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Sampled-data fuzzy controller for continuous nonlinear systems

By H. K. Lam and Bingo Wing-Kuen Ling

Abstract

The sampled-data fuzzy control of nonlinear systems is presented. The consequents of the fuzzy controller rules are linear sampled-data sub-controllers. As a result, the fuzzy controller is a weighted sum of some linear sampled-data sub-controllers that can be implemented by a microcontroller or a digital computer to lower the implementation cost. Consequently, a hybrid fuzzy controller consisting of continuous-time grades of memberships and discrete-time sub-controller is obtained. The system stability of the fuzzy control system is investigated on the basis of Lyapunov-based approach. The sampling activity introduces discontinuity to complicate the system dynamics and make the stability analysis difficult. The proposed fuzzy controller exhibits a favourable property to alleviate the conservativeness of the stability analysis. Furthermore, linear matrix inequality-based performance conditions are derived to guarantee the system performance of the fuzzy control system. An application example is given to illustrate the merits of the proposed approac

Topics: H660 Control Systems, H310 Dynamics
Publisher: Institute of Engineering Technology
Year: 2008
DOI identifier: 10.1049/iet-cta:20070126
OAI identifier: oai:eprints.lincoln.ac.uk:2689

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