Sampled-data fuzzy controller for continuous nonlinear systems

Lam, H. K. and Ling, Bingo Wing-Kuen (2008) Sampled-data fuzzy controller for continuous nonlinear systems. IET Proceedings: Control Theory and Applications, 2 (1). pp. 32-39. ISSN 1751-8644

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Official URL: http://dx.doi.org/10.1049/iet-cta:20070126

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 approach

Item Type:Article
Additional Information: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 approach
Keywords:Nonlinear systems
Subjects:H Engineering > H660 Control Systems
H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:2689
Deposited By: Bev Jones
Deposited On:13 Jun 2010 12:51
Last Modified:13 Mar 2013 08:39

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