scholarly journals Design of Optimal PID Controller withɛ-Routh Stability for Different Processes

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
XianHong Li ◽  
HaiBin Yu ◽  
MingZhe Yuan
Keyword(s):  
Pid Controller ◽  
Design Method ◽  
Optimization Methods ◽  
Pid Controllers ◽  
Water Tank ◽  
Nonlinear Constraint ◽  
Order Error ◽  
Interior Method ◽  
Tank System ◽  
Tuning Methods

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.

Optimal MIMO PID Controllers for the MIMO Processes

2011 ◽  
Author(s):  
Xian Hong Li ◽  
Hai Bin Yu ◽  
Ming Zhe Yuan ◽  
Chuan Zhi Zang ◽  
Zhuo Wang
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Design Method ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Nonlinear Constraint ◽  
Pid Tuning ◽  
Squared Error ◽  
Different Types ◽  
Tuning Methods

This paper focuses on the design method of the optimal multiple inputs and multiple outputs (MIMO) proportional integral derivative (PID) controllers for the MIMO processes via using Lyapunov theorems. A hybrid augmented integral squared error (HAISE) is applied to design the optimal multi-loop PID controller for the MIMO plants. The optimal multi-loop PID control problem is transformed into a nonlinear constraint optimization (NLCO) problem. The optimal PID controller parameters are obtained from solving the NLCO problem. The design method is applied to devise the multi-loop optimal PID controller for different types of MIMO plants and the optimal PID controller under different control weight is shown in this paper. The performances of different PID tuning methods are studied too. The computer simulation results are presented to demonstrate the effectiveness of the design method and good performance and robustness of the optimal multi-loop PID controllers.

scholarly journals SIMULATION AND PERFORMANCE OF LIQUID LEVEL CONTROLLERS FOR LINEAR TANK

2020 ◽  
Vol 82 (3) ◽  
Author(s):  
Qahtan A. Mahmood ◽  
Amer T. Nawaf ◽  
Shaho A. Mohamedali
Keyword(s):  
Pid Controller ◽  
Absolute Error ◽  
Liquid Level ◽  
Pid Controllers ◽  
Water Tank ◽  
Level Control ◽  
Tuning Method ◽  
Squared Error ◽  
And Performance ◽  
Tuning Methods

Level control of liquid in a tank or any similar container is widely used in applications such as chemical and oil industrial processes. Control the level at desired value is very important. This paper studies the performance of P, PI, and PID controllers in controlling the level of a liquid. Mass balance is used to find mathematical model of water tank level. Ziegler-Nichol (Z-N) and Cohen-Coon (C-C) tuning methods are used to evaluate parameters of the controllers. The error indices such as Integral Absolute Error (IAE) and Integral Squared Error (ISE) are used to compare between performances of the controllers. MATLAB is used to test the control system performance and compare the results with real values. Both simulation and experimental results show that liquid level system can be controlled effectively by using Z-N tuning method. The result shows that the PI controller gives better performance in comparison with P and PID controller.

Sine-cosine algorithm-based optimization for automatic voltage regulator system

2018 ◽  
Vol 41 (6) ◽  
pp. 1761-1771 ◽  
Author(s):  
Baran Hekimoğlu
Keyword(s):  
Pid Controller ◽  
Design Method ◽  
Voltage Regulator ◽  
Bee Colony ◽  
Automatic Voltage Regulator ◽  
Avr System ◽  
Sine Cosine Algorithm ◽  
Tuning Methods ◽  
Domain Performance ◽  
Novel Design

A novel design method, sine-cosine algorithm (SCA) is presented in this paper to determine optimum proportional-integral-derivative (PID) controller parameters of an automatic voltage regulator (AVR) system. The proposed approach is a simple yet effective algorithm that has balanced exploration and exploitation capabilities to search the solutions space effectively to find the best result. The simplicity of the algorithm provides fast and high-quality tuning of optimum PID controller parameters. The proposed SCA-PID controller is validated by using a time domain performance index. The proposed method was found efficient and robust in improving the transient response of AVR system compared with the PID controllers based on Ziegler-Nichols (ZN), differential evolution (DE), artificial bee colony (ABC) and bio-geography-based optimization (BBO) tuning methods.

scholarly journals Controller Parameter Optimization for Nonlinear Systems Using Enhanced Bacteria Foraging Algorithm

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
V. Rajinikanth ◽  
K. Latha
Keyword(s):  
Real Time ◽  
Pid Controller ◽  
Nonlinear Process ◽  
Process Models ◽  
Proportional Integral Derivative ◽  
Controller Tuning ◽  
Spherical Tank ◽  
Pid Controller Tuning ◽  
Tank System ◽  
Tuning Methods

An enhanced bacteria foraging optimization (EBFO) algorithm-based Proportional + integral + derivative (PID) controller tuning is proposed for a class of nonlinear process models. The EBFO algorithm is a modified form of standard BFO algorithm. A multiobjective performance index is considered to guide the EBFO algorithm for discovering the best possible value of controller parameters. The efficiency of the proposed scheme has been validated through a comparative study with classical BFO, adaptive BFO, PSO, and GA based controller tuning methods proposed in the literature. The proposed algorithm is tested in real time on a nonlinear spherical tank system. The real-time results show that, EBFO tuned PID controller gives a smooth response for setpoint tracking performance.

scholarly journals PID Controller Gains Tuning Using Metaheuristic Optimization Methods: A survey

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Pid Controller ◽  
Control Process ◽  
Optimization Methods ◽  
Industrial Applications ◽  
Pid Controllers ◽  
Pid Tuning ◽  
Metaheuristic Optimization ◽  
Pid Controller Tuning ◽  
Vital Component

In nowadays industry, most processes are controlled and automated. Interestingly, PID controllers are major contributors to the control process since they were invented and become quite practical. PID controllers are vital component in the industry and enhancing the component will show an echo effect in today’s technology. Their drawbacks are tuning them for an application, and this provides inspiration to develop advanced optimization methods in tuning PID controllers. This survey aims to review metaheuristic optimization methods of PID controller tuning that were published between 2010 and 2018. The paper was constructed based on 22 research papers and found that 8 metaheuristics optimization methods were used with PID tuning on 5 industrial applications. The papers also extensively provided answers to 3 research questions and assessing the quality of the papers based on 6 parameters.

scholarly journals Comparison of Tuning Methods of PID Controllers for Level Process for Single Tank System

IJIREEICE ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 63-65
Author(s):  
Pradeepa S ◽  
Mohamed Hussain K ◽  
Sindhu S ◽  
Hariharan R ◽  
Varunvel K
Keyword(s):  
Pid Controllers ◽  
Tank System ◽  
Tuning Methods ◽  
Level Process

PID Controller Design for Two Tanks Liquid Level Control System Using Matlab

2015 ◽  
Vol 5 (3) ◽  
pp. 436 ◽  
Author(s):  
Mostafa Abdul Fellani ◽  
Aboubaker M. Gabaj
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Liquid Level ◽  
Level Control ◽  
Process Industries ◽  
Tuning Method ◽  
Pid Tuning ◽  
Tank System ◽  
Pid Controller Design ◽  
Tuning Methods

The industrial application of Coupled Tank System (CTS) is widely used especially in chemical process industries. The control of liquid level in tanks and flow between tanks is a problem in the process technologies. The process technologies require liquids to be pumped, stored in tanks, and then pumped to another tank systematically. This paper presents development of Proportional-Integral-Derivative (PID) controller for controlling the desired liquid level of the CTS. Various conventional techniques of PID tuning method will be tested in order to obtain the PID controller parameters. Simulation is conducted within MATLAB environment to verify the performances of the system in terms of Rise Time (Ts), Settling Time (Ts), Steady State Error (SSE) and Overshoot (OS). The trial and error method of tunning will be implemented and all the performance results will be analyzed using MATLAB. It has been demonstrated that performances of CTS can be improved with appropriate technique of PID tuning methods.

Fuzzy Tuning PID Control of the Rolling Mill Main Drive System

2015 ◽  
Vol 713-715 ◽  
pp. 739-742 ◽  
Author(s):  
Li Ping Fan ◽  
Yi Liu
Keyword(s):  
Pid Controller ◽  
Design Method ◽  
Drive System ◽  
Pid Controllers ◽  
Motor Speed ◽  
Control Effect ◽  
Speed Controller ◽  
Regular Control ◽  
Current Controller ◽  
Main Drive System

The main drive system using for four-high mill is usually a double closed loop DC motor speed regulating system. Generally, the speed controller and current controller are PID controllers, and the parameters of controllers are determined by the engineering design method. Once disturbance occur, the control effects are often just passable. In this paper, fuzzy logic is used to set the parameters of the speed PID controller, so as to improve the disturbance rejection ability. Simulation results show that the fuzzy tuning PID controller can give better control effect than the regular control.

scholarly journals A Simple Robust PID Controller Design Method Based on Sine Wave Identification of the Uncertain Plant

2010 ◽  
Vol 61 (3) ◽  
pp. 164-170 ◽  
Author(s):  
Štefan Bucz ◽  
Ladislav Marič ◽  
Ladislav Harsányi ◽  
Vojtech Veselý
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Design Method ◽  
Sine Wave ◽  
Pid Controllers ◽  
Design Algorithm ◽  
Pid Controller Design ◽  
Algorithm Implementation ◽  
The Mathematical Model ◽  
Wave Identification

A Simple Robust PID Controller Design Method Based on Sine Wave Identification of the Uncertain PlantThe paper deals with the development and application of a new simple empirical approach to the design of robust PID controllers for technological processes in industrial practice. The main advantage of the proposed approach is the possibility to specify the required performance before the design algorithm implementation. Identification of characteristic data of the black-box type plant with varying parameters is carried out using the sine wave excitation signal, thus allowing to design the controller without necessarily knowing the mathematical model of the plant. The proposed approach has been verified on a real-world physical process.

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