Robust H_∞ control of uncertain nonlinear systems

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• 作者：Yusun Fu ; Zuohua Tian and Songjiao Shi
• 关键词：Nonlinear system ; Hamilton– ; Jacobi inequality ; Robust ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V21-4K9C6RB-2&_mathId=mml10&_user=10&_cdi=5689&_rdoc=13&_handle=V-WA-A-W-WV-MsS
• 刊名：Automatica
• 出版年：2006
• 出版时间：September 2006
• 年：2006
• 卷：42
• 期：9
• 页码：1547-1552
• 全文大小：241 K

文摘

This paper discusses the robust handle=V-WA-A-W-WV-MsSAYWW-UUA-U-AAZCWVWDCU-AAZWYWBCCU-VWVACACB-WV-U&_acct=C000050221&_version=1&_userid=10&md5=a9451046f5f9430541893287660bd008"" title=""Click to view the MathML source"">L₂-gain performance synthesis problem for a class of uncertain nonlinear systems. It is shown that the Hamilton–Jacobi equation approach to robust handle=V-WA-A-W-WV-MsSAYWW-UUA-U-AAZCWVWDCU-AAZWYWBCCU-VWVACACB-WV-U&_acct=C000050221&_version=1&_userid=10&md5=5f252779a6d45c43b456dc5cfc9a8a7b"" title=""Click to view the MathML source"">H_∞ performance synthesis can be extended to solve this problem. Based on a positive-definite solution of a Hamilton–Jacobi inequality, a sufficient condition is given such that the uncertain nonlinear system is robust and stable and its handle=V-WA-A-W-WV-MsSAYWW-UUA-U-AAZCWVWDCU-AAZWYWBCCU-VWVACACB-WV-U&_acct=C000050221&_version=1&_userid=10&md5=fea6653c42bdf856134c1591104b3e3e"" title=""Click to view the MathML source"">L₂ gain is less than or equal to a prescribed value. Using this condition, a state feedback law and an output feedback law which ensure robust handle=V-WA-A-W-WV-MsSAYWW-UUA-U-AAZCWVWDCU-AAZWYWBCCU-VWVACACB-WV-U&_acct=C000050221&_version=1&_userid=10&md5=5694b6e847f1dee6099314c2061c7480"" title=""Click to view the MathML source"">L₂-gain performance of the closed-loop system are derived. Finally an example is given.