Topics
The research activity is dedicated to the analysis of the complemenatity framework for:  modeling of switched electronic systems (power converters, in particular)
 computation of steady state solutions in switched systems and limit cycles in Lur'e systems
 Kanat Camlibel, University of Groningen, The Netherlands
The classic approaches for modeling and
simulating power converters (averaged, switched and hybrid models) and the
commercial tools available (e.g. PSpice, Power System Blockset in the Matlab environment, PLECS) often do not allow the analysis of nonstandard innovative
converter topologies or operating conditions. The
problem is tackled by using the complementarity systems theory. The complementarity
approach, coming from the nonsmooth mechanics, allows to model the electronic
devices by using piecewise affine characteristics, and then integrating them
with detailed models of the converter and the network. The complementarity
framework allows the formal and simulation analysis of innovative power
converters topologies and electrical networks in terms of dynamic performance, failure
and fault conditions, high frequency phenomena, switching behavior of the
converters, frequency domain response. Further, the complementarity approach with
respect to simulation tools based on standard hybrid models, it also allows to
gain in terms of simulation time and numerical convergence. A similar approach to that used for the computation of steady state solutions for switched electronic systems can be used for the computation of limit cycles in Lur'e systems. It can be shown that the complementarity representation of the feedback characteristic allows to represent the discretized closed loop system as a linear complementarity system. A static linear complementarity problem, whose solutions correspond to periodic solutions of the discrete–time system, can then be formulated. The proposed technique is able to compute steady state oscillations with known period for continuous–time systems, so as demonstrated by simulation results on Lur’e systems which exhibit asymmetric unstable and sliding limit cycles. PhD Theses
 ongoing
 Valentina Sessa, PhD student in
Automatic Control, University of Sannio, "Limit cycles computation via complementarity models", cotutor prof. Luigi
Iannelli.
 2011
 Gianluca Angelone,
PhD in Automatic Control, University of Sannio, "Steadystate analysis
for switched electronic systems through complementarity", 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  2011
 Maurizio Zoppi,
LS Ingegneria dell'Automazione, ottobre 2011, "Complementary model and
minimum energy control for switched capacitor converters", 110 e lode,
corelatore ing. Gianluca Angelone.
Publications 2012
 V. Sessa, L. Iannelli, F. Vasca, "Mixed Linear Complementarity Problems for the Analysis of Limit Cycles in Piecewise Linear Systems", 51st IEEE Conference on Decision and
Control, Maui, Hawaii, December 2012, p. 10231028.
 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
 L. Iannelli, F. Vasca,
G. Angelone, "Computation of Steady State Oscillations in Power Converters Through Complementarity", IEEE Transactions on Circuits and
Systems, vol. 58, no. 6, June 2011, p. 14211432.
 L. Iannelli, F.
Vasca, V. Sessa, "Computation of Limit Cycles in Lur'e Systems",
American Control Conference, San Francisco, California, USA, June 2011,
p. 14021407.
 G. Angelone, F. Vasca, L. Iannelli, "Linear Complementarity Models for Steadystate Analysis of Pulsewidth Modulated Switched Electronic Systems", 19th Mediterranean Conference on
Control and Automation, Corfu, Greece, June 2011, p. 400405.
 2009
 F.
Vasca, M. K. Camlibel, L. Iannelli, R. Frasca, "A new perspective for modeling power electornics converters: complementarity framework", IEEE
Transactions on Power Electronics, vol. 24, no. 2 , February 2009, p.
456468.
 L.
Iannelli, F. Vasca, "Cyclic Steady State Behavior of Switched Electronic Systems", 48th IEEE Conference on Decision and Control,
Shangai, China, December 2009, p. 65496554.
 F. Vasca, L.
Iannelli, G. Angelone, "Steady State Analysis of Power Converters via a Complementarity Approach", European Control Conference, Budapest,
Hungary, August 2009, p. 35873592.
 2008
 L.
Iannelli, F. Vasca, "Computation of Limit Cycles and Forced Oscillations in Piecewise Linear Feedback Systems Through a Complementarity Approach", 47th IEEE Conference on Decision and Control,
Cancun, Mexico, December 2008, p. 11691174.
 L. Iannelli, F.
Vasca, "Analysis of Periodic Solutions in Piecewise Linear Feedback System via a Complementarity Approach", IFAC World Conference, Seoul,
Korea, June 2008.
