Stability analysis of feedback systems with dead-zone nonlinearities by circle and Popov criteria

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• 作者：Masami Saeki¹ ; ^{saeki@hiroshima-u.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Nobutaka Wada ^{nwada@chiroshima-u.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Satoshi Satoh ^{satoh@chiroshima-u.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Stability analysis ; Absolute stability ; Global stability ; Dead zone ; Saturation ; Bounded disturbances
• 刊名：Automatica
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：66
• 期：Complete
• 页码：96-100
• 全文大小：395 K

文摘

A method of global stability analysis is proposed for a feedback system with dead-zone nonlinearities. Using a global property that the output of a saturation function is bounded, the bound on the input to the saturation function is estimated using the thmlsrc">text stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S000510981500552X&_mathId=si13.gif&_user=111111111&_pii=S000510981500552X&_rdoc=1&_issn=00051098&md5=3d7636d8a7b7817273efd461983c78fe" title="Click to view the MathML source">L_∞thContainer hidden">thCode">th altimg="si13.gif" overflow="scroll">L∞th> norm of a linear subsystem. The feedback system can be treated as a feedback system with a narrower sector bound using this method, and a sharper global stability condition is obtained by applying the circle or Popov criterion to the system.