Global tracking passivity-based PI control of bilinear systems: Application to the interleaved boost and modular multilevel converters

Rafael Cisneros (1) , Matteo Pirro (2) , Gilbert Bergna , Roméo Ortega (1) , Gianluca Ippoliti (3) , Marta Molinas (4)

1 L2S - Laboratoire des signaux et systèmes
2 UNIVPM - Università Politecnica delle Marche [Ancona]
3 DIIGA - Dipartimento di Ingegneria Informatica, Gestionale e dell'Automazione
4 NTNU - Norwegian University of Science and Technology [Gjøvik]

This paper deals with the problem of trajectory tracking of a class of bilinear systems with time-varying measurable disturbance, namely, systems of the form View the MathML sourceẋ(t)=[A+∑iui(t)Bi]x(t)+d(t). A set of matrices {A,Bi}{A,Bi} has been identified, via a linear matrix inequality, for which it is possible to ensure global tracking of (admissible, differentiable) trajectories with a simple linear time-varying PI controller. Instrumental to establish the result is the construction of an output signal with respect to which the incremental model is passive. The result is applied to the Interleaved Boost and the Modular Multilevel Converter for which experimental results are given.

Domains: Automatic Control Engineering; Automatic

Rafael Cisneros, Matteo Pirro, Gilbert Bergna, Roméo Ortega, Gianluca Ippoliti, et al.. Global tracking passivity-based PI control of bilinear systems: Application to the interleaved boost and modular multilevel converters. Control Engineering Practice, 2015, 43, pp.109-119. ⟨10.1016/j.conengprac.2015.07.002⟩. ⟨hal-01261637⟩