Abstract—In this paper, the method of complex research of systems with fuzzy P-controller, based on the criteria of absolute stability of VM Popov and the harmonic balance method is presented. A rationality of using of these methods in such systems is explained, taking into account the features of nonlinear transformations in fuzzy P-controller and parameters affecting the character of the nonlinear. By varying the parameters of the nonlinearity, taking into account the influence of the parameters of the nonlinear characteristics of the fuzzy P-controller on the dynamics of the system, the authors have developed a generalized technique of forming a non-linear transformation in the fuzzy P-controller And the examples and simulation results are shown to verify the effectiveness of the proposed methods.
Index Terms—Stability, PID controller, fuzzy P-controller, the stability criteria of VM Popov, the harmonic balance method.
The authors are with the Moscow State University of Radio engineering, Electronics and Automation (MSTU MIREA), 119454 Russia (e-mail: nkazachek@yandex.ru, nkazachek@yandex.ru, sewalkman777@gmail.com).
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Cite: Nina A. Kazachek, Valery M. Lokhin, and Vladimir A. Ryabcov, "Complex Research of Dynamics of Control Systems with Fuzzy P–Controller," International Journal of Materials, Mechanics and Manufacturing vol. 4, no. 2, pp. 140-143, 2016.
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