Abstract:
The paper presents a passivity framework to analyse the asymptotic stability of zero-steady-state error solutions of fuzzy control systems. Typical two-input-single-outpu...Show MoreMetadata
Abstract:
The paper presents a passivity framework to analyse the asymptotic stability of zero-steady-state error solutions of fuzzy control systems. Typical two-input-single-output fuzzy, controllers (FC) are considered for which we propose a continuous-time single input nonlinear dynamic representation based on a pseudo-derivative of the error. The nonlinear part is a two-input mapping with a set of properties arising from the mini or product-inference rule, as well as properties of the input and output fuzzy sets used. The stability analysis is performed for the class of linear time invariant plant models with PI-like FC, it is based on general results coming from positive real and passive systems, leading to two graphical tests. Hints are given to deal with the case of PD-like FC.
Date of Conference: 05-05 July 1997
Date Added to IEEE Xplore: 06 August 2002
Print ISBN:0-7803-3796-4
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1.
Κ. Liu and F. L. Lewis, "Some issues about fuzzy logic control", Proc. of the 32nd Conference on Decision and Control, pp. 1743-1748, 1993-Dec.
2.
H. Ying, "Explicit structure of the typical two-input fuzzy controllers", Proc. of the 5th IEEE Int. Conf. on Fuzzy Systems, pp. 498-503, 1996-Sept.
4.
C. Mélim and F. Ruiz, "Two-input-single-output fuzzy logic controllers: some global asymptotic stability results", Proc. of the 5th IEEE Int. Conf. on Fuzzy Systems, pp. 406-410, 1996-Sept.
5.
G. Calcev, Passivity approach to fuzzy control systems, 1996.
6.
I. Byrnes, A. Isidori and J. C. Willems, "Passivity feedback equivalence and the global stabilisation of minimum phase nonlinear systems", IEEE Trans. on Automatic Control, vol. AC 36, no. 11, pp. 1228-1240, 1991.
