Linear Control System
Lecture and Tutorials on Linear Control System
Linear Control System Course Outline
Table of Contents
- Introduction to Control Systems
- Mathematical Modeling of Control Systems
- System Analysis
- Frequency Domain Analysis
- Control System Design
- Introduction to Advanced Topics
- Control System using Julia Language
Introduction to Control Systems
Overview of Control Systems
Introduction to the concept and examples of control systems, their importance, and applications.
Classification of Control Systems
Discussion on open-loop vs. closed-loop systems, and linear vs. nonlinear systems.
Lab: Simulation of Systems
Using MATLAB/Simulink to model and simulate basic open-loop and closed-loop systems.
Mathematical Modeling of Control Systems
Differential Equations and Transfer Functions
Introduction to differential equations, Laplace transform, and transfer functions in control systems.
State-Space Models
Introduction to state-space representation and its relation to transfer functions.
Lab: Modeling and Simulation
Creating models of physical systems in MATLAB/Simulink.
System Analysis
Time Response Analysis
Analysis of first and second-order systems, and performance criteria.
Stability Analysis
Concepts of stability and methods like Routh-Hurwitz criterion, Root locus.
Lab: Time Response and Stability
MATLAB/Simulink exercises for stability and time response.
Frequency Domain Analysis
Frequency Response Analysis
Understanding Bode plots, Nyquist plots, and gain and phase margins.
Design and Analysis Using Frequency Response Methods
Designing compensators (lead, lag, lead-lag) using frequency response methods.
Lab: Frequency Response Analysis
Experiments with Bode and Nyquist plots in MATLAB/Simulink.
Control System Design
Feedback Control System Design
Principles of feedback and PID Controllers: Design, tuning, and implementation.
Advanced Control Strategies
State feedback control and observers design.
Lab: Design and Implementation of PID Controllers
Tuning PID controllers for different systems using MATLAB/Simulink.
Introduction to Advanced Topics
Introduction to Digital Control Systems
Digital controller design principles, including sampling theorem and Z-transform.
Overview of Nonlinear Control Systems
Challenges and strategies in nonlinear control.
Lab: Digital Control Design
Implementing digital control systems on microcontrollers or FPGAs.
Possible Lab Exercises
- Simulation Labs: Modeling and analysis using MATLAB/Simulink.
- Hardware Labs: Implementing controllers on physical systems.
- Digital Control Labs: Implementing digital controllers with microcontrollers.
References
- K. Ogata, “Modern Control Engineering.”
- R.C. Dorf and R.H. Bishop, “Modern Control Systems.”
- Software Tools: MATLAB/Simulink, LabVIEW.
- Journals: IEEE Transactions on Automatic Control, Control Systems Magazine.