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|Title:||H2 and Hinfinity control of time-varying delay switched linear systems with application to sampled-data control|
|Authors:||DEAECTO Grace S.; BOLZERN Paolo; GALBUSERA LUCA; GEROMEL José C.|
|Citation:||NONLINEAR ANALYSIS: HYBRID SYSTEMS vol. 22 p. 43-45|
|Type:||Articles in periodicals and books|
|Abstract:||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.|
|JRC Directorate:||Space, Security and Migration|
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