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-1.5 -1 -0.5 0 0.5 1 1.5
-1.5
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error
error rate
Figure 4: Control surface and sliding surface for an
ASMFC controller with only 9 fuzzy if-then rules.
5 CONCLUSIONS
In this short article an adaptive sliding mode fuzzy
control approach is proposed with some analysis of
its property for addressing nonlinear control
problems. This approach combines the concept of a
branch of nonlinear control theory, namely SMC,
and that of a fuzzy inference system that can
uniformly approximate any nonlinear function with
arbitrary degree of accuracy. In this sense, global
stability of the control system designed by this
approach can be mathematically established (Jang,
1992b; Hung, Gao and Hung, 1993; Slotine and Li,
1991). Nevertheless, be aware that the presented
approach seems only applicable to the class of
nonlinear systems over which the feedback
linearization technique can be performed.
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AN ADAPTIVE SLIDING-MODE FUZZY CONTROL (ASMFC) APPROACH FOR A CLASS OF NONLINEAR
SYSTEMS
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