Quadratic Performance Analysis of Switched Affine Time–Varying Systems
| Autor: | Guisheng Zhai, Wenzhi Li, Chi Huang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
observers Applied Mathematics l2 gain 02 engineering and technology QA75.5-76.95 tracking Tracking (particle physics) time-varying systems 020901 industrial engineering & automation Quadratic equation switched affine systems switching law Electronic computers. Computer science 0202 electrical engineering electronic engineering information engineering Computer Science (miscellaneous) QA1-939 Applied mathematics quadratic stabilization 020201 artificial intelligence & image processing Affine transformation Engineering (miscellaneous) differential lmis Mathematics |
| Zdroj: | International Journal of Applied Mathematics and Computer Science, Vol 28, Iss 3, Pp 429-440 (2018) |
| ISSN: | 2083-8492 |
| Popis: | 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 L2gain analysis problem for the switched affine time-varying systems under state feedback. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|