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Dynamic Systems

General data

Course ID: 103A-CTxxx-ISA-EDYSY Erasmus code / ISCED: (unknown) / (unknown)
Course title: Dynamic Systems Name in Polish: Dynamic Systems
Department: The Faculty of Electronics and Information Technology
Course groups: ( Courses in English )--eng.-EITI
( Technical Courses )---EITI
( Technical Courses )--eng.-EITI
ECTS credit allocation (and other scores): 6.00
Language: English
(in Polish) Jednostka decyzyjna:

(in Polish) 103000 - Wydział Elektroniki i Technik Informacyjnych

(in Polish) Kod wydziałowy:

(in Polish) EDYSY

(in Polish) Numer wersji:

(in Polish) 1

Short description:

The main objective in preparing the English version of my lectures on "Dynamic Systems" is to present the subject in a new, clear and mathematically simple form kept in the spirit of modern science. The topics covered form the core for many engineering subjects, specially those connected with control and robotics. They include modelling of various types of physical systems, a thorough analysis of continuous- and discrete-time linear models, the state-space and transform techniques, the problems of stability, and the basic information about non-linear systems and phenomena. All theoretical considerations are supported by representative set of examples, which together with more advanced part of the taught material, are distributed among the students in the form of handouts.

Full description:

The main objective in preparing the English version of my lectures on "Dynamic Systems" is to present the subject in a new, clear and mathematically simple form kept in the spirit of modern science. The topics covered form the core for many engineering subjects, specially those connected with control and robotics. They include modelling of various types of physical systems, a thorough analysis of continuous- and discrete-time linear models, the state-space and transform techniques, the problems of stability, and the basic information about non-linear systems and phenomena. All theoretical considerations are supported by representative set of examples, which together with more advanced part of the taught material, are distributed among the students in the form of handouts.


Lecture contents
Introduction. Classification of systems. Mathematical model of a physical system and its representation in the state space. The state of equilibrium and its stability. Static characteristics. Linearization about equilibrium and about nominal trajectory (4L+4R)*.

Continuous-time linear systems. Differential state equations. The state transition matrix and its properties. Superposition principle. Impulse response matrix. Stationary systems: Stability - basic definitions and theorems, algebraic criteria; Transfer and frequency response matrices; Zeros and poles; Step- and frequency- response of basic structures; Nyquist and Bode plots; Minimum and non-minimum phase systems; transportation lags. Dynamic systems with two independent variables - examples of systems described by partial differential equations of the first and second order; the transfer function and its dependence on the boundary conditions (12L + 12R).

Discrete-time linear systems. Difference state equations. The state transition matrix. Superposition principle. Stationary systems - stability analysis. Sampled-data systems - Samplers and holding devices; State-space representation; discrete transfer matrices; the effect and sampling frequency on the system dynamics (4L + 4R).

Feedback systems. Stability - Nyquist criterion. Controllability and stabilizability, observability and detectability. Controllable and observable canonical forms of the state equations; Minimal realization. Pole assignment via the state variable feedback; (8L + 8R).

Nonlinear systems. Comparison of linear and nonlinear systems - essential differences. Systems of the second order - phase plane approach. Stability - an outline of the direct method of Lyapunov (2L +2R).

*) L - Lecture hours/semester, R- Recitation hours/semester

Bibliography:

  • Ogata K., Modern Control Engineering, Third Edition, Prentice Hall, 1997.

  • ADDITIONAL READING: Lecturer`s handouts.

Assessment methods and assessment criteria:

EDYSY: during the semester students take two tests, from each test they can obtain 30 points. it is necessary to have at least 50 % of points (i.e. at least 30 points) to pass.



Classes in period "Summer Semester 2013/2014" (past)

Time span: 2014-02-24 - 2014-09-28
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 45 places more information
tutorials, 30 hours, 45 places more information
Coordinators: Maciej Ławryńczuk
Group instructors: Maciej Ławryńczuk
Students list: (inaccessible to you)
Examination: Overall grade
(in Polish) Jednostka realizująca:

(in Polish) 103100 - Instytut Automatyki i Informatyki Stosowanej

Classes in period "Winter Semester 2013/2014" (past)

Time span: 2013-10-01 - 2014-02-23
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 45 places more information
tutorials, 30 hours, 45 places more information
Coordinators: Piotr Marusak
Group instructors: Piotr Marusak
Students list: (inaccessible to you)
Examination: Overall grade
(in Polish) Jednostka realizująca:

(in Polish) 103100 - Instytut Automatyki i Informatyki Stosowanej

Classes in period "Summer Semester 2012/2013" (past)

Time span: 2013-02-20 - 2013-09-30
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 45 places more information
tutorials, 30 hours, 45 places more information
Coordinators: Maciej Ławryńczuk
Group instructors: Maciej Ławryńczuk
Students list: (inaccessible to you)
Examination: Overall grade
(in Polish) Jednostka realizująca:

(in Polish) 103100 - Instytut Automatyki i Informatyki Stosowanej

Classes in period "Winter Semester 2012/2013" (past)

Time span: 2012-10-01 - 2013-02-19
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 45 places more information
tutorials, 30 hours, 45 places more information
Coordinators: Piotr Marusak
Group instructors: Piotr Marusak
Students list: (inaccessible to you)
Examination: Overall grade
(in Polish) Jednostka realizująca:

(in Polish) 103100 - Instytut Automatyki i Informatyki Stosowanej

Course descriptions are protected by copyright.
Copyright by Warsaw University of Technology.