Title :
On the interplay between periodic switches and uncontrolled jumps in linear discrete-time systems
Author :
Bolzern, Paolo ; Colaneri, Patrizio
Author_Institution :
Dipt. di Electron., Inf. e Bioingegneria, Politec. di Milano, Milan, Italy
Abstract :
This paper deals with the analysis of stability and the characterization of input-output norms for dual switching linear systems in discrete-time. These systems are subject to two independent switching signals, taking values in finite sets, coming from different sources. The first switching signal is periodic while the second is uncontrolled and generate parameter jumps which are either completely arbitrary or satisfy a prescribed dwell-time constraint. The overall system is a linear time-varying system exhibiting a complex dynamic behavior due to the interplay between the periodic switches and the uncontrolled jumps. LMI conditions for stability and guaranteed H2 norm input/output performances are provided. The results are obtained by merging the theory of linear periodic systems with recent developments on switched linear time-invariant systems.
Keywords :
discrete time systems; linear matrix inequalities; linear systems; periodic control; stability; time-varying systems; LMI conditions; complex dynamic behavior; dual switching linear systems; dwell-time constraint; input-output norms; linear discrete-time systems; linear periodic systems; linear time-varying system; parameter jumps; periodic switches; switched linear time-invariant systems; uncontrolled jumps; Asymptotic stability; Lyapunov methods; Stability criteria; Switched systems; Switches; Upper bound; Dwelltime; H2 norm; Periodic systems; Stability; Switched systems;
Conference_Titel :
Control Conference (ECC), 2013 European
