Abstract
An optimal PID controller with incomplete derivation is proposed based on fuzzy inference and the genetic algorithm, which is called the fuzzy-GA PID controller with incomplete derivation. It consists of the off-line part and the on-line part. In the off-line part, by taking the overshoot, rise time, and settling time of system unit step response as the performance indexes and by using the genetic algorithm, a group of optimal PID parameters K*p, T*i, and T*i are obtained, which are used as the inital values for the on-line tuning of PID parameters. In a on-line part, based on K*p, T*i, and T*d and according to the current system error e and its time derivative, a dedicated program is written, which is used to optimize and adjust the PID parameters on line through a fuzzy inference mechanism to ensure that the system response has optimal dynamic and steady-state performance. The controller has been used to control the D. C. motor of the intelligent bionic artificial leg designed by the authors. The result of computer simulation shows that this kind of optimal PID controller has excellent control performance and robust performance.
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Foundation item: Project (50275150) supported by the National Natural Science Foundation of China and Project (RL200002) supported by the Foundation of the Robotics Laboratory, Chinese Academy of Sciences
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Tan, Gz., Li, Ap. Fuzzy-GA PID controller with incomplete derivation and its application to intelligent bionic artificial leg. J Cent. South Univ. Technol. 10, 237–243 (2003). https://doi.org/10.1007/s11771-003-0016-8
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DOI: https://doi.org/10.1007/s11771-003-0016-8
Key words
- fuzzy inference
- genetic algorithm
- fuzzy-GA PID controller
- incomplete derivation
- off-line
- on-line
- intelligent bionic artificial leg