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A New Fuzzy PID Control System Based on Fuzzy PID Controller and Fuzzy Control Process
International Journal of Fuzzy Systems, 2020In this paper, we present a fuzzy PID control system as a combination of a fuzzy PID controller and a fuzzy control process, which is represented by a fuzzy control differential equation in linear form. We use the concepts of the generalized Hukuhara differentiability and the fuzzy integral of fuzzy-valued functions to study some qualitative properties
N Senu, Ali Ahmadian, Phu Nguyen Dinh
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An Improved Robust Fuzzy-PID Controller With Optimal Fuzzy Reasoning
IEEE Transactions on Systems, Man, and Cybernetics, 2005Many fuzzy control schemes used in industrial practice today are based on some simplified fuzzy reasoning methods, which are simple but at the expense of losing robustness, missing fuzzy characteristics, and having inconsistent inference. The concept of optimal fuzzy reasoning is introduced in this paper to overcome these shortcomings.
Han-Xiong Li, Guanrong Chen
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Abstract In this paper an uncertain dynamical system is investigated in which the coefficients are as a class of fuzzy sets and the fuzzy derivative is considered as the granular derivative. Furthermore, the notions of granular second order derivative of a fuzzy function, fuzzy overshoot, fuzzy rise-time, and fuzzy peak-time are introduced.
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Stability of fuzzy PID controllers
IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 1998In this paper, the stability of fuzzy PID controllers is studied. Using the passivity theorem, the stability region of the effective PID parameters can be derived and hence some sufficient conditions for a stable fuzzy controller can be obtained. With these conditions satisfied, a stable set of fuzzy rules can be designed easily.
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