Foundations of Fuzzy Control - Jantzen J.
Jantzen J.

Foundations of Fuzzy Control

Автор Jantzen J.
Издательство John Wiley & Sons
Год 2007
Формат PDF
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The objective of this textbook is to explain the behaviour of fuzzylogic controllers. Under certain conditions, a fuzzy controller is equivalent to a proportional-integral-derivative (PID) controller. The equivalence enables the use of analysis methods from linear and nonlinear control theory. In the linear domain, PID tuning methods and stability criteria can be transferred to linear fuzzy controllers. The Nyquist plot shows the robustness of different settings of the fuzzy gain parameters. As a result, it can be guaranteed that a fuzzy controller will perform as well as any PID controller. In the nonlinear domain, the stability of four standard control surfaces can be analysed by means of describing functions and Nyquist plots. The self-organizing controller (SOC) has been shown to be a model reference adaptive controller. There is a possibility that a nonlinear fuzzy PID controller performs better than a linear PID controller, but there is no guarantee for the same. Even though a fuzzy controller is nonlinear in general, and commonly built in a trial-and-error fashion, we can conclude that control theory does provide tools for explaining the behaviour of fuzzy-control systems. Further studies are required, however, to find a design method such that a fuzzy-control system exhibits a particular behaviour in accordance with a set of performance specifications.