LEARNING OUTCOMES

The aim of the course is to provide the tools to study the dynamics of mechanical systems with linear models, single-input/single-output, introducing the concepts of open-loop and closed-loop, and the criteria to assess the behaviour of servomechanisms. The fundamentals of digital automation systems are presented.

AIMS AND LEARNING OUTCOMES

The course aims to provide basics of the theory of linear systems, with particular reference to single-input single-output (SISO) systems. Both the analysis in time domain and in frequency domain (by means of the Laplace transform) are treated. The concepts of open loop systems and closed loop (control loop) are discussed, and case studies and examples, in particular on mechanical and mechatronic systems, are presents.

At the end of the course, the student will be able to:

• develop the dynamic model of an open loop mechanical/mechatronic system using the theory of linear systems
• select a suitable controller transfer function, fulfilling the requirements on accuracy, readiness and stability for the considered application
• select an off-the-shelf controller adequate to implement the selected control transfer function

TEACHING METHODS

Theoretical lessons integrated with examples and exercises. The students can extend the exercitations by means of MatLab.

SYLLABUS/CONTENT

General introduction and presentation of the feedback concept (open loop / closed loop)

Linear systems: differential equations, natural response, forced response in transient and steady state

Laplace transform

Complex numbers, ratios of polynomials with real coefficients and their decomposition

Transfer function, poles, zeroes and stability

Frequency response

Bode diagram and its asymptotic tracking

Transfer function in closed loop

Stability of closed loop systems

Phase margin and Gain margin

System errors and system types

Specifications for controlled systems

Types of regulators

Method of the root locus

Brief explanation of logical networks, PLC and axis control

RECOMMENDED READING/BIBLIOGRAPHY

The lessons are available on Aulaweb.

It’s highly recommended to attend the course.

For auxiliary integrations: Control Engineering – an introductory course –
J. Wilkie, M. Johnson, R. Katebi; Palgrave, 2002, ISBN 0-333-77129-X