Autor:

Li, Wenzhi ; Huang, Chi ; Zhai, Guisheng

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

Quadratic performance analysis of switched affine time-varying systems

Tytuł publikacji grupowej:

AMCS, volume 28 (2018)

Temat i słowa kluczowe:

switched affine systems ; time-varying systems ; quadratic stabilization ; tracking ; L2 gain ; switching law ; differential LMIs ; observers

Abstract:

We analyze quadratic performance for switched systems which are composed of a finite set of affine time-varying subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem has desired quadratic performance. The quadratic performance indexes we deal with include stability, tracking and L2 gain. ; We show that if a linear convex combination of subsystem matrices is uniformly Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched affine system is quadratically stable at the origin. In the case where the convex combination of affine vectors is nonzero, we show that the tracking control problem can be posed and solved using a similar switching strategy. Finally, we consider the L2 gain analysis problem for the switched affine time-varying systems under state feedback.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2018

Typ zasobu:

artykuł

DOI:

10.2478/amcs-2018-0032

Strony:

429-440

Źródło:

AMCS, volume 28, number 3 (2018) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego