorithm. In Proceedings of thirtieth southeastern symposium on system theory (pp. 141-145).
30. Sedra A., Smith K. Microelectronic circuits 2004, Oxford University Press. 5th ed.
31. Sontag E. Mathematical control theory: Deterministic finite dimensional systems 1998, Springer.
32. Stoten D., Benchoubane H. Robustness of minimal controller synthesis algorithm. International Journal of Control 1990, 51(4):851-861.
33. Tahami, F., Mobed, M., & Molayee, B. (2006). On piecewise affine large-signal modeling of PWM converters. In Proceedings of the IEEE international conference on industrial technology (ICIT) (pp. 1419-1423).
34. Tao, G., & Sang, Q. (2010). Adaptive control of piecewise linear systems: The state tracking case. In Proceedings of the IEEE American control conference (ACC) (pp. 4040-4045).
35. Texas Instruments. (2002). Analysis of the Sallen-Key architecture http://focus.ti.com/lit/an/sloa024b/sloa024b.pdf.
36. Vasak M., Baotic M., Petrivic I., Peric N. Electronic throttle state estimation and hybrid theory based optimal control. In. Proceedings of the IEEE International Symposium on Industrial Electronics 2004, 1:323-328.
37. Zhao J., Hill D.J. Dissipativity theory for switched systems. IEEE Transactions on Automatic Control 2008, 53:941-953.