Quadratic Performance Analysis of Switched Affine Time-Varying Systems

Wenzhi Li, Chi Huang, Guisheng Zhai

研究成果: Article

4 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)429-440
ページ数12
ジャーナルInternational Journal of Applied Mathematics and Computer Science
28
発行部数3
DOI
出版物ステータスPublished - 2018 9 1

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Engineering (miscellaneous)
  • Applied Mathematics

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