Systémy a modely pro vesmírné aplikace

Lecturer:

Jan Štecha (gar.)

Tutor:

Lukáš Ferkl, Jan Štecha (gar.)

Supervisor:

Department of Control Engineering

Synopsis:

The course deals with different description of dynamic systems - continuous, discrete, stochastic - state space and input-output description of them. Basic identification methods are introduced to show how to obtain the model of the system from the data. The next part of the course analyses the properties of the system - stability, reachability, observability and realizability. The last part of the course covers theory how to change the dynamical properties of the system - state space feedback, state observer and stabilizing controllers.

Requirements:

Basic course on linear algebra: linear space, basis, dimension, matrix analysis (determinant, rank, kernel, image, eigenvectors/eigenvalues (algebraic multiplicity and geometric multiplicity), Jordan decomposition, singular values, Singular Value Decomposition, functions of matrices).

Basic course on differential and difference equations: solving of linear differential equations, Laplace transformation, Z transformation.

Syllabus of lectures:

1.Systems and signals

2.State space description

3.Linear systems characteristics

4.Identification

5.Solution of differential (difference) state space equations

6.Realization theory, System poles and zeros

7.Stability

8.Reachability, stabilizability

9.Observability, detectability

10.Block Diagrams

11.Transformations of state

12.State feedback

13.State observer

Syllabus of tutorials:

Study Objective:

Study materials:

1.Chi-Tsong Chen: Linear System Theory and Design, 3rd ed., Oxford University Press, 1998, ISBN 0195117778.

2.Gene F. Franklin, J. David Powell and Abbas Emami-Naeini: Feedback Control of Dynamic Systems, 5th ed., Prentice Hall, 2002, ISBN 0131499300.

3.Huibert Kwakernaak and Raphael Sivan: Modern Signals and Systems, Prentice Hall, 1990, ISBN 0138092524.

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri
Thu	roomKN:E-24 Štecha J. 10:00–12:30 (lecture parallel1) Karlovo nám. Laboratoř TŘ1roomKN:E-2 Ferkl L. 14:30–15:15 (lecture parallel1 parallel nr.101) Karlovo nám. Laboratoř PC
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: