Control of Non-Linear Systems

Code:

PRODEM078

Acronym:

CSNL

Keywords
Classification	Keyword
OFICIAL	Mechanical Engineering

Instance: 2024/2025 - 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. Classic Nonlinear Systems Modelling and Analysis: nonlinear systems behaviours; the phase plane as a graphical tool for the analysis of second order systems; Limit Cycles; discontinuous nonlinear behaviours; Describing Functions; stability analysis using Describing Functions; Popov and circle criteria for stability. 
2. Time Domain Stability: Lyapunov theory.
3. Controller Synthesis in the Time Domain: an overview of some synthesis methods (Adaptive Control and Variable Structure Control); sliding mode controllers.
4. 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
John Van de Vegte; Feedback control systems. ISBN: 0-13-016379-1

Teaching methods and learning activities

Tutorial sessions presenting the theoretical contents paralleled by the study of some actual demonstrative examples.
Hands-on 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 without final exam

Assessment Components

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

Amount of time allocated to each course unit

Designation	Time (hours)
Elaboração de relatório/dissertação/tese	48,00
Estudo autónomo	90,00
Frequência das aulas	24,00
Total:	162,00

Eligibility for exams

To respect the absence limit.

Calculation formula of final grade

The Final Classification will be the one obtained by the student on a case study report.

Examinations or Special Assignments

The evaluation will be performed by a report on a non linear control system case study, together with a Matlab/Simulink simulation enabling the performance evaluation of the proposed solution.