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Presentation
Presentation
The skills to be developed are as follows: Ability to mathematically model physical systems, whether mechanical (translational and rotational) systems or electrical equipment (eg electric motors). Ability to develop electrical models for physical systems simulation and performance analysis. Ability to analyze behavior of systems (feedback or not) in response to various types of input.
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Class from course
Class from course
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Degree | Semesters | ECTS
Degree | Semesters | ECTS
Bachelor | Semestral | 5
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Year | Nature | Language
Year | Nature | Language
3 | Mandatory | Português
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Code
Code
ULHT46-3008
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Prerequisites and corequisites
Prerequisites and corequisites
Not applicable
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Professional Internship
Professional Internship
Não
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Syllabus
Syllabus
Basic definitions and concepts. Notion of feedback. Open/closed loop systems. Introduction to closed loop control. Mathematical models of physical systems. Obtaining the mathematical model of translational systems and rotational systems. Mathematical models of electric motors. Electrical system models. Block algebra. Simplification of block diagrams. Analysis of the transient and steady state response of 1st and 2nd order systems. Pitch, impulse and ramp response. Limited input-limited output stability. Routh-Hurwitz stability criterion. Effects of feedback. Stationary errors and types of systems. Root locus method. Systems design. Systems compensation. PID controllers. Tuning.
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Objectives
Objectives
This subject aims to familiarize you with the techniques of analysis, design and correction of feedback systems. It is, therefore, the initial discipline in the sequence related to Control theory. Systems analysis is done in the s-plane (Laplace).
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Teaching methodologies
Teaching methodologies
The PowerPoint presented in class will be made available to students. In the theoretical-practical component, several examples are presented and solved to apply theoretical concepts. Several Matlab scripts are provided, developed by the teacher, which allow the resolution of problems inherent to the control systems taught in the course. These Matlab scripts also serve as support for solving the set of laboratory assessment work.
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References
References
Norman S. Nise, "CONTROL SYSTEMS ENGINEERING", 8th Edition, John Wiley & Sons, Inc., February 2019, ISBN: 978-1-119-47422-7. Norman S. Nise, "Engenharia de Sistemas de Controle", 6.ª Edição, LTC, 2013, ISBN: 9788521621355. K. Ogata, "Engenharia de Controle Moderno", 5ª Edição, Pearson/Prentice-Hall, 2011, ISBN: 9788521621355.
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Assessment
Assessment
A avaliação teórica será feita em duas frequências, cuja média contribuirá com 60% da nota final. Os 40% restantes resultam da média das notas dos trabalhos, cuja entrega é obrigatória. As médias das frequências e dos trabalhos não pode ser inferior a 10 valores. A nota mínima em qualquer das frequências não pode ser inferior a 8 valores. A avaliação final está sujeita a Prova Oral.
Os trabalhos de Laboratório são 4 e consistem num sistema de controlo eletromecânico baseado num motor DC controlado pela armadura:- LAB1 - Trabalho para revisão dos conceitos já lecionados noutras disciplinas e que inclui: Exercícios sobre a Transformada de Laplace (direta e inversa); Exercícios sobre a manipulação de polinómios com o Matlab.
- LAB2 - Construção do modelo matemático de um sistema de controlo em posição. Representação do sistema através de um diagrama de blocos. Obtenção da função de transferência do sistema na forma analítica e usando o Matlab.
- LAB3 - Análise da resposta transitória e de regime estacionário do sistema usando o Matlab. São pedidos diversos valores dos parâmetros do sistema, que permitem obter os diversos tipos de resposta.
- LAB4 - Representação do Lugar das Raízes do sistema usando o Matlab. Verificação das especificações da resposta transitória em concordância com o obtido em LAB3. Projeto de um compensador e de um controlador para o sistema usando um conjunto de funções Matlab, desenvolvidas pelo docente.
The theoretical assessment will be carried out in two frequencies, the average of which will contribute 60% of the final grade. The remaining 40% comes from the average grade of the assignments, which are mandatory. Frequency and work averages cannot be less than 10 points. The minimum grade in any of the frequencies cannot be less than 8 points. The final assessment is subject to an Oral Test.
The Laboratory works are 4 and consist of an electromechanical control system based on a DC motor controlled by the armature:- LAB1 - Work to review the concepts already taught in other disciplines and which includes: Exercises on the Laplace Transform (direct and inverse); Exercises on the manipulation of polynomials with Matlab.
- LAB2 - Construction of the mathematical model of a position control system. Representation of the system through a block diagram. Obtaining the system transfer function in analytical form and using Matlab.
- LAB3 - Analysis of the transient and steady-state response of the system using Matlab. Different values of the system parameters are requested, which allow the different types of response to be obtained.
- LAB4 - Representation of the Place of the Roots of the system using Matlab. Verification of the specifications of the transient response in accordance with what was obtained in LAB3. Design of a compensator and a controller for the system using a set of Matlab functions, developed by the teacher.
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Mobility
Mobility
No
