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| MATL7172 | Mathematical Control Theory | 3+0+0 | ECTS:7.5 | | Year / Semester | Spring Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | The course aims to provide students with the basics of mathematical control theory and its applications |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | have a working knowledge of applications of control theory | | | | PO - 2 : | analyse discrete systems using Z-transform | | | | PO - 3 : | apply Lypunov method for stability analysis | | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Introduction to control theory, classical control theory and transform theory, continous-time systems: Laplace transform, discrete-time systems: z-transform, preliminaries for matrix theory, matrix solutions for linear systems, linear control systems, controllability, observability, controllability and polynomials, linear feedback, constant systems, varying systems, stability, definitions of stability, algebraic criteria of linear systems, Nyquist theory for linear systems, Liapunov theory, Application of Liapunov theory to the linear systems, Construction of Liapunov functions, stability and control, nonlinear feedback, optimal control, performance indices, calculus of variations, Pontryagins principle, linear regulator, dynamical programming. |
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| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 10 | 11/05/2019 | 2 | 30 | | In-term studies (second mid-term exam) | 4,8,12,14 | | | 20 | | End-of-term exam | 16 | 23/5/2019 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | | | | |
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