Quadratic stabilisation of switched affine systems

Minqing Xiao, Guisheng Zhai, Chi Huang

研究成果: Article

2 引用 (Scopus)

抜粋

We deal with quadratic stabilisation for switched systems which are composed of a finite set of affine subsystems, where both subsystem matrices and affine vectors in the vector fields are switched independently, and no single subsystem has desired quadratic stability. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law and an output-dependent switching law such that the entire switched system is quadratically stable at the origin. If the convex combination of affine vectors is not zero, we discuss the quadratic stabilisation to a convergence set defined by the convex combination of subsystem matrices and that of affine vectors. We extend the discussion to switched uncertain affine systems with norm bounded uncertainties, and establish a quadratically stabilising state-dependent switching law based on an (Formula presented.) norm condition for a combination of subsystems. Several numerical examples show effectiveness of the results.

元の言語English
ページ(範囲)1-23
ページ数23
ジャーナルJournal of Control and Decision
7
発行部数1
DOI
出版物ステータスPublished - 2020 1 2

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Information Systems
  • Human-Computer Interaction
  • Computer Networks and Communications
  • Control and Optimization
  • Artificial Intelligence

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