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 co...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.展开更多
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 ...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.展开更多
An ultra-precision servo control system for MWEDM (micro wire electrical discharge machining) based on piezoelectric ceramic motor drivers was developed. The servo discharge detection adopts an average voltage detecti...An ultra-precision servo control system for MWEDM (micro wire electrical discharge machining) based on piezoelectric ceramic motor drivers was developed. The servo discharge detection adopts an average voltage detection method, utilizes statistical methods to analyze the measured data, then controls discharge gap and makes the process more stable. The servo feed system based on DSP microprocessors applies a PID controller with incomplete derivation to reduce overshoot to improve machining accuracy, and also adopts adaptive dead-zone inverse compensation to eliminate dead-zone caused by piezoelectric ceramic motions in low servo feed speed. The simulation results show that the methods proposed in this paper can make the system recover its linearity and converge the dead-zone parameters. It is proved that the method proposed is efficient in solving this problem. Cooperating with a micro energy pulse generator, this equipment’s machining accuracy is smaller than ±0.2 micron, and surface roughness Ra is less than 0.1 micron. Punch die and cavity die (micro gear die, module 100 micron, thickness 3.5 millimeter) have been machined independently in two die steel work-pieces. These pieces can mate very well to work, which shows that the servo control system satisfies the need of MWEDM for high precision micro fabrication.展开更多
基金the National Natural Science Foundation of China (60375001)the Scientific Research Foundation of Hunan Provincial Education Department (05B016).
文摘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.
基金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).
文摘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.
文摘An ultra-precision servo control system for MWEDM (micro wire electrical discharge machining) based on piezoelectric ceramic motor drivers was developed. The servo discharge detection adopts an average voltage detection method, utilizes statistical methods to analyze the measured data, then controls discharge gap and makes the process more stable. The servo feed system based on DSP microprocessors applies a PID controller with incomplete derivation to reduce overshoot to improve machining accuracy, and also adopts adaptive dead-zone inverse compensation to eliminate dead-zone caused by piezoelectric ceramic motions in low servo feed speed. The simulation results show that the methods proposed in this paper can make the system recover its linearity and converge the dead-zone parameters. It is proved that the method proposed is efficient in solving this problem. Cooperating with a micro energy pulse generator, this equipment’s machining accuracy is smaller than ±0.2 micron, and surface roughness Ra is less than 0.1 micron. Punch die and cavity die (micro gear die, module 100 micron, thickness 3.5 millimeter) have been machined independently in two die steel work-pieces. These pieces can mate very well to work, which shows that the servo control system satisfies the need of MWEDM for high precision micro fabrication.
