A New Fuzzy Lyapunov Function for Relaxed Stability Condition of Continuous-Time Takagi-Sugeno Fuzzy Systems.

IEEE Transactions on Fuzzy Systems (Impact Factor: 6.31). 08/2011; 19:785-791. DOI: 10.1109/TFUZZ.2011.2142315
Source: DBLP

ABSTRACT This paper presents a new fuzzy Lyapunov function (FLF) for the stability analysis of continuous-time Takagi-Sugeno (T-S) fuzzy systems. Unlike conventional FLFs, the proposed one depends not only on the fuzzy weighting functions of the T-S fuzzy systems but on their first-order time derivatives as well. Based on the proposed FLF, a sufficient stability condition is derived in the form of linear matrix inequalities, depending on the upper bounds on the second-order time derivative of the fuzzy weighting functions, as well as the first-order ones. Finally, some examples demonstrate that the proposed condition can provide less conservative results than the previous ones in the literature.

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Available from: Young Hoon Joo, Jan 25, 2014
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