455-0518/01 – Control Systems I. (RS1)
Gurantor department | Department of Measurement and Control | Credits | 5 |
Subject guarantor | Ing. Vladimír Kašík, Ph.D. | Subject version guarantor | Ing. Vladimír Kašík, Ph.D. |
Study level | undergraduate or graduate | Requirement | Choice-compulsory |
Year | 3 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2003/2004 | Year of cancellation | 2009/2010 |
Intended for the faculties | FEI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
This course is aimed to introduce students with a theory of control on continuous linear dynamic systems, which is used in various technical branches. Keeping the student's speciality, many of analyzed examples are focused to electrical, thermal and hydraulic systems. The students will be able to make an analysis of continuous linear dynamic system in time and frequency domain after passing that course. They will be able to make a design of a regulator for controlled system with any design method following control requirements.
Teaching methods
Lectures
Individual consultations
Tutorials
Project work
Summary
The course builds up comprehensive theory of automatic control of continuous linear dynamic systems. The system and its outer description, basic dynamic systems and their dynamic characteristics - step response, impulse response and frequency response, parameters identification. Block diagrams transformation. The stability - algebraic and frequency criterions. The synthesis of continuous control systems. State space of dynamic systems.
Compulsory literature:
Lewis,F.L.: Optimal Control. John Wiley&Sons 1992
Ogata,K.:Modern Control Engineering. Prentice-Hall 1990.
Shinners,S.M.:Modern Control System Theory and Design. John Wiley&Sons 1986
Recommended literature:
Kašík,V.:Řídicí systémy I. Sylaby na WWW stránkách katedry,2002
Way of continuous check of knowledge in the course of semester
Verification of study:
2 individual works and 1 test.
Conditions for credit:
The student must reach at least 10 points and maximum of 2 absences.
E-learning
Other requirements
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
The subject of technical cybernetics, history and development. Dynamic systems, basic terms.
Inner and outer description of dynamic systems, analytic identification methods. Astatic systems.
Linearization of systems, steady state. Experimental identification methods, deterministic methods.
Step and impulse response and their evaluation.
Complex and logarithmic scale frequency response.
The methods of frequency response evaluation. Transfer function.
The stability of dynamic systems, stability criterions. Hurwitz's and Nyquist's criterion.
Basic types of dynamic systems.
State description of linear continuous dynamic systems. Drawing of state diagrams. Controllability, observability.
Linear regulators and their characteristics.
Continuos-time Linear Control Systems Design. Deviations and computation of them.
The method of the control system design by Ziegler-Nichols. Frequency methods of control system synthesis. The method of symetric optimum.
The methods of regulation process quality evaluation. Compensation and design using the Bode-diagram method. Optimal Module method .
Exercises:
Introduction. Laplace transform, solving examples.
Mathematical models of real systems. Transfer functions and state diagrams. Linearization.
Manipulations with block diagrams.
Stability of dynamic systems. Presentation of the 2-nd individual work.
The design of control systém with the method of Ziegler-Nichols.
Test.
Computer labs:
Differential equation solving using L-transformation, introduction with CC and Matlab.
Step and impulse response, working with PC. Setting the 1-st individual work.
Frequency responses in logarithmic scale, verification on PC. Setting the 2-nd homework. Presentation of the 1-st homework.
Determining the dynamic systém stability using the Hurwitz and Nyquist criterion, verification on PC.
Transfer functions of conventional regulators, computation of state arrays, verification on PC.
Computation of control system deviations. Controllability, observability. Verification on PC. Setting the 3-rd homework.
Control system synthesis using frequency methods, verification on PC.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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