Averaging of nonsmooth systems using dither

Automatica

Volumn 42, Issue 4, 2006, Pages 669-676

  Iannelli, Luigi ^a,c,d   Jönsson, Ulf T ^b,e   Vasca, Francesco ^a  

^a UNIVERSITY OF SANNIO   (Italy)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^c IEEE   (United States)

^d IEEE Circuits and Systems Society ^*  (Italy)

^e Division of Optimization and Systems Theory   (Sweden)

Author keywords

Averaging theory; Discontinuous control; Dither; Hybrid systems; Nonsmooth systems; Switched systems

Indexed keywords

AVERAGING THEORY; DISCONTINUOUS CONTROL; DITHER; HYBRID SYSTEMS; NONSMOOTH SYSTEMS; SWITCHED SYSTEMS;

APPROXIMATION THEORY; CONTROL NONLINEARITIES; FEEDBACK; PROBABILITY DENSITY FUNCTION;

NONLINEAR SYSTEMS;

EID: 33144472120     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.12.012     Document Type: Article

References (24)

1. B. Armstrong-Helouvry Control of machines with friction 1991 Kluwer Academic Publisher Boston
2. K.J. Åström, and B. Wittenmark Adaptive control 1989 Addison-Wesley Reading, MA
3. K.L. Chung A course in probability theory 1974 Academic Press Inc Orlando, FL, USA
4. A.F. Filippov Differential equations with discontinuous righthand sides 1988 Kluwer Academic Publishers Dordrecht
5. A.Kh. Gelig, and A. Churilov Stability and oscillations of nonlinear pulse modulated systems 1998 Birkhäuser Berlin
6. R.M. Gray, and D.L. Neuhoff Quantization IEEE Transactions on Information Theory 44 6 1998 2325 2383
7. Iannelli, L. (2002). Dither for smoothing relay feedback systems: An averaging approach. Ph.D. thesis, University of Napoli Federico II, Napoli, Italy 〈http://www.ing.unisannio.it/iannelli/public.htm〉.
8. L. Iannelli, K.H. Johansson, U. Jönsson, and F. Vasca Dither for smoothing relay feedback systems: An averaging approach IEEE Transactions on Circuits and Systems, Part I 50 8 2003 1025 1035
9. Iannelli, L., Johansson, K. H., Jönsson, U., & Vasca, F. (2003b). Effects of dither shapes in nonsmooth feedback systems: Experimental results and theoretical insight. In Proceedings of IEEE conference on decision and control, Maui, Hawaii, USA, December.
10. Iannelli, L., Johansson, K. H., Jönsson, U., & Vasca, F. (2004). On the averaging of a class of hybrid systems. In Proceedings of IEEE conference on decision and control (Vol. 2, pp. 1400-1405), Bahamas, December.
11. B. Lehman, and R. Bass Extensions of averaging theory for power electronics systems IEEE Transactions on Power Electronics 11 4 1996 542 553
12. S. Mossaheb Application of a method of averaging to the study of dither in non-linear systems International Journal of Control 38 3 1983 557 576
13. Peterchev, A. V., & Sanders, S. R. (2001). Quantization resolution and limit cycling in digitally controlled PWM converters. In Proceedings of IEEE power electronics specialists conference, Vancouver, Canada, June.
14. F. Riesz, and B. Sz-Nagy Functional analysis 1990 Dover Publications New York
15. S. Sastry Nonlinear systems: Analysis, stability and control 1999 Springer New York
16. Sedghi, B. (2003). Control design of hybrid systems via dehybridization. Ph.D. thesis, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
17. S.J. Taylor Introduction to measure and integration 1966 Cambridge University Press Cambridge, MA
18. A. Teel, L. Moreau, and D. Nesic Input-to-state set stability of pulse width modulated systems with disturbances Systems and Control Letters 51 2004
19. A.R. Teel, and D. Nesic Averaging with disturbances and closeness of solutions Systems and Control Letters 40 5 2000 317 323
20. Ya.Z. Tsypkin Relay control systems 1984 Cambridge University Press Cambridge, UK
21. V.I. Utkin Sliding modes in control and optimization 1992 Springer Berlin
22. R.L. Wheeden, and A. Zygmund Measure and integral 1977 Marcel Deeker Inc New York, NY, USA
23. G. Zames, and N.A. Shneydor Dither in non-linear systems IEEE Transactions on Automatic Control 21 5 1976 660 667
24. G. Zames, and N.A. Shneydor Structural stabilization and quenching by dither in non-linear systems IEEE Transactions on Automatic Control 22 3 1977 352 361