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Design of PID controller with incomplete derivation based on differential evolution algorithm

Journal of Systems Engineering and Electronics 2008年第3期19卷 578-583页

作者： Wu Lianghong Wang Yaonan Zhou Shaowu Tan Wen School of Information and Electric Engineering Hunan Univ. of Science and Technology Xiangtan 411201 P. R. China Coll. of Electric and Information Engineering Hunan Univ. Changsha 410082 P. R. China

To determine the optimal or near optimal parameters of PID controller with incomplete derivation, a novel design method based on differential evolution （DE） algorithm is presented. The controller is called DE-PID controller. To overcome the disadvantages of the integral performance criteria in the frequency domain such as IAE, ISE, and ITSE, a new performance criterion in the time domain is proposed. The optimization procedures employing the DE algorithm to search the optimal or near optimal PID controller parameters of a control system are demonstrated in detail. Three typical control systems are chosen to test and evaluate the adaptation and robustness of the proposed DE-PID controller. The simulation results show that the proposed approach has superior features of easy implementation, stable convergence characteristic, and good computational efficiency. Compared with the ZN, GA, and ASA, the proposed design method is indeed more efficient and robust in improving the step response of a control system.

关键词： PID controller incomplete derivation differential evolution parameter tuning.

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Design of PID controller with incomplete derivation based on ant system algorithm

引用

控制理论与应用（英文版） 2004年第3期2卷 246-252页

作者： Guanzheng TAN Qingdong ZENG Wenbin LI School of Information Science and Engineering Central South UniversityChangsha Hunan 410083China

A new and intelligent design method for PID controller with incomplete derivation is proposed based on the ant system algorithm ( ASA) . For a given control system with this kind of PID controller, a group of optimal PID controller parameters K p * , T i * , and T d * can be obtained by taking the overshoot, settling time, and steady-state error of the system's unit step response as the performance indexes and by use of our improved ant system algorithm. K p * , T i * , and T d * can be used in real-time control. This kind of controller is called the ASA-PID controller with incomplete derivation. To verify the performance of the ASA-PID controller, three different typical transfer functions were tested, and three existing typical tuning methods of PID controller parameters, including the Ziegler-Nichols method (ZN),the genetic algorithm (GA),and the simulated annealing (SA), were adopted for comparison. The simulation results showed that the ASA-PID controller can be used to control different objects and has better performance compared with the ZN-PID and GA-PID controllers, and comparable performance compared with the SA-PID controller.

关键词： PID controller incomplete derivation Parameter tuning Ant system algorithm Genetic algorithm Simulated annealing

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