Use of sliding mode controller functions in a TSK-type FLC

Min Xu; Samuel M. Smith

doi:10.1117/12.211807

13 June 1995 Use of sliding mode controller functions in a TSK-type FLC

Min Xu, Samuel M. Smith

Proceedings Volume 2493, Applications of Fuzzy Logic Technology II; (1995) https://doi.org/10.1117/12.211807
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

In this paper, a TSK type fuzzy logic controller (FLC) with sliding mode controllers (SMC) as its rule consequents is developed, namely a fuzzy sliding controller (FSC). As FSC is a nonlinear controller and its parameters can be easily decided through an analysis of the desired slope and the boundary layer's thickness of the SMC in different regions in the state space. Moreover, the FSC can provide a nonlinear static mapping with fewer rules, and its stability can be analyzed through the sliding condition of the SMC. The derivation of gradient descent based update equations for learning the parameters in each rule of the FSC is included in this paper. Simulation results with an inverted pendulum model are presented. Comparisons between the FSC and a TSK type FLC with linear output functions are also included in this paper.

Citation Download Citation

Min Xu and Samuel M. Smith "Use of sliding mode controller functions in a TSK-type FLC", Proc. SPIE 2493, Applications of Fuzzy Logic Technology II, (13 June 1995); https://doi.org/10.1117/12.211807

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