• Title/Summary/Keyword: PID control gain

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Design of Multivariable PID Controllers: A Comparative Study

  • Memon, Shabeena;Kalhoro, Arbab Nighat
    • International Journal of Computer Science & Network Security
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    • v.21 no.8
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    • pp.212-218
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    • 2021
  • The Proportional Integral Derivative (PID) controller is the most popular industrial controller and more than 90% process industries use this controller. During the past 50 years, numerous good tuning methods have been proposed for Single Input Single Output Systems. However, design of PI/PID controllers for multivariable processes is a challenge for the researchers. A comparative study of three PID controllers design methods has been carried-out. These methods include the DS (Direct Synthesis) method, IMC (Internal model Control) method and ETF (Effective Transfer Function) method. MIMO PID controllers are designed for a number of 2×2, 3×3 and 4×4 process models with multiple delays. The performance of the three methods has been evaluated through simulation studies in Matlab/Simulink environment. After extensive simulation studies, it is found that the Effective Transfer Function (ETF) Method produces better output responses among two methods. In this work, only decentralized methods of PID controllers have been studied and investigated.

Design of Multivariable PID Controllers: A Comparative Study

  • Memon, Shabeena;Kalhoro, Arbab Nighat
    • International Journal of Computer Science & Network Security
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    • v.21 no.9
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    • pp.11-18
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    • 2021
  • The Proportional Integral Derivative (PID) controller is the most popular industrial controller and more than 90% process industries use this controller. During the past 50 years, numerous good tuning methods have been proposed for Single Input Single Output Systems. However, design of PI/PID controllers for multivariable processes is a challenge for the researchers. A comparative study of three PID controllers design methods has been carried-out. These methods include the DS (Direct Synthesis) method, IMC (Internal model Control) method and ETF (Effective Transfer Function) method. MIMO PID controllers are designed for a number of 2×2, 3×3 and 4×4 process models with multiple delays. The performance of the three methods has been evaluated through simulation studies in Matlab/Simulink environment. After extensive simulation studies, it is found that the Effective Transfer Function (ETF) Method produces better output responses among two methods. In this work, only decentralized methods of PID controllers have been studied and investigated.

A study on The Fuzzy PID Controller for an gain self-tuning (이득동조를 위한 퍼지 PID 제어기의 연구)

  • 유상욱
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.37 no.3
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    • pp.60-65
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    • 2000
  • We propose a new method to deal with the optimal gain self-tuning of the PID controller which is used to industrial process control in various fields. First of all, in this method, first order delay system which was modeled from the unit step response of the system is Pade-approximated, then initial values are determined by the Ziegler-Nickels method. Finally, we can find the parameters of Pm controller so as to maximize the fuzzy inferencl function which includes the maximum overshoot, damping ratio, rising time and settling time. The proposed method also shows good adaptability for variations in characteristics and dead time of the system.

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Fuzzy Logic PID controller based on FPGA

  • Tipsuwanporn, V.;Runghimmawan, T.;Krongratana, V.;Suesut, T.;Jitnaknan, P.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1066-1070
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    • 2003
  • Recently technologies have created new principle and theory but the PID control system remains its popularity as the PID controller contains simple structure, including maintenance and parameter adjustment being so simple. Thus, this paper proposes auto tune PID by fuzzy logic controller based on FPGA which to achieve real time and small size circuit board. The digital PID controller design to consist of analog to digital converter which use chip TDA8763AM/3 (10 bit high-speed low power ADC), digital to analog converter which use two chip DAC08 (8 bit digital to analog converters) and fuzzy logic tune digital PID processor embedded on chip FPGA XC2S50-5tq-144. The digital PID processor was designed by fundamental PID equation which architectures including multiplier, adder, subtracter and some other logic gate. The fuzzy logic tune digital PID was designed by look up table (LUT) method which data storage into ROM refer from trial and error process. The digital PID processor verified behavior by the application program ModelSimXE. The result of simulation when input is units step and vary controller gain ($K_p$, $K_i$ and $K_d$) are similarity with theory of PID and maximum execution time is 150 ns/action at frequency are 30 MHz. The fuzzy logic tune digital PID controller based on FPGA was verified by control model of level control system which can control level into model are correctly and rapidly. Finally, this design use small size circuit board and very faster than computer and microcontroller.

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Implementation of the two-degree-of freedom PID Position Controller for Linear Motor Drive with Easy Gain Adjustment (이득 설계가 간단한 선형전동기 2자유도 PID 위치제어기 구현)

  • Ha, Hong-Gon;Lee, Chang-Ho
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.2
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    • pp.124-129
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    • 2007
  • Recently, the application of the linear machine for industrial field is remarkably increased, especially for the gantry machine, machine tool system and CNC. However a linear meter remains the vibrational characteristic itself therefore, In these application fields, high position control performance is essentially required in both the steady and the transient states. In this paper, the design method for a position control is proposed by using the two-degree-of freedom PID controller. This method has great features for the linear machine drives such as no over-shoot phenomena and single gain tuning strategy. By comparison with conventional PID controller, the improvement of performance of a linear motor control system using two degrees of freedom controller are discussed. Through the simulation results, the usefulness of the proposed algorithm is proved. With the simulation results, it was made clear that the introduction of two degrees of freedom controller designed by the proposed method not only improves the over shoot and starting characteristic of response but also removes the undesirable characteristic variation.

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A Study on Current, Velocity, Position Gain Tuning Technique of Servo Position Controller using Simulation (시뮬레이션을 이용한 서보 위치제어기의 전류, 속도, 위치이득 동조기법에 관한 연구)

  • Park, Ki-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.7
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    • pp.634-640
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    • 2011
  • When a servo position controller of a robot or a driving units is composed of a PID controller, servomechanism which is modelled is composed of current, velocity and position control loops. After this model is simulated, the technique operating gain of each controller is suggested. The model consists of current, velocity and position controllers from the inside to the outside gradually. Also, to combine velocity and position controllers with 2 order system, simulation is performed after current controllers are composed, which are able for current loop to work ideally. If a current controller is treated with constant, it is possible for velocity and position controller to consist of controller into 2 order system. The technique is verified by applying T-company servo motor which is much more applied to current, velocity and position controller robots.

Design and Analysis of Fuzzy PID Control for Nonlinear System (비선형 시스템을 위한 퍼지 PID 제어기의 설계 및 해석)

  • Kim, Sung-Ho;Lee, Cheul-Heui
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.650-652
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    • 2000
  • Although Fuzzy Logic Controller(FLC) adopted three terms as input gives better performance. FLC is in general composed of two-term control because of the difficulty in the construction of fuzzy rule base. In this paper, a three-term FLC which is similar to PID control but acts as a nonlinear controller is proposed. To reduce the complexity of the rule base design and increase efficiency, a simplified fuzzy PID control is induced from a hybrid velocity/position type PID algorithm by sharing a common rule base for both fuzzy Pi and fuzzy PD parts. It is simple in structure, easy in implementation, and fast in calculation. The phase plane technique is applied to obtain the rule base for fuzzy two-term control and them. The resultant rule base is Macvicar-Whelan type. The frequency response information is used in tuning of membership functions. Also a tuning strategy for the scaling factors is Proposed based on the relationship between PID gain and them. Simulation results show better performance and the effectiveness of the proposed method.

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A Study on the Design of Linear PID Controller (선형 PID 제어기 설계에 관한 연구)

  • Cho, Joon-Ho
    • Journal of Industrial Convergence
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    • v.16 no.2
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    • pp.33-39
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    • 2018
  • This paper describes the design method of the linear PID controller and proposed the design method in the future. The first PID design method is to ensure phase margin and gain margin. This method guarantees stability by designing in the frequency domain. The second method is an internal model control method. This method is to design the PID controller using the parameters of the internal model after identifying the internal model for the control model. Therefore, this method has a strong disturbance characteristic. Finally, a proposed Cascade and smith-Predictor controller. The combination of the cascade controller and the smith-predator of this method is a controller structure that has two advantages: robust control and optimal control. This method can obtain the performance evaluation index as the optimal controller design method. This PID controller design method becomes the basis of the nonlinear method and is being continuously studied.

Temperature Control of a CSTR using Fuzzy Gain Scheduling (퍼지 게인 스케쥴링을 이용한 CSTR의 온도 제어)

  • Kim, Jong-Hwa;Ko, Kang-Young;Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.9
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    • pp.839-845
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    • 2013
  • A CSTR (Continuous Stirred Tank Reactor) is a highly nonlinear process with varying parameters during operation. Therefore, tuning of the controller and determining the transition policy of controller parameters are required to guarantee the best performance of the CSTR for overall operating regions. In this paper, a methodology employing the 2DOF (Two-Degree-of-Freedom) PID controller, the anti-windup technique and a fuzzy gain scheduler is presented for the temperature control of the CSTR. First, both a local model and an EA (Evolutionary Algorithm) are used to tune the optimal controller parameters at each operating region by minimizing the IAE (Integral of Absolute Error). Then, a set of controller parameters are expressed as functions of the gain scheduling variable. Those functions are implemented using a set of "if-then" fuzzy rules, which is of Sugeno's form. Simulation works for reference tracking, disturbance rejecting and noise rejecting performances show the feasibility of using the proposed method.

A Design Of Control System Satisfying Multi-Performance Specifications Using Adaptive Genetic Algorithms (적응 유전자 알고리즘을 이용한 다수의 성능 사양을 만족하는 제어계의 설계)

  • 윤영진;원태현;이영진;이만형
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.621-624
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    • 2002
  • The purpose of this paper is a study on getting proper gain set of PID controller which satisfies multi-performance specifications of the control system. The multi-objective optimization method is introduced to evaluate specifications, and the genetic algorithm is used as an optimal problem solver. To enhance the performance of genetic algorithm itself, adaptive technique is included. According to the proposed method in this paper, finding suitable gain set can be more easily accomplishable than manual gain seeking and tuning.

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