The book covers the basic aspects of linear single loop feedback control theory. Explanations of the mathematical concepts used in classical control such as root loci, frequency response and stability methods are explained by making use of MATLAB plots but omitting the detailed mathematics found in many textbooks. There is a chapter on PID control and two chapters provide brief coverage of state variable methods. The approach adopted allows more time to be devoted to controller design by different methods, to compare the results and also to examine the effects of plant parameter variations.
Author(s): Derek P. Atherton
Edition: 2
Publisher: Bookboon
Year: 2013
Language: English
Pages: 150
Tags: Автоматизация;Теория автоматического управления (ТАУ);Книги на иностранных языках;
Introduction
What is Control Engineering?
Contents of the Book
References
Mathematical Model Representations of Linear Dynamical Systems
Introduction
The Laplace Transform and Transfer Functions
State space representations
Mathematical Models in MATLAB
Interconnecting Models in MATLAB
Reference
Transfer Functions and Their Responses
Introduction
Step Responses of Some Specific Transfer Functions
Response to a Sinusoid
Frequency Responses and Their Plotting
Introduction
Bode Diagram
Nyquist Plot
Nichols Plot
The Basic Feedback Loop
Introduction
The Closed Loop
System Specifications
Stability
More on Analysis of the Closed Loop System
Introduction
Time Delay
The Root Locus
Relative Stability
M and N Circles
Classical Controller Design
Introduction
Phase Lead Design
Phase Lag Design
PID Control
References
Parameter Optimisation for Fixed Controllers
Introduction
Some Simple Examples
Standard Forms
Control of an Unstable Plant
Further Comments
References
Further Controller Design Considerations
Introduction
Lag-Lead Compensation
Speed Control
Position Control
A Transfer Function with Complex Poles
The Effect of Parameter Variations
References
State Space Methods
Introduction
Solution of the State Equation
A State Transformation
State Representations of Transfer Functions
State Transformations between Different Forms
Evaluation of the State Transition Matrix
Controllability and Observability
Cascade Connection
Some State Space Design Methods
Introduction
State Variable Feedback
Linear Quadratic Regulator Problem
State Variable Feedback for Standard Forms
Transfer Function with Complex Poles
