| TTIT63 | Linear Feedback Systems, 10,5 ECTS credits. /Tema: �.terkopplade linjära system/ |
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Prel. scheduled
hours: 58 |
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Area of Education: Technology Subject area: Mathematics/Electrical Engineering |
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| Advancement level
(A-D): C
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| Aim: To acquire an understanding of control theory and the required mathematical tools. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Calculus, Linear algebra, Basic control theory corresponding to TTIT62 Real time process control Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: See the handbook of studies part 1. |
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| Course contents: Analysis of controlled dynamical systems described by systems of ordinary differential equations. In the course we are mainly concerned with linear time invariant systems and the corresponding differential equations, which then turn out to be linear with constant coefficients. The solutions, representing signals in the system, are studied either as functions of time or, through the Laplace transform, as functions of a complex frequency. The quotient between the input and output signals in the frequency domain defines the transfer function of the system whose dynamical behavior can be related to the location in the complex plane of the singularities of the transfer function. A central part of the course is devoted to the study of different forms of feedback and how this affects the stability and other dynamical qualities of a system. Concepts such as controllability and observability are also introduced and analyzed with methods from linear algebra. The mathematical tools in use are, apart from basic calculus and introductory linear algebra, the Laplace transform and the resolvent- and exponential matrix and their connection with annihilating polynomials for matrices. Concepts such as null space, rang, eigenvalue and eigenvector are important as well. Computers are used frequently in both symbolic and numerical computations and in simulations of the systems. |
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| Course literature: According to literature list. |
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| Examination: | |||
| Computer examination Laboratory assignment Written hand-in exercises Work in PBL group |
5 p 1 p 1 p 0 p |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Arne Enqvist Examiner: Kurt Hansson Link to the course homepage at the department Course Syllabus in Swedish |
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