The PID controllers are widely used in industry control applications due to their effectiveness and simplicity. This project presents PID controller design for MIMO coupled water tank level control system that is second order system. PID Controller output is fuzzified to control water level in coupled tank system. Simulation has been done in Matlab (Simulink library) with verification of mathematical model of controller. PID controller design and program has been prepared in LabVIEW. At the place of proportional valve, combinations of solenoid valves are used. The NI DAQ card is used for interfacing between hardware and LabVIEW software. Experiment is fully triggered by LabVIEW. Simulated results are compared with experimental results.
Table of Contents
1. INTRODUCTION
1.1 Overview
1.2 Problem Statement
1.3 Objective
1.4 Scope of project
1.5 Summary
2. LITERATURE REVIEW
2.1 Overview
2.2 Article
2.3 Summary
3. METHODOLOGY
3.1 Overview
3.2 Project Flow Chart
3.3 Mathematical Modelling of Coupled Tank System
3.3.1 A Simple Nonlinear Model of Coupled Tank System
3.3.2 A Linearised Perturbation Model
3.4 System or plant Design
3.5 MATLAB R2012a
3.6 LabVIEW 2010
3.7 DAQ Card
3.8 Summary
4. RESULT, ANALYSIS AND DISCUSSION
4.1 Overview
4.2 Simulation results for different type of controller used for tank 1
4.3 Simulation results for different type of controller used for tank 2
4.4 Experimental Result
4.5 Discussion for PID Controller
4.6 Comparison between simulation and implementation result
4.7 Summary
5. CONCLUSION AND FUTURE RECOMMENDATION
5.1 Conclusion
5.2 Future Recommendation
Research Objectives and Topics
This project aims to design and implement a PID controller with fuzzified output to regulate the water level in a MIMO coupled tank system, utilizing MATLAB for simulation and LabVIEW for practical experimental validation.
- PID controller design and tuning
- Mathematical modeling of nonlinear coupled tank dynamics
- Implementation of Graphical User Interfaces (GUI) for control
- Hardware integration via NI DAQ systems
- Comparative analysis of simulation versus experimental results
Excerpt from the Book
3.3.1 A Simple Nonlinear Model of Coupled Tank System
A simple nonlinear model is derived based on figure 3.2. Let H1and H2 be the fluid level in each tank, measured with respect to the corresponding outlet. Considering a simple mass balance, the rate of change of fluid volume in each tank equals the net flow of fluid into the tank. Thus for each of tank 1 and tank 2, the dynamic equation is developed as follows:
A1 (dH1/dt) = Qi1 - Qo1 - Qo3
A2 (dH2/dt) = Qi2 - Qo2 + Qo3
Where H1, H2 = height of fluid in tank 1 and tank 2 respectively, A1, A2 = cross sectional area of tank 1 and tank 2 respectively, Qo3 = flow rate of fluid between tanks, Qi1, Qi2 = pump flow rate into tank 1 and tank 2 respectively, Qo1, Qo2 = flow rate of fluid out of tank 1 and tank 2 respectively.
Each outlet drain can be modelled as a simple orifice. Bernoulli’s equation for steady, non viscous, incompressible shows that the outlet flows in each tank is proportional to the square root of the head of water in the tank. Similarly, the flow between the two tanks is proportional to the square root of the head differential.
Summary of Chapters
1. INTRODUCTION: Outlines the necessity of liquid level control in industries and defines the scope, objectives, and problem statement of using PID control in a coupled tank system.
2. LITERATURE REVIEW: Summarizes previous research regarding PID controller designs, mathematical modeling, and simulation methods applied to coupled tank processes.
3. METHODOLOGY: Details the mathematical modeling of the system, the development of the PID control algorithm, and the integration of MATLAB/Simulink with LabVIEW and NI hardware.
4. RESULT, ANALYSIS AND DISCUSSION: Evaluates and compares the simulated performance and experimental data of the PID controller based on metrics like rise time, overshoot, and steady-state error.
5. CONCLUSION AND FUTURE RECOMMENDATION: Concludes that while the simulation provided optimal results, hardware limitations in the experimental setup led to deviations, suggesting future improvements such as using ultrasonic sensors and RC filters.
Keywords
PID, MIMO, Fuzzification, Coupled Tank, Control system, LabVIEW, MATLAB, Simulink, NI DAQ, Water Level Control, Modeling, Simulation, Actuators, Feedback, Industrial Control
Frequently Asked Questions
What is the core focus of this research paper?
The paper focuses on designing a PID controller for a MIMO coupled tank system, specifically enhancing the controller output through fuzzification to manage water levels effectively.
Which primary industries utilize the liquid level control techniques discussed here?
The techniques are relevant to various industrial sectors, including food processing, nuclear power generation, chemical processing, and pharmaceutical manufacturing.
What is the central research goal?
The primary objective is to develop a PID controller with fuzzified logic and validate the simulation results using a physical experimental setup implemented in LabVIEW.
Which software tools were employed for this project?
MATLAB 2012a (Simulink) was used for controller simulation and mathematical verification, while LabVIEW 2010 was used to create the GUI and handle the experimental implementation.
What does the main body of the paper cover?
The main body covers the mathematical modeling of the coupled tank system, the development of linear and nonlinear control models, the design of the GUI, and the comparative analysis of simulated versus experimental data.
Which keywords best describe the work?
Key terms include PID, MIMO, Fuzzification, Coupled Tank, Control system, LabVIEW, MATLAB, and Data Acquisition (DAQ).
What role does the NI DAQ card play in the experiment?
The NI DAQ card serves as the essential hardware interface, facilitating communication between the physical tank system, the sensors, and the LabVIEW software.
Why did the physical experiment results differ from the simulation?
Discrepancies occurred due to hardware limitations, such as voltage differences in the capacitive level sensors compared to the theoretical values defined in the controller code.
- Quote paper
- M.Tech. Vishal Vasistha (Author), 2013, PID output fuzzified water level control in MIMO coupled tank system, Munich, GRIN Verlag, https://www.hausarbeiten.de/document/271553
