Self-Tuning Predictive PID Controller Using a Time-Varying Proportional Gain

2014 ◽  
Vol 1049-1050 ◽  
pp. 929-933
Author(s):  
Rong Jia ◽  
Bin Liu ◽  
Kai Fang

This paper proposes a new design method of adaptive GPC-based PID controller. The proportional gain of a PID controller is time-varying, and the PID controller is designed based on strongly stable GPC that is extended by using coprime factorization. Hence, a GPC law can be approximated by the PID controller finely. Finally, the system parameters are updated in real-time to resist to disturbance, by using the RLS method. Simulation examples show the effectiveness of the proposed method.

Author(s):  
S Daley

The application of a fast self-tuning controller to a hydraulic test rig having a predominant natural frequency of the order of 20 Hz is described. The controller is shown to perform well despite the presence of non-linearities, measurement noise and load disturbances. Time-varying system parameters are rapidly compensated for and only minor transients are introduced by the tuning process. A method for assisting the selection of the parameters required for successful self-tuning controller implementation is also demonstrated.


2019 ◽  
Vol 139 (4) ◽  
pp. 356-363
Author(s):  
Yoichiro Ashida ◽  
Shin Wakitani ◽  
Toru Yamamoto

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
XianHong Li ◽  
HaiBin Yu ◽  
MingZhe Yuan

This paper presents a design method of the optimal proportional-integral-derivative (PID) controller withɛ-Routh stability for different processes through Lyapunov approach. The optimal PID controller could be acquired by minimizing an augmented integral squared error (AISE) performance index which contains control error and at least first-order error derivative, or even may containnth-order error derivative. The optimal control problem could be transformed into a nonlinear constraint optimization (NLCO) problem via Lyapunov theorems. Therefore, optimal PID controller could be obtained by solving NLCO problem through interior method or other optimization methods. The proposed method can be applied for different processes, and optimal PID controllers under various control weight matrices andɛ-Routh stability are presented for different processes. Control weight matrix andɛ-Routh stability’s effects on system performances are studied, and different tuning methods’ system performances are also discussed.ɛ-Routh stability’s effects on disturbance rejection ability are investigated, and different tuning methods’ disturbances rejection ability is studied. To further illustrate the proposed method, experimental results of coupled water tank system (CWTS) under different set points are presented. Both simulation results and experiment results show the effectiveness and usefulness of the proposed method.


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