scholarly journals Improved Continuous-Cycling Method for PID Autotuning

Processes ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 509
Author(s):  
Kyeong Hoon Kim ◽  
Jeong Eun Bae ◽  
Syng Chul Chu ◽  
Su Whan Sung
Keyword(s):  
Time Delay ◽  
Frequency Response ◽  
Phase Angle ◽  
Pid Controller ◽  
Phase Shifter ◽  
Experimental Studies ◽  
Proportional Integral Derivative ◽  
Modeling Error ◽  
Continuous Cycling ◽  
Proportional Controller

An improved continuous-cycling method is proposed for the autotuning of the proportional–integral–derivative (PID) controller. The proposed method can identify the frequency response of the process at a preset phase angle without a modeling error. Moreover, it provides an exact frequency response even if a static disturbance is present. The proposed method is an improved version of the continuous-cycling method. The gain of the proportional controller in the continuous-cycling method is updated to obtain the continuous-cycling status automatically. To guarantee the preset phase angle of the frequency response, we place a phase shifter in the form of a time delay after the proportional controller. The results of simulation and experimental studies show that the proposed method can provide an exact frequency response even under static disturbance conditions and can be applied to real processes.

scholarly journals Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Linlin Ou ◽  
Yuan Su ◽  
Xuanguang Chen
Keyword(s):  
Time Delay ◽  
Frequency Response ◽  
Pid Controller ◽  
Model Identification ◽  
Delay System ◽  
Free Time ◽  
Delay Systems ◽  
Computationally Efficient ◽  
Response Data ◽  
Model Free

For model-free time-delay systems, an analytical method is proposed to characterize the stabilizing PID region based on the frequency response data. Such characterization uses linear programming which is computationally efficient. The characteristic parameters of the controller are first extracted from the frequency response data. Subsequently, by employing an extended Hermite-Biehler theorem on quasipolynomials, the stabilizing polygon region with respect to the integral and derivative gains(kiandkd)is described for a given proportional gain(kp)in term of the frequency response data. Simultaneously, the allowable stabilizing range ofkpis derived such that the complete stabilizing set of the PID controller can be obtained easily. The proposed method avoids the complexity and inaccuracy of the model identification and thus provides a convenient approach for the design and tuning of the PID controller in practice. The advantage of the proposed algorithm lies in that the boundaries of the stabilizing region consist of several simple straight lines, the complete stabilizing set can be obtained efficiently, and it can be implemented automatically in computers.

The Parameterization of All Plants Stabilized by Proportional Controller Formultiple-Input/Multiple-Output Plant

2011 ◽  
Vol 497 ◽  
pp. 246-254
Author(s):  
Takaaki Hagiwara ◽  
Kou Yamada ◽  
Satoshi Aoyama ◽  
An Chinh Hoang
Keyword(s):  
Pid Controller ◽  
Multiple Input Multiple Output ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Proportional Controller

In this paper, we examine the parameterization of all plants stabilized by a proportionalcontroller for multiple-input/multiple-output plant. A proportional controller is a kind of Proportional-Integral-Derivative (PID) controllers. PID controller structure is the most widely used one in industrialapplications. Recently, if stabilizing PID controllers for the plant exist, the parameterization of allstabilizing PID controllers has been considered. However, no paper examines the parameterizationof all plants stabilized by a PID controller. In this paper, we clarify the parameterization of all plantsstabilized by a proportional controller for multiple-input/multiple-output plant. In addition, we presentthe parameterization of all stabilizing proportional controllers for the plant stabilized by a proportionalcontroller.

scholarly journals A Tuning Method for PID Controller for an Integrating System with Time Delay

2018 ◽  
Vol 249 ◽  
pp. 03007
Author(s):  
Haitao Sun ◽  
Mohannad Jabbar Mnati ◽  
Mohamed N. Ibrahim ◽  
Alex Van den Bossche
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Mathematic Model ◽  
Current Control ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Tuning Method ◽  
Tuning Methods ◽  
Integrating Process ◽  
System With Time Delay

A proportional integral derivative (PID) controller is the most commonly used in integrating process, where the time delay is inevitable. In order to tune a PID controller, several factors should be taken into account such as time delay, mathematic model and the feedback signals. Some existed tuning methods failed to obtain the correct parameters with all the factors. The proposed tuning method presents some formulas, which considers all the factors. The proposed tuning method is also tested by practical circuit, which proved that the method can be applied for several cases, especially for the inductor current control.

scholarly journals Ziegler-Nichols Based Proportional-Integral-Derivative Controller for a Line Tracking Robot

2018 ◽  
Vol 9 (1) ◽  
pp. 221 ◽  
Author(s):  
Kim Seng Chia
Keyword(s):  
Pid Controller ◽  
Control Strategies ◽  
Tracking Task ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Pid Algorithm ◽  
Tracking Process ◽  
Line Tracking ◽  
Proportional Controller

<p>Line tracking robots have been widely implemented in various applications. Among various control strategies, a proportional-integral-derivative (PID) algorithm has been widely proposed to optimize the performance of a line tracking robot. However, the motivation of using a PID controller, instead of a proportional (P) or a proportional-integral (PI) controller, in a line tracking task has seldom been discussed. Particularly, the use of a systematic tuning approach e.g. closed loop Ziegler Nichols rule to optimize the parameters of a PID controller has rarely been investigated. Thus, this paper investigates the performance of P, PI, and PID controllers in a line tracking task, and the ability of Ziegler Nichols rule to optimize the parameters of the P, PI, and PID controllers. First, the ultimate gain value, K<sub>u</sub> and ultimate period of oscillation, P<sub>u</sub> were estimated using a proposed approach. Second, the values of K<sub>P</sub>, K<sub>I</sub> and K<sub>D</sub> were estimated using the Ziegler Nichols formulae. The performance of a differential wheeled robot in the line tracking task was evaluated using three different speeds. Results indicate that the Ziegler Nichols rule coupled with the proposed method is able to identify the parameters of the P, PI, and PID controllers systematically in the line tracking task. Findings indicate that the mobile robot coupled with a proportional controller achieved the best performance compared to PI and PID controllers in the line tracking process when the estimated initial parameters were used.</p>

scholarly journals PID Controller Design for Tito Processes Based on IMC and Smith Predictor Configuration

2019 ◽  
Vol 8 (2S3) ◽  
pp. 1060-1063
Keyword(s):  
Time Delay ◽  
Disturbance Rejection ◽  
Pid Controller ◽  
Controller Design ◽  
Smith Predictor ◽  
Proportional Integral Derivative ◽  
Point Tracking ◽  
Pid Controller Design ◽  
Reduced Time

This paper describes the design of Proportional-Integral-Derivative (PID) controller for two variable processes where the two variables need to control. Design of controllers for such a process is too difficult than single variable processes because of interrelations between the two variables present in the system. Hence, the design approach should include the interrelations of the variables to achieve better performance of the processes. In addition to this, the time delay of the processes is also considered and Smith Predictor (SP) configuration is used to reduce the delay in the processes. For the resultant reduced time delay processes, an IMC approach is used to design PID controller. The proposed control system improves both the servo (set point tracking) and regulatory (disturbance rejection) performance of the system. The proposed configuration is also validated using a case study. The simulation results are presented and compared with the other similar approaches to show the efficacy of the proposed method.

Delay margin computation of generator excitation control system by using fractional order controller

2020 ◽  
Vol 42 (13) ◽  
pp. 2465-2474
Author(s):  
Halil Erol
Keyword(s):  
Control System ◽  
Time Delay ◽  
Fractional Order ◽  
Pid Controller ◽  
Excitation Control ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral ◽  
Generator Excitation Control ◽  
Delay Margin

This article is devoted to stability analysis of generator excitation control system that has some time delay with fractional order proportional integral derivative controller by using direct method. When the time delay exceeds certain critical values, the excitation control system becomes unstable. In order to obtain more delay margin, in control part of the system, fractional order proportional integral derivative controller is used. A formulation is obtained to find out the maximum time delay which is known as delay margin with which the system can tolerate without any loss in its stability. All the possible stability regions analytically in the parametric space of the time delay is obtained by using an exact method and it is presented in this study. The method is formulated in frequency domain. The time-domain simulations are implemented to validate theoretical delay margin results in Matlab/Simulink. When it is compared with previous researches in literature, better stability margin is obtained. The results have shown that fractional order PID controller gives wide stability area than integer order PID controller.

Optimal tuning of PID controller in time delay system: a review on various optimization techniques

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Thomas George ◽  
V. Ganesan
Keyword(s):  
Time Delay ◽  
Pid Control ◽  
Pid Controller ◽  
Optimization Techniques ◽  
Operating Conditions ◽  
Delay Systems ◽  
Pid Controllers ◽  
Time Delay Systems ◽  
Process Industries ◽  
First Order

AbstractThe processes which contain at least one pole at the origin are known as integrating systems. The process output varies continuously with time at certain speed when they are disturbed from the equilibrium operating point by any environment disturbance/change in input conditions and thus they are considered as non-self-regulating. In most occasions this phenomenon is very disadvantageous and dangerous. Therefore it is always a challenging task to efficient control such kind of processes. Depending upon the number of poles present at the origin and also on the location of other poles in transfer function different types of integrating systems exist. Stable first order plus time delay systems with an integrator (FOPTDI), unstable first order plus time delay systems with an integrator (UFOPTDI), pure integrating plus time delay (PIPTD) systems and double integrating plus time delay (DIPTD) systems are the classifications of integrating systems. By using a well-controlled positioning stage the advances in micro and nano metrology are inevitable in order satisfy the need to maintain the product quality of miniaturized components. As proportional-integral-derivative (PID) controllers are very simple to tune, easy to understand and robust in control they are widely implemented in many of the chemical process industries. In industries this PID control is the most common control algorithm used and also this has been universally accepted in industrial control. In a wide range of operating conditions the popularity of PID controllers can be attributed partly to their robust performance and partly to their functional simplicity which allows engineers to operate them in a simple, straight forward manner. One of the accepted control algorithms by the process industries is the PID control. However, in order to accomplish high precision positioning performance and to build a robust controller tuning of the key parameters in a PID controller is most inevitable. Therefore, for PID controllers many tuning methods are proposed. the main factors that lead to lifetime reduction in gain loss of PID parameters are described in This paper and also the main methods used for gain tuning based on optimization approach analysis is reviewed. The advantages and disadvantages of each one are outlined and some future directions for research are analyzed.

Establishment and comparison of a spatial dynamics model for virtual track train with different steering modes

2021 ◽  
pp. 146441932110240
Author(s):  
Zhonghui Yin ◽  
Jiye Zhang ◽  
Haiying Lu
Keyword(s):  
Pid Controller ◽  
Dynamic Performance ◽  
Spatial Dynamics ◽  
Steering System ◽  
Front Wheel ◽  
Proportional Integral Derivative ◽  
Dynamics Model ◽  
Proposed Model ◽  
Suspension Control ◽  
Curved Section

To solve the urbanization and the economic challenges, a virtual track train (VTT) transportation system has been proposed in China. To evaluate the dynamic behavior of the VTT, a spatial dynamics model has been developed that considers the suspension system and the steering system. Additionally, the model takes into account road irregularity to make simulations more realistic. Based on the newly proposed dynamic model and a designed proportional–integral–derivative (PID) controller, simulation frames of the vehicle and of the VTT are established with the path-tracking performance. The results show that the vehicle and the VTT can run along a desired lane with allowable errors, verifying the proposed model. The vehicle and VTT with the four-wheel steering system show a better dynamic performance than the models with the front-wheel steering system in the curved section. Moreover, the simulation frame can be further applied to dynamics-related assessments, parameter optimization and active suspension control strategy.

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