Controls and Systems
Keywords |
Classification |
Keyword |
OFICIAL |
Basic Sciences for Electrotechnology |
Instance: 2011/2012 - 1S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
This course aims at providing the sudents with the necessary skills to perform the following tasks: analysis of feedback systems with static nonlinear elements; analysis of state space systems in continuous and discrete time; controller/observer synthesis; analysis of systems with stochastic inputs (after having acquired basic knowledge about stochastic processes).
Program
1. Nonlinear systems (analysis of feedback systems with static nonlinearities by means of the describing function method).
2. Discrete time signals and systems (Z transform, frequency domain analysis, discretization)
3. Analysis of state space systems (both in continuous and discrete time)
3.1. State space representation of higher order differential /difference equations.
3.2. The transfer function of a state space system.
3.3 - Solution of state space equations and modal analysis.
3.4 - Stability.
3.5 - Discretization of continuous state space equations by means of zero order hold.
3.6 - Controlability and observability
3.7 - Canonical forms.
4 - Control of state space systems.
4.1 – State feedback (with full state measurement).
4.2 – State observers.
4.3 – Feedback with state observation.
4.4 - Refrence tracking.
5. Linear systems with stochastic variables.
5.1 - Introduction to stochastic processes; correlation and spectral analysis.
5.2 - Response of a linear system to stochastic inputs.
5.3 - Introduction to stochastic filtering: the Kalman filter.
5.4 - Introduction to parameter estimation.
Mandatory literature
P. A. Cook;
Nonlinear Dynamical Systems. ISBN: 0-13-623216-7
Roman Kuc;
Introduction to Digital Signal Processing. ISBN: 0-07-035570-3
Isabel M. G. Lourtie;
Sinais e sistemas. ISBN: 972-592-130-5
Chi-Tsong Chen;
Linear system theory and design. ISBN: 4-8337-0191-X
J. L. Martins de Carvalho;
Sistemas de controle automático. ISBN: 85-216-1210-9
Teaching methods and learning activities
Lectures: Exposition on the board/slides.
Exercise classes: Solution of problem sheets proposed by the instructor, using, whenever possible, computer simulations with Matlab's Control Systems Toolbox and Simulink.
Software
Matlab
Evaluation Type
Distributed evaluation with final exam
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Attendance (estimated) |
Participação presencial |
56,00 |
|
|
|
Total: |
- |
0,00 |
|
Eligibility for exams
Students must participate at least in 75% of the exercise classes.
Moreover, they must obtain a minimum grade of 3.0 out of 20 in the midterm.
Calculation formula of final grade
Normal regime:
Final grade = max[40% (midterm grade)+60%(final examination); final examination]
Other regimes:
Final grade = Final examination grade
Examinations or Special Assignments
In order to obtain a final grade above 18/20 (i.e., 19 or 20), the students must be submitted to an oral exam, that will take place after the end of the re-sit examination period. The students in these conditions will have their names properly highlighted on the results sheet posted after the written exams.
Special assessment (TE, DA, ...)
The students admitted to the exam for being dismissed from frequency (under the items a), b) and c) of Article 4 of the General Evaluation Rules) will do, on the regular examination period, the same exam as the ordinary evaluation students. Obtaining a final classification superior to 18 marks (19 or 20) demands for an oral exam that will be done after the end of the re-sit examination period. The students in these conditions will have their names properly highlighted on the results’ sheet posted after the written exams. The exams to be done by the students in the special examination period (item 5 of Article 6 in the General Evaluation Rules) can be oral exams, in which case they will be previously noticed.
Classification improvement
Classification improvement can be done accordingly to item 1 of Article 10 of General Evaluation Rules. This means it can be done if the student, within the established deadlines, enrolls on the re-sit exam of the regular period in which he obtained approval or (exclusively) on one of the tests of the regular period of the following year.
Observations
Language of instruction: Portuguese