On gain performance improvement of linear systems with Lyapunov-based reset control

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• 作者：Guanglei Zhao^a ; ^{glzhao517@126.com" class="auth_mail" title="E-mail the corresponding author} ; Jingcheng Wang^b
• 关键词：L2L2 gain ; Lyapunov-based ; Reset rules ; Reset controller ; Observer-based design
• 刊名：Nonlinear Analysis: Hybrid Systems
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：21
• 期：Complete
• 页码：105-117
• 全文大小：673 K

文摘

This paper considers reset rules design for linear systems for the purpose of improving 00133&_mathId=si5.gif&_user=111111111&_pii=S1751570X16000133&_rdoc=1&_issn=1751570X&md5=24de4b0c4979d8675328d55df3edf3bb" title="Click to view the MathML source">L₂${\mathcal{L}}_2$ gain performance. Novel Lyapunov-based reset rules are proposed such that the 00133&_mathId=si5.gif&_user=111111111&_pii=S1751570X16000133&_rdoc=1&_issn=1751570X&md5=24de4b0c4979d8675328d55df3edf3bb" title="Click to view the MathML source">L₂${\mathcal{L}}_2$ gain performance of reset control systems can be improved compared with the stable base systems, and the proposed method is then extended to observer-based design. Moreover, reset rules design for stabilizing unstable base systems are proposed such that prespecified 00133&_mathId=si5.gif&_user=111111111&_pii=S1751570X16000133&_rdoc=1&_issn=1751570X&md5=24de4b0c4979d8675328d55df3edf3bb" title="Click to view the MathML source">L₂${\mathcal{L}}_2$ gain performance can be achieved. Illustrative examples are given to support our results.