Control of Non-Linear Systems

Code:

PRODEM078

Acronym:

CSNL

Keywords
Classification	Keyword
OFICIAL	Mechanical Engineering

Instance: 2023/2024 - 2S

Active?	Yes
Responsible unit:	Automation, Instrumentation and Control Section
Course/CS Responsible:	Doctoral Program in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
PRODEM	0	Syllabus since 2009/10	1	-	6	28	162

Teaching language

Suitable for English-speaking students

Objectives

Specific objectives:
To present an overview of some of the actual trends on non-linear systems control. Several control strategies enabling to circumvent process modelling uncertainties as well as to balance stability with performance are analysed.

Learning outcomes and competences

In the end of this subject students shall be able to:
i) model and numerically simulate the time behaviour of dynamic systems;
ii) account for the always present non-linear plant behaviour;
iii) use Computer-Aided Control System Design tools.

Working method

Presencial

Program

1. Phase Plane and Describing Functions.
2. Stability and Robustness on the Frequency Domain: modelling uncertainties; sensitivity and complimentary sensitivity functions; stability of the closed loop system; robust stability; performance sensitivity; perturbation rejection.
3. Controller Synthesis in the Frequency Domain: an overview of some synthesis methods (H∞, QFT and CRONE); CRONE control.
4. Time Domain Stability: Lyapunov theory.
5. Controller Synthesis in the Time Domain: an overview of some synthesis methods (Adaptive Control and VSC); variable structure controllers.
6 Using Matlab

Mandatory literature

Slotine, Jean-Jacques E.; Applied nonlinear control. ISBN: 0-13-040890-5

Complementary Bibliography

Burl, Jeffrey B.; Linear optimal control. ISBN: 0-201-80868-4
Alain Oustaloup, Benoìt Mathieu; La Comande CRONE. ISBN: 2-7462-0043-0

Teaching methods and learning activities

Presentation of the theoretical contents paralleled by some actual demonstrative examples.
Hands-on laboratory sessions using of Matlab on the synthesis and performance analysis of non-linear systems controllers.

Software

Simulink
Matlab

keywords

Technological sciences > Engineering > Control engineering
Technological sciences > Engineering > Systems engineering > Systems theory
Technological sciences > Engineering > Process engineering > Process control

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	70,00
Trabalho escrito	30,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Elaboração de relatório/dissertação/tese	20,00
Estudo autónomo	80,00
Frequência das aulas	56,00
Trabalho laboratorial	20,00
Total:	176,00

Calculation formula of final grade

Lab Report Classification: RC;

Exam Classification: EC;

Final Classification: FC;

FC = 0,3 RC + 0,7 EC

Examinations or Special Assignments

The evaluation will be performed by a report on a case study.