The Second-Order Equivalent Approximation of PID Control System Based on Dominant Pole Placement

2022 ◽  
pp. 1269-1275
Author(s):  
Yifei Liu ◽  
Huanchao Du ◽  
Ying Liu ◽  
Suikang Li
Keyword(s):  
Control System ◽  
Pid Control ◽  
Second Order ◽  
Pole Placement ◽  
Dominant Pole

Research on Driving System of Battery Machinery Based on PID Controlling

2012 ◽  
Vol 271-272 ◽  
pp. 1619-1622
Author(s):  
Chun Hui Li ◽  
Shao Hua Kang ◽  
Tie Zhuang Wu
Keyword(s):  
Control System ◽  
Dynamic Response ◽  
Dynamic Characteristics ◽  
Pid Control ◽  
Control Algorithm ◽  
Second Order ◽  
Driving System ◽  
Dominant Pole ◽  
Pole Theory

In order to improve the dynamic characteristics and stabliness of control system battery machinery, speed regulating controller uses an improved incremental digital PID.PID parameters is followed the dominant pole theory and the second-order best theory. The simulation of DC electromotor is rapid dynamic response, stability, the smaller overshoot. The experiment proves that battery machinery can work stably and reliably. Therefore, the PID control algorithm of machinery truck driving system is feasible.

scholarly journals An Improved Analytical Tuning Rule of a Robust PID Controller for Integrating Systems with Time Delay Based on the Multiple Dominant Pole-Placement Method

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1449 ◽  
Author(s):  
Wei Zhang ◽  
Yue Cui ◽  
Xiangxin Ding
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Second Order ◽  
Pole Placement ◽  
Tuning Parameter ◽  
Third Order ◽  
Placement Method ◽  
The Third ◽  
Dominant Pole ◽  
Fifth Order

An improved analytical tuning rule of a Proportional-Integral-Derivative (PID) controller for integrating systems with time delay is proposed using the direct synthesis method and multiple dominant pole-placement approach. Different from the traditional multiple dominant pole-placement method, the desired characteristic equation is obtained by placing the third-order dominant poles at −1/λ and placing the second-order non-dominant poles at −5/λ (λ is the tuning parameter). According to root locus theory, the third-order dominant poles and the second-order non-dominant poles are nearly symmetrically located at the two sides of the fifth-order dominant poles. This makes the third-order dominant poles closer to the imaginary axis than the fifth-order dominant poles, which means that, possibly, better performances can be achieved. Analytical formulas of a PID controller with a lead-lag filter are derived. Simple tuning rules are also given to achieve the desired robustness, which is measured by the maximum sensitivity (Ms) value. The proposed method can achieve better performances and maintain better performances when there exist parameters’ perturbation compared with other methods. Simulations for various integrating processes as well as the nonlinear continuous stirred tank reactor (CSTR) model illustrate the applicability and effectiveness of the proposed method.

scholarly journals Optimal Robust PID Control for First- and Second-Order Plus Dead-Time Processes

2019 ◽  
Vol 9 (9) ◽  
pp. 1934 ◽  
Author(s):  
Takao Sato ◽  
Itaru Hayashi ◽  
Yohei Horibe ◽  
Ramon Vilanova ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Pid Control ◽  
Dead Time ◽  
Design Method ◽  
Second Order ◽  
Process Models ◽  
Second Step ◽  
Reference Tracking ◽  
First Order ◽  
Pid Tuning

The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.

Non-overshooting control of linear system by a simple asymptotic gain scheduling method

2019 ◽  
Vol 41 (15) ◽  
pp. 4187-4196
Author(s):  
Huanchao Du ◽  
Xiaoguang Hu ◽  
Chaoqun Ma
Keyword(s):  
Control System ◽  
Gain Scheduling ◽  
Pole Placement ◽  
Step Response ◽  
Pid Controllers ◽  
Phase Lag ◽  
Proportional Integral Derivative ◽  
Closed Loops ◽  
Dominant Pole ◽  
Scheduling Method

In this paper, a simple yet effective method has been raised for non-overshooting control of linear higher order plant. It is based on Posicast control, asymptotic gain scheduling and dominant pole placement by modified proportional-integral-derivative (PID) controllers, including PI-D, I-PD, PI-PD and PD-PID. The control system is composed by two closed-loops, that is, the inner loop where modified PID controllers are used to stabilize the plant by dominant pole placement, and the outer loop where asymptotic gain scheduling is used to shape the non-overshooting step response. Use of the modified PID controllers is the key to secure success of asymptotic gain scheduling, for dominance of the specified poles and phase lag dominant pole control system can be designed by these controllers in the inner loop. Three numerical examples are used to validate the method; results show that a non-overshooting control with relatively short settling time and small undershoot can be realized.

ТHE DIGITAL REGULATOR IN THE CONTROL SYSTEM WITH ASTATISM OF THE SECOND ORDER WITH TIME-LAG

2015 ◽  
Vol 19 (95) ◽  
pp. 286-290
Author(s):  
Olga B. Babiychuk ◽  
◽  
Sergej A. Bobrikov ◽  
Anastasija A. Lopatinskaya ◽  
Evgenij D. Pichugin ◽  
...  
Keyword(s):  
Control System ◽  
Time Lag ◽  
Second Order
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