Further improved stability criteria for uncertain T-S fuzzy systems with time-varying delay by -delay-partitioning approach

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作者：Jun Yangp>ap>p> ; p>p>yj_uestc@126.com" class="auth_mail" title="E-mail the corresponding authorp> ; Wen-Pin Luop>bp>p> ; p>p>luowenp@126.com" class="auth_mail" title="E-mail the corresponding authorp> ; Yong-Hu Wangp>cp>p> ; p>p>wangyonghucn@163.com" class="auth_mail" title="E-mail the corresponding authorp> ; Jun Chengp>dp>p> ; p>p>jcheng6819@126.com" class="auth_mail" title="E-mail the corresponding authorp>
关键词：Takagi&ndash ; Sugeno (T&ndash ; S) fuzzy systems ; Time-varying Delay ; (mN)(mN)-delay-partitioning approach ; Stability ; Lyapunov&ndash ; Krasovskii functional (LKF) ; Linear matrix inequalities (LMIs) ; Free-Matrix-based integral inequality (FMII)
刊名：ISA Transactions
出版年：2015
出版时间：November 2015
年：2015
卷：59
期：Complete
页码：20-28
全文大小：619 K

文摘

•: <p id="p0005">By introducing a new pan id="mmlsi0026" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0019057815001846&_mathId=si0026.gif&_user=111111111&_pii=S0019057815001846&_rdoc=1&_issn=00190578&md5=ee93813f5569788d69502027086f8843" title="Click to view the MathML source">(m,N)pan>pan class="mathContainer hidden">pan class="mathCode"> $(m, N)$ pan>pan>pan> -delay-partitioning approach that partitions the time-varying delay pan id="mmlsi0028" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0019057815001846&_mathId=si0028.gif&_user=111111111&_pii=S0019057815001846&_rdoc=1&_issn=00190578&md5=db7c43af03fbaf971fb93aab1f2bf504" title="Click to view the MathML source">τ(t)pan>pan class="mathContainer hidden">pan class="mathCode"> $τ (t)$ pan>pan>pan> and its upper bound separately, this paper aims to develop further improved stability criteria for uncertain T–S fuzzy systems with time-varying delay.p>
•: <p id="p0010">An appropriate augmented LKF is established by partitioning the delay in all integral terms, and the pan id="mmlsi0028" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0019057815001846&_mathId=si0028.gif&_user=111111111&_pii=S0019057815001846&_rdoc=1&_issn=00190578&md5=db7c43af03fbaf971fb93aab1f2bf504" title="Click to view the MathML source">τ(t)pan>pan class="mathContainer hidden">pan class="mathCode"> $τ (t)$ pan>pan>pan>-dependent and pan id="mmlsi0029" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0019057815001846&_mathId=si0029.gif&_user=111111111&_pii=S0019057815001846&_rdoc=1&_issn=00190578&md5=c2e8655cb5e5c9b450143fc605812212" title="Click to view the MathML source">[X_ij]_m×mpan>pan class="mathContainer hidden">pan class="mathCode"> ${(pen="[">, X_{ij}]}_{m \times m}$ pan>pan>pan> -dependent sub-LKFs are introduced to the LKF, which make it include more useful augmented state information.p>
•: <p id="p0015">The novel Free-Matrix-based integral inequality has been employed to reduce the enlargement in bounding the derivative of LKF as much as possible, therefore, less conservative results can be achieved in terms of pan id="mmlsi0030" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0019057815001846&_mathId=si0030.gif&_user=111111111&_pii=S0019057815001846&_rdoc=1&_issn=00190578&md5=9776e52a18075e5c2981dc75dd2a6b13" title="Click to view the MathML source">e_span>pan class="mathContainer hidden">pan class="mathCode"> $e_{s}$ pan>pan>pan> and LMIs.p>
•: <p id="p0020">It is worth mentioning that, when the delay-partitioning number m is fixed, the conservatism is gradually reduced with the increase of another delay-partitioning number N, but without increasing any computing burden.p>

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