Course name MATLAB and SIMULINK II Code 0004043400 Credit points

6

Language of instruction English

Programme Mechanical Engineering and Applied Computer Science

Type of studies MSc studies

Unit running the programme

Department of Automatics and Biomechanics

Course coordinator and academic teachers

Prof. J. Awrejcewicz,

P. Olejnik PhD

Form of classes and number of hours

Semester Lec. Tut. Lab. Proj. Sem. Credit points

8 –spring 30e 30 6

Learning outcomes Students will have learned and practiced when and why control in automatic systems is necessary and what are the performance goals. On the basis of Simulink diagrams students will investigate dynamical systems which, in general, require improvement and compensation.

Prerequisites The students are assumed to have had a course on linear systems and Matlab script programming language, where Laplace transform were used to solve linear ordinary differential equations. Students are respected to be credited with the following courses:

Mathematics III (0004030100), Dynamics and Control (0004031700), Matlab and Simulink (0004043300)

Course description LECTURE

The lecture focuses on the modelling of linear and nonlinear dynamical SISO systems (a large class of systems that have a single reference input and a single measured output). Controllers and their design are made to compensate some undesirable signals affecting the investigated numerical systems. This lecture consists of the following main subsequent parts (topics): 1. Solutions to the systems of second order differential equations; 2. Modelling of a house thermodynamics by taking into account some of the real effects associated with house heating process being investigated according to daily temperature changes; 3. Cruise control; 4. Basic PMDC motor modelling; 5. Modelling of a car suspension system using transfer function representation.; 6. Newton’s laws building and by means of the obtained equations constructing of the optimized train Simulink-model; 7. Implementation of a simple impact oscillator described by one degree-of-freedom system with discontinuities; 8. Analysis of a inverted pendulum in the case of compensation (PID compensation also with disturbances in pendulums’ position and exciting force) and without it (open-loop impulse response); 9. Synthesis of PID regulator with nonlinear control design block; 10. Stick-slip oscillations in a forced mechanical system; 11. Lag and Lead compensation on the basis of motor speed and ball on beam examples; 12. Water-level control system.

LABORATORY

On the basis of given lecture students will practice their knowledge about control system design and about building of a block-diagrams. Laboratories are named as lecture topics from 1-12 (see lecture description given above). Each laboratory takes two academic hours except the 12th, which takes four academic hours.

Form of assessment Written exam consists of two theoretical questions chosen from the given ten lecture topics (40% of the whole note). Assessment of all twelve laboratories with the note greater then 3 (60% of the whole note). Attendance in at last eleven laboratories.

Basic reference materials Wolovich W. “Automatic Control Systems – Basic Analysis and Design,” Saunders College Publishing, New York, 1994.

Other reference materials

Van de Vegte J. “Feedback Control Systems,” Prentice-Hall International Editions, New Jersey, 1986.

e-mail of the course coordinator and academic teachers

awrejcew@p.lodz.pl tel. 23-78

olejnikp@p.lodz.pl tel. 23-39

Average student workload (teaching hours + individ )

30+15

Remarks:

none

Updated on: 2004-10-05