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Design of PID controller with incomplete derivation based on ant system algorithm
作者姓名:Guanzheng Tan  Qingdong Zeng  Wenbin Li
作者单位:SchoolofInformationScienceandEngineering,CentralSouthUniversity,ChangshaHunan410083,China
基金项目:This work was supported by the National Natural Science Foundation of China (No. 50275150),the Foundation of Robotics Laboratory, Chinese Academy of Sciences( No. RL200002).
摘    要: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 PlD controller, a group of optimal PID controller parameters Kp^*, Ti^*, and Td^* can be obtained by taking the overshoot, settling time, and steady-state error of the system‘s unit step response as the penfomunce indexes and by use of our improved ant system algorithm. Kp^*, Ti^*, and Td^* 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 tunmg methods of PID controller parameters,including the Ziegler-Nichols method (ZN), the genetic algnrithrn (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控制器  不完全导出  蚂蚁系统算法  参数调整  遗传算法  模拟退火

Design of PID controller with incomplete derivation based on ant system algorithm
Guanzheng Tan,Qingdong Zeng,Wenbin Li.Design of PID controller with incomplete derivation based on ant system algorithm[J].Journal of Control Theory and Applications,2004,2(3):246-252.
Authors:Guanzheng Tan  Qingdong Zeng  Wenbin Li
Affiliation:School of Information Science and Engineering, Central South University, Changsha Hunan 410083,China
Abstract: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.
Keywords:PID controller  Incomplete derivation  Parameter tuning  Ant system algorithm  Genetic algorithm  Simulated annealing
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