Control of Non-Linear Systems

Code:

PRODEM078

Acronym:

CSNL

Keywords
Classification	Keyword
OFICIAL	Mechanical Engineering

Instance: 2008/2009 - 2S

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

Teaching language

Portuguese

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.

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.

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
A. Oustaloup; La Comande CRONE: Commande Robuste d'Orde Non Entier, Hermes

Teaching methods and learning activities

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

keywords

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

Evaluation Type

Evaluation with final exam

Examinations or Special Assignments

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