2011
DOI: 10.1109/tfuzz.2010.2103564
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Stability Analysis of Recurrent Fuzzy Systems: A Hybrid System and SOS Approach

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Cited by 14 publications
(6 citation statements)
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“…An SOS approach to polynomial fuzzy control system designs has first presented in [9]- [13]. It can be seen that SOS approaches [9]- [22] provide more extensive and/or relaxed results for the existing LMI approaches [2], [3], [23]- [35] to T-S fuzzy model and control. However, there exists a very few literature on SOSbased robust control designs for polynomial fuzzy systems with uncertainties.…”
Section: Introductionmentioning
confidence: 99%
“…An SOS approach to polynomial fuzzy control system designs has first presented in [9]- [13]. It can be seen that SOS approaches [9]- [22] provide more extensive and/or relaxed results for the existing LMI approaches [2], [3], [23]- [35] to T-S fuzzy model and control. However, there exists a very few literature on SOSbased robust control designs for polynomial fuzzy systems with uncertainties.…”
Section: Introductionmentioning
confidence: 99%
“…Unfortunately, the PDC has been proved to be a conservative approach. The relaxation of the conditions to design the fuzzy stabilizers for Takagi-Sugeno (T-S) fuzzy models has been thoroughly investigated by many authors [1], [4], [6], [8]- [10], [13], [17], [18], [22]- [24], [27]- [31].…”
Section: Introductionmentioning
confidence: 99%
“…In particular, recurrent fuzzy systems are defined by means of linguistic rules with constant gradients as conclusions. Although the model being obtained via expert knowledge or measurement data (see, e.g., Schwung et al (2011)) may capture the plant dynamics reasonably well, simplicity of the rule base comes at the cost of a complicated model structure, which has to be considered for synthesis of stabilizing controllers.…”
Section: Introductionmentioning
confidence: 99%