Stability analysis of fuzzy control for a class of complex nonlinear systems

被引:0
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作者
Wang, Yan [1 ]
Zhang, Qing-Ling [1 ]
Liu, Xiao-Dong [1 ]
Duan, Xiao-Dong [1 ]
机构
[1] Sch. of Sci., Northeastern Univ., Shenyang 110004, China
关键词
Mathematical models - Nonlinear systems - Stability - Uncertain systems;
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摘要
The stability problem of a class of complex nonlinear systems represented by a discrete-time dynamical fuzzy model was studied. First, a PDC fuzzy controller was designed to stabilize the model. Then, based on interval theory, two sufficient conditions for the asymptotic stability of the fuzzy system were given in the sense of the quadratic stability of the uncertain linear system. The latter condition was converted to the solvability of a linear matrix inequality.
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页码:718 / 721
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