Linear control systems
Learn the fundamental aspects of linear control from physical modeling to temporal, frequency and performances analysis
What you will learn
The fundamental principles of the control systems
The control system transfer functions
Diagrams in blocks or functional diagrams
The temporal response of linear Systems
The frequency Response of linear Systems
The system's precision and stability
The theory of PID corrector
Enhancement of response times based on PID correctors
The stability principle
Why take this course?
This is a thorough introduction to linear control systems for beginners. In industrial systems, this topic is particularly helpful, especially for managing and controlling linear processes. In the current course, we begin by presenting a general overview of control systems, including a presentation of the various definitions and ideas. This section illustrates differential equations' Laplace transformation and properties. The idea of transfer functions in control systems, which considers the open and closed loop concepts, is then presented. We then discuss linear systems' temporal and frequency response. In order to understand the goals of linear control, this course provides detailed explanations of the stability and precision of and following that, We conclude with a discussion of how correctors can be used to enhance system performance. After completing this course, the student will gain a general understanding of the field of control systems and be able to study a physical system from physical modeling and differential equations all the way to transfer function. This course provides a general overview of linear control systems. Based on temporal and frequency techniques, this list can be investigated. In order to enhance the response capabilities of systems in both open and closed loops, the student ultimately tackles corrector synthesis.
The following list includes the key topics covered in this course:
- Definition of system
- Definition of linear system
- The nature of the input and output signals
- Definition of command system
- The difference between regulation and control
- Laplace transformation
- Laplace transformation properties
- Famous Laplace transformation
- Example of Laplace's transformation
- Steps to get the transfer function
- Characteristic equation of 1st order system
- Characteristic equation of 2nd order system
- Example of the RC circuit
- Example of a mechanical system
- Definition of the functional diagram
- Useful formalism
- A global view of the control scheme
- Open-loop system
- Closed-loop system
- Example of block diagram simplification
- Dynamics performance of the linear system
- Typical signals used in temporal analysis
- First-order system response
- Second-order system response
- Harmonic response
- The representation of A complex number (Nyquist, Black, and Bode)
- Bode diagram of the first-order system
- Nyquist diagram of the first-order system
- Black diagram of the first-order system
- Bode and Black diagram of a second-order system
- Precision
- Stability
- Algebraic criterion of Routh-Hurwitz
- Overview of the corrector
- Poles placement corrector
- Phase advance corrector
- The PID corrector
- The PID parameters tuning corrector
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