Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
Volume 49, Issue 4, Pages 509-517Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2002.995668
Keywords
Chaotic Lorenz system; fuzzy-model; based control; guaranteed-cost control; intelligent digital redesign; linear matrix inequality; sampled-data control
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In this brief, we develop an intelligent digital redesign method for hybrid state space fuzzy-model-based controllers, effective for stabilization of continuous-time uncertain nonlinear systems under discrete-time controller. Takagi-Sugeno (TS) fuzzy model is used to represent the complex system as multiple and uncertain linear state-space models over different local operating regions. A continuous-time fuzzy-model-based controller is then synthesized for stabilization, where the guaranteed-cost design method is utilized to cope with system uncertainties. The local controllers of the continuous-time fuzzy-model-based controller are then converted to equivalent discrete-time counterparts and aggregated through the fuzzy inference system to give a discrete-time fuzzy-model-based controller. Finally, a TS fuzzy model for the chaotic Lorenz system is used as an illustrative example to show the effectiveness and the feasibility of the developed design method.
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