Independent of delay stability criteria for uncertain linear state space models
Automatica (Journal of IFAC)
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
IEEE Transactions on Fuzzy Systems
Modeling, identification, and control of a class of nonlinear systems
IEEE Transactions on Fuzzy Systems
Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays
IEEE Transactions on Fuzzy Systems
Delay-Dependent Robust Control for T–S Fuzzy Systems With Time Delay
IEEE Transactions on Fuzzy Systems
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This paper concerns a problem of delay-dependent stability of a class of nonlinear continuous-time systems with time delays, based on the fuzzy hyperbolic model (FHM). FHM is a universal approximator, and can be used to establish the model for unknown complex systems. Moreover, the main advantage of using FHM over T-S fuzzy model is that no premise structure identification is need and no completeness design of premise variables space is need. Also an FHM is a kind of valid global description and nonlinear model inherently. The proposed method is addressed by solving a set of linear matrix inequalities (LMIs). A general Lyapunov-Krasovskii functional are used and some additional free-weighting matrices, which bring much flexibility in solving LMIs, are introduced during the proof. The results then have easily been extended to a system with either polytopic-type or norm-bounded uncertainties. A simulation example is given to validate the proposed results.