Continuous-time systems:
The Laplace transform with transfer functions, poles and root-locus
Fourier series and the Fourier transform
Discrete-time systems:
The Z-transform, transfer functions
Applications: Control systems and feedback systems
Continuous-time systems:
The Laplace transform with transfer functions, poles and root-locus
Fourier series and the Fourier transform
Discrete-time systems:
The Z-transform, transfer functions
Applications: Control systems and feedback systems
That the student should acquire basic knowledge about mathematical methods for analysis of continuous-time and discrete-time signals and ability to use continuous-time methods within automatic control.
After finishing he course, the students should be able to:
Part 1, transforms.
Part 2, Control systems
Mathematical knowledge corresponding to the course Mathematics 1 HF1901/HN1901.
Literature
LAPLACETRANSFORMER och z-TRANSFORMER, Lars Bergström ,Bertil Snaar, Natura Läromedel
Thomas, Bertil: Modern Reglerteknik, Liber, ISBN 91-47-05085-3
Thomas, Bertil: Modern Reglerteknik, Övningsbok, Liber, ISBN 91-47-05103-5
If the course is discontinued, students may request to be examined during the following two academic years.
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Applications of mathematical theory, especially transform theory (Laplace, Z- and Fourier transforms) are vital in the course.