- Tytuł:
- Quadratic performance analysis of switched affine time-varying systems
- Autorzy:
-
Li, W.
Huang, C.
Zhai, G. - Powiązania:
- https://bibliotekanauki.pl/articles/330032.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
switched affine system
time varying system
quadratic stabilization
tracking
L2 gain
switching law
differential LMIs
observer
system zmienny w czasie
stabilizacja kwadratowa
śledzenie
obserwator - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 429-440
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł