Topics
The research activity is dedicated to:  averaging for switched systems
 dithering
Collaborations
 Stephan Trenn, University of Kaiserslautern, Germany
Abstract
Averaging of fast switching systems is an effective technique used in many engineering applications. Practical stability and control design for a nonsmooth switched system can be inferred by analyzing the smooth averaged system. On the other hand only few formal approaches have been proposed in the literature to deal with the averaging of nonsmooth systems. The dithering, the phasor dynamics and the hybrid framework techniques can be recast and compared by considering pulsemodulated switched linear systems as the common modeling platform.
In particular, dither signals provide an effective way to compensate for nonlinearities
in control systems. Previous studies presents tools for systematic design
of dithered systems, but the results
rely only on a Lipschitz assumption on the nonlinearity, thus they don’t cover
important applications with discontinuities. We obtained initial results on how
to analyze and design dither in nonsmooth systems. In particular, we showed how
a dither relay feedback system can be approximated by a smoothed system, and we
gave guidelines for tuning the amplitude and the period time of the dither
signal, in order to stabilize one class
of particularly interesting nonsmooth systems, namely
relay feedback systems with triangular dither. Then the study of dither signals is enlarged by considering square
and trapezoidal dither; we have shown how the dither shape affects the behavior
of nonsmooth feedback system, differently from the case of dither in Lipschitz
continuous systems. A process used to show the results obtained is the DC/DC
power converter.
PhD Theses
 ongoing
 Elisa Mostacciuolo, PhD student in
Automatic Control, University of Sannio, "Averaging for switched systems".
 2013
 Carmen Pedicini, PhD student in
Automatic Control, University of Sannio, "Averaging for switched systems", cotutor prof. Luigi
Iannelli.
 2007
 Roberto Frasca,
PhD in
Automatic Control, University of Sannio, "Modeling and simulation of
switched electrical networks: A complementarity systems approach",
cotutor prof.
Luigi Iannelli.
Laurea Magistralis Theses  2013
 Elisa Mostacciuolo,
LM Ingegneria Elettronica per l'Automazione e le Telecomunicazioni,
febbraio 2013, "Analisi di tecniche di inseguimento del punto di massima
potenza di moduli fotovoltaici", 110 e lode, corelatori ing. Silvio
Baccari, ing. Giovanna Adinolfi.
 2012
 Mariateresa Cilenti,
LS Ingegneria dell'Automazione, maggio 2012, "Controllo dei LED:
regolazione ottima di flusso luminoso e temperatura", 110 e lode,
corelatore ing. Silvio Baccari.
 2011
 Guido Memmolo, LS Ingegneria dell'Automazione, dicembre 2011, "Controllo di convertitori DCDC Boost per MPPT nei sistemi fotovoltaici".
 Viviana Verdino, L Vecchio Ordinamento
Ingegneria Informatica, giugno 2011, "Modello termoelettrico per il
controllo dei LED", 110 e lode, corelatore ing. Massimo Tipaldi.
Publications
 2013
 L. Iannelli, C. Pedicini, S. Trenn, F. Vasca, "An averaging result for
switched DAEs with multiple modes'', 52nd IEEE Conference on Decision
and Control, Florence, Italy, December 2013, p.
 L. Iannelli, C. Pedicini, S. Trenn, F.
Vasca, "On Averaging for Switched Linear Differential Algebraic
Equations'', European Control Conference, Zurich, July 2013, p.
10231028.
 2012
 C. Pedicini, F. Vasca, L. Iannelli, "The averaging method for control design and stability analysis of practical switched systems", 2012 IEEE MultiConference on Systems and Control,
Dubrovnik, Croatia, October 2012, p. 12851290.
 F. Vasca, L. Iannelli, (eds.),
"Dynamics and Control of Switched Electronic Systems", Advances in
Industrial Control Series, Springer Verlag, Berlin, Germany, 2012, ISBN:
9781447128847,
http://www.springer.com/engineering/control/book/9781447128847
 2011
 C. Pedicini, F. Vasca, L. Iannelli, U. Jonsson, "An Overview on Averaging for Pulsemodulated Switched Systems", 50th IEEE
Conference on Decision and Control, Orlando, FL, USA, December 2011, p.
18601865.
 2008
 2006
 R. Frasca, L. Iannelli, F. Vasca, "Dithered Sliding Mode Control for Switched Systems", IEEE Transactions on Circuits and Systems, part II,
vol. 53, no. 9, September 2006, p. 872876.
 L. Iannelli, K. H.
Johansson, U. Jonsson, F. Vasca, "Averaging of Nonsmooth Systems Using Dither", Automatica, vol. 42, no. 4, April 2006, p. 669676.
 R. Frasca, L. Iannelli, F. Vasca, "Experimental Validation of Dithered Sliding Mode Control for Switched Systems", American
Control Conference, Minneapolis, Minnesota, June 2006, p. 59055910.
 L.
Iannelli, K. H. Johansson, U. Jonsson, F. Vasca, "Subtleties in the
Averaging of Hybrid Systems with Applications to Power Electronics", 2nd
IFAC Conference on Analysis and Design of Hybrid Systems, Alghero,
Sardinia, Italy, June 2006.
 2004
 L.
Iannelli, K. H. Johansson, U. Jonsson, F. Vasca, "On the Averaging of a Class of Hybrid Systems", 43rd IEEE Conference on Decision and Control,
Nassau, Bahamas, December 2004, p. 14001405.
 L.
Iannelli, F. Vasca, "Dithering for Sliding Mode Control of DC/DC Converters", 35th IEEE Power Electronics Specialists Conference, Aachen,
Germany, June 2004.
 L. Iannelli, K. H. Johansson, U. Jonsson,
F. Vasca, "Dither Shape in the Averaging of Switched Systems", American
Control Conference, Boston, Massachussetts, June 2004.
 L.
Iannelli, F. Vasca, "Dither for Chattering Reduction in Sliding Mode Control Systems", IEEE International Symposium on Circuits And Systems,
Vancouver, Canada, vol. IV, May 2004, p. 709712.
 2003
 L. Iannelli, K. H. Johansson, U. Jonsson, F. Vasca, "Dither for Smoothing Relay Feedback Systems", IEEE Transactions on Circuits and
Systems, Part I, vol. 50, no. 8, August 2003, p. 10251035.
 L.
Iannelli, K. H. Johansson, U. Jonsson, F. Vasca, "Effects of Dither Shapes in Nonsmooth Feedback Systems: Experimental Results and Theoretical Insight", 42nd IEEE Conference on Decision and Control,
Maui, Hawai, December 2003, p. 42854290.
 L. Iannelli, K. H. Johansson, U. Jonsson, F.
Vasca, "Practical Stability and Limit Cycles of Dithered Relay Feedback Systems", European Control Conference, Cambridge, UK, September 2003.
