Title :
On the computation of ℓ∞ gains of switched systems
Author :
Voulgaris, Petros G.
Author_Institution :
Coordinated Sci. Lab., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
Abstract :
In this paper we compute ℓ∞ and ℓ1 induced norm bounds of switched linear systems. In particular, we concentrate on certain types of such systems, namely output switching, input switching, and combinations thereof, and we provide exact gains for the worst case switching. As an application of the input output approach of the paper, we consider the problem of sensitivity minimization and show that it is convex in the Youla et.al.-Kucera parameter.
Keywords :
linear systems; minimisation; time-varying systems; ℓ∞ gains computation; ℓ1 induced norm bounds; Youla parameterization; Youla-Kucera parameter; input output approach; input switching; output switching; sensitivity minimization; switched linear system; worst case switching; Linear systems; Minimization; Sensitivity; Switched systems; Switches; Switching systems; ℓ∞ induced; Youla parameterization; switching;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160614
