<i>L</i>₂-Gain Analysis of Piecewise Affine Systems via Piecewise Quadratic Storage Functions

• MORINAGA Eiji

  Graduate School of Engineering, Osaka University

• HIRATA Kenji

  Graduate School of Engineering, Osaka University

Bibliographic Information

Other Title

• 区分的二次な蓄積関数による区分的アフィンシステムの<i>L</i>₂ゲイン解析
• L2-Gain Analysis of Piecewise Affine Systems via Piecewise Quadratic Storage Functions

Abstract

The class of piecewise affine systems (PASs), which is a typical subclass of hybrid systems, is useful to describe dynamics of many kinds of real-world systems. Although the class has recently attracted much attention, there has not been enough results on analysis and control of the systems. This paper considers L₂-gain analysis problem for PASs whose dynamics switch depending not only on their states but also on exogenous inputs. The class of piecewise quadratic functions is adopted to construct storage functions, and an analysis condition is given via the functions.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 40 (4), 405-414, 2004

  The Society of Instrument and Control Engineers

Keywords

• piecewise affine systems
• <i>L</i>₂-gain analysis
• dissipativity
• saturated systems

Details

• CRID: 1390001204502414080
• NII Article ID: 130003971353
• DOI: 10.9746/sicetr1965.40.405
• ISSN: 18838189
• ISSN: 04534654
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/40/4/40_4_405/_pdf
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed