Journal
NONLINEAR DYNAMICS
Volume 76, Issue 1, Pages 23-31Publisher
SPRINGER
DOI: 10.1007/s11071-013-0869-9
Keywords
Lyapunov function; Takagi-Sugeno form; Nonlinear systems; LMI
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Funding
- National Science Council of the Republic of China, Taiwan [NSC 100-2221-E-022-013-MY2, NSC 100-2628-E-022-002-MY2]
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A control system with state feedback controllers, in which the fuzzy Lyapunov approach is developed for the stability criterion, is studied. The proposed intelligent design provides a systematic and effective framework for the control systems. The global nonlinear controller is constructed based on T-S (Takagi-Sugeno) fuzzy controller design techniques, blending all such local state feedback controllers. Based on this design, the stability conditions of a multiple time-delay system are derived in terms of the fuzzy Lyapunov theory. The effectiveness and the feasibility of the proposed controller design method are demonstrated through numerical simulations.
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