Electronic Systems for Control

Degree
Technical Engineering in Telecommunication Engineering (Electronic Systems)
Cod.TypeCourseSem.Theory cr.Prac. cr.Acad. course
13124Obligatory3Annual6 3 2010-2011
Coordinator
José Miguel Espí Huerta

Goals

To introduce the student into the classic control theory of continuous and discrete time systems:
- Mathematical representation of feedback systems.
- Analysis of static (errors) and dynamic (velocity vs. stability) parameters in feedback systems.
- Design of continuous and discrete compensation of feedback systems.


Theory programme
Theme 1: Introduction to Control Systems
1.1 Introduction and examples
1.2 Some historical milestones

Theme 2: Dynamics of LTI Systems
2.1 Introduction
2.2 Systems classification
2.3 Description of continuous and discrete LTI systems (review)
2.4 Theorems of initial and final value
2.5 Dynamic analysis of 1st and 2nd order systems
2.5.1 1st order systems
2.5.2 2nd order systems
2.5.3 1st and 2nd order systems with additional dominant zero
2.6 Absolute stability analysis
2.6.1 Routh – Hurwitz criterion
2.7 Equivalent Order-Reduced System
2.8 State equations
2.8.1 Stability in state-space domain
2.9 Examples and exercises

Theme 3: Representation and Simplification of Feedback Systems
3.1 Definitions: transfer functions typical in a feedback loop
3.2 Advantages of feedback systems: sensibility function
3.3 Block diagrams. Simplification
3.4 Flux diagrams. Simplification
3.5 Analytical solution. Mason’s rule
3.6 Examples and exercises

Theme 4: Static Analysis of Feedback Systems
4.1 Steady-state error
4.1.1 Position, velocity and acceleration errors
4.1.2 Error and “type” of a system
4.2 Output error
4.3 Examples and exercises

Theme 5: Dynamic Analysis of Feedback Systems
5.1 Absolute stability analysis using Routh – Hurwitz method
5.2 Nyquist’s relative stability criterion
5.2.1 Phase and gain stability margins
5.2.2 Sufficient conditions for stability
5.2.3 Phase margin and transient response
5.3 The Root Locus
5.3.1 Module and argument conditions
5.3.2 Construction rules
5.4 Examples and exercises

Theme 6: Design of Feedback Systems. Analog Compensation
6.1 Introduction
6.2 Types of analog compensators
6.3 Design based on the frequency response
6.3.1 Design specifications
6.3.2 Asymptotic design
6.3.3 Design with leading – lagging networks
6.3.4 Residue and transient response
6.4 Design based on the root locus
6.4.1 Leading – lagging compensator design
6.4.2 Dominant zeros cancellation using pre-filters
6.5 Examples and exercises

Theme 7: Digital Control
7.1 Introduction
7.2 Structure of digital control systems
7.2.1 A/D conversion model
7.2.2 D/A conversion model
7.3 Discrete equivalent model of continuous systems
7.4 Equivalent discrete control system. General case
7.5 Static analysis of discrete control systems
7.5.1 Initial and final value theorems
7.5.2 Errors of position, velocity and acceleration
7.5.3 Type of a digital control system
7.5.4 Output error
7.6 Dynamic analysis of discrete control systems
7.6.1 S and Z plane relationships
7.6.2 Absolute stability analysis
7.6.2.1 Direct method
7.6.2.2 Bilinear Transformation and Routh criterion
7.6.2.3 Jury’s stability criterion
7.6.3 Relative stability analysis. Phase and gain margins
7.7 Design of digital compensators
7.7.1 Compensation in the frequency domain
7.7.2 Compensation in the root locus
7.8 Examples and exercises

Practical programme
1. Temperature control system
2. Speed control of a DC motor
3. Study of a Phase-Locked-Loop (PLL)
4. Systems study using Matlab
5. Stability in the frequency domain
6. Dynamic analysis on the root locus
7. Analog compensation I
8. Analog compensation II
9. Introduction to digital control
10. Digital control of a DC motor

Bibliography
Richard C. Dorf "Sistemas modernos de control", Addison-Wesley Iberoamericana 1987.
Richard C. Dorf "Modern control systems", Eighth Edition, Addison-Wesley 1998.
Katsuhiko Ogata "Ingeniería de control moderna", 2ª Ed., Prentice Hall 1993.
Katsuhiko Ogata "Sistemas de control en tiempo discreto", 2ª Ed., Prentice Hall Hispanoamericana 1996.
UNED "Automática I" Tomo I.

Evaluation

Both the theory and the laboratory sub-matters will be grade through their respective exams, both convened the day fixed by the centre. The final mark will result as a weighted mean of both the theory and the laboratory marks, accordingly to the number of credits of each.
The laboratory mark can be maintained until the end of the next course.


Web

http://www.uv.es/~jespi/SEC/SEC.html