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 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.

scholarly journals Performance Evaluation of the Good Gain Method Against Other Methods Using a Water Level Control System

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Water Level ◽  
Pid Controller ◽  
The Other ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Level Control ◽  
Tuning Method ◽  
Pid Tuning ◽  
Pid Controller Tuning ◽  
Tuning Methods

Various tuning methods have been proposed for proportional-integral-derivative (PID) controller. A respectively new and simple experimental method for tuning PID controllers named a Good Gain method that was recently proposed by F. Haugen in 2010, this method is not yet recognized among the other known methods for tuning. However, the founder of this methods claims that it can be an alternative to the famous Ziegler-Nichols. In this paper, PID tuning method has been performed experimentally using a real water level system in order to test and validates the Good Gain method. Also other PID tuning methods applied to the same system to compare the results. The results show that the Good Gain method gives an acceptable stability and response comparing to the other industrial PID controller tuning procedures

scholarly journals TR Optimization in High-Performance Drilling Machine for Various Control Actions & Algorithm

2020 ◽  
Vol 8 (5) ◽  
pp. 5346-5352
Keyword(s):  
Paradigm Shift ◽  
Pid Controller ◽  
High Performance ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Construction Firms ◽  
Pid Tuning ◽  
Control Schemes ◽  
Tuning Methods ◽  
Fine Tune

Drilling industry has moved into a paradigm shift with the controlled Proportional Integral Derivative (PID) tuning, which provides optimum outcomes in recent decades. Interestingly the outcomes of several aspects of these PIDs are quite important for the industry sector. Many of the large industry or construction firms’ project that was seemed impossible at one point of time is now feasible. A significant amount of research has been commenced for tuning of PID controllers from the last six decades. Many tuning methods have also been proposed. Most of the tuning methods are model-based like Ziegler Nichols (ZN) method. It provides initial tuning of PID, which offer consistent result, but there is always suggested to fine-tune the PID controller further for the particular process to get optimum results. This paper represents a comparison for the several control schemes such as PID controller, PI with PD in feedback, PID with PD in feedback, PID-D and PID-PD controller and lead compensator. This relative study based upon rise time, settling time and peak-overshoot. The block diagrams were simulated in MATLAB, and their results are compared.

scholarly journals STUDI NUMERIK SIMULASI ROBOT PEMBERSIH KACA PADA GEDUNG BERTINGKAT

2019 ◽  
Vol 1 (1) ◽  
Author(s):  
Balisranislam Balisranislam ◽  
I Nyoman Sutantra ◽  
Bambang Sampurno ◽  
Herry Sufyan Hadi
Keyword(s):  
Control System ◽  
Public Relations ◽  
Pid Control ◽  
Pid Controller ◽  
Circulation System ◽  
Natural Lighting ◽  
Pid Tuning ◽  
Human Labor ◽  
Glass Cleaning ◽  
Tuning Methods

<p><span lang="IN">Buildings have priority to support the comfort and public relations of air circulation system and natural lighting, where the most widely used system is glass. In general, the process of cleaning glass in multi-storey building using conventional labor is by human labor. This process is relatively simple but has a loss in work accidents. Therefore, this study discusses glass cleaning robots. the working system of moving the wheel of the robot directly, and the control system using PID control. Tuning PID using Zigler-Nichols and Find Tuning methods with Simulink. Based on the results of PID Controller Calculation using Zigler Nichols method, the value obtained Kp = 0,01446, Ki = 0,0000026, and Kd = 9524,35. While calculation of PID controller using PID tuning with simulink, obtained value Kp = 19,365, Ki = 13,115, and Kd = 5,699. The speed control system using the Zigler-Nichols method does not produce a good response, because the resulting response is still unstable. While PID control using Tuning can produce a good response with up time can be achieved within 1.39 seconds, over shoot by 8% and the exact completion time is 5 seconds</span></p><p> </p>

scholarly journals An Optimal Fuzzy PID Controller Design Based on Conventional PID Control and Nonlinear Factors

2019 ◽  
Vol 9 (6) ◽  
pp. 1224 ◽  
Author(s):  
Chun-Tang Chao ◽  
Nana Sutarna ◽  
Juing-Shian Chiou ◽  
Chi-Jo Wang
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Controller Design ◽  
Pid Controllers ◽  
Initial Population ◽  
Fuzzy Pid ◽  
Proportional Integral Derivative ◽  
Fuzzy Logic Controllers ◽  
Fuzzy Pid Controller ◽  
Pid Controller Design

This paper proposes an optimal fuzzy proportional–integral–derivative (PID) controller design based on conventional PID control and nonlinear factors. With the equivalence between fuzzy logic controllers (FLCs) and conventional PID controllers, a conventional PID controller design can be rapidly transformed into an equivalent FLC by defining the operating ranges of the input/output of the controller. The proposed nonlinear factors can further tune the nonlinearity of the membership functions (MFs) distributed in the operating ranges. In this manner, a fuzzy PID controller can be developed with less parameters and optimized by using the genetic algorithm (GA). In addition, the aforementioned equivalent FLC can act as one individual in the initial population of GA, and significantly enhances the GA efficiency. Simulation results demonstrate the feasibility of this technique. This resulted in an optimal fuzzy PID controller design with only eight parameters with a concise controller structure, and most importantly, the optimal fuzzy PID controller design is now more systematic.

A Design Method for Modified PID Control Systems to Attenuate Unknown Disturbances

2010 ◽  
Vol 459 ◽  
pp. 211-220 ◽  
Author(s):  
Takaaki Hagiwara ◽  
Kou Yamada ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
Shun Matsuura
Keyword(s):  
Control System ◽  
Control Systems ◽  
Pid Control ◽  
Design Method ◽  
Industrial Applications ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Admissible Sets ◽  
Unknown Disturbances

PID(Proportional-Integral-Derivative) controller structure is the most widely used one in industrial applications. Yamada and Hagiwara proposed a design method for modified PID controllers such that modified PID controllers make the control system for unstable plants stable and the admissible sets of P-parameter, I-parameter and D-parameter are independent from each other. When modified PID control systems are applied to real plants, the influence of disturbance in the plant must be considered. In many cases, disturbance in the plant is unknown. It is comparatively easy to attenuate known disturbance, but it is difficult to attenuate unknown disturbances. From a practical viewpoint, it is desirable to design a modified PID control system to attenuate unknown disturbances. However, no paper examines a design method for modified PID control systems to attenuate unknown disturbances. In this paper, we propose a design method for modified PID control systems to attenuate unknown disturbances.

scholarly journals MODELLING OF ACTIVE SUSPENSION SYSTEM FOR QUARTER CAR (PID CONTROL, MATLAB)

2021 ◽  
Vol 5 (10) ◽  
Author(s):  
Danish Saifi ◽  
Pramod Kumar
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Active Suspension ◽  
Suspension System ◽  
Modelling And Simulation ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Control Loop ◽  
Proportional Integral ◽  
Fine Control

We are discussing active suspension in this research. It also includes an actuator or controller (ECU), wheels and body. The rider feels comfort in travelling due to the use of these types of suspension. Because it controls vertical moments or moves of the wheels and stable rider or passenger. It is most important in the automobile industries. There are many types of controllers used for fine control to vibration caused by wheels. E.g., PID controllers, it stands for Proportional Integral Derivative. PID controller provides better simultaneous vibration of the output of the control loop. It also used for improving the performance of the suspension system. We can do modelling and simulation carried out in MATLAB software for active suspension.

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.

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.

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.

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