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  • 标题:Limit cycle global asymptotic stability of continuous-time switched affine systems ⁎
  • 本地全文:下载
  • 作者:Lucas N. Egidio ; Grace S. Deaecto ; José C. Geromel
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:2
  • 页码:6121-6126
  • DOI:10.1016/j.ifacol.2020.12.1689
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis paper treats global asymptotic stability of a limit cycle, determined by the designer, for continuous-time switched affine systems, taking into account sampled and non-sampled switching rules. More specifically, our goal is to design a state-dependent switching function assuring global asymptotic stability of a limit cycle, which is determined from criteria of interest related to the system steady-state response. The conditions, expressed in terms of differential linear matrix inequalities, are based on a time-varying quadratic Lyapunov function and take into account a guaranteed cost, which assures a suitable performance level for the system transient response. These conditions can be converted into two linear matrix inequalities, making the problem simple-to-solve. An academic example is used for validation and comparison.
  • 关键词:KeywordsSwitched affine systemssampled-data switching functionlimit cycle global asymptotic stabilitycontinuous-time
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