H2 and Hinfinity control of time-varying delay switched linear systems with application to sampled-data control

This paper deals with switched linear systems subject to timevarying delay. The main goal is to design state and output feedback switching strategies preserving closed-loop stability and a guaranteed H2 or Hinfinity performance. The switching strategies are based on a generalization of a recent extended version of the small gain theorem and do not require any assumption on the continuity of the delay and its time-variation rate. The key point to obtain the design conditions is the adoption of an equivalent switched linear system where the time-varying delay is modeled as a norm-bounded perturbation. Moreover, with this approach, it is possible to deal with sampled-data control systems. All conditions are formulated in terms of Lyapunov-Metzler inequalities, which allow the maximization of an upper bound on the time-delay preserving stability and guaranteed performance. Numerical examples are discussed in order to illustrate the effectiveness of the design approach.

DEAECTO Grace S.;  BOLZERN Paolo;  GALBUSERA Luca;  GEROMEL José C.; 

2016-08-04

ELSEVIER BV

JRC100389

1751-570X,   

http://www.sciencedirect.com/science/article/pii/S1751570X16000200,    https://publications.jrc.ec.europa.eu/repository/handle/JRC100389,   

10.1016/j.nahs.2016.03.002,