Course detail
Control Theory 1
FEKT-BPC-RR1Acad. year: 2023/2024
Basic terms is Control Theory .Feedforward and feedback control. Simple on-off and proportional control(continuous and discrete type). Performance evaluation of feedback controllers. Stability of feedback systems. Steady state and dynamics errors. Root locus method and frequency analysis. PID controllers. PID controllers design methods. Systems with multi feedback loops. Digital PSD controllers. Multivariable feedback control.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Entry knowledge
Rules for evaluation and completion of the course
70 points from final written exam
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.
Aims
Ability to apply measuring and control systems. Ability to design, use and maintain systems of applied infromatics. Automation of industrial technologies.
Study aids
Prerequisites and corequisites
Basic literature
Blaha, P., Vavřín, P.: Řízení a regulace I: Základy regulace lineárních systémů - spojité a diskrétní. Elektronické skriptum VUT, pp. 1-214, 2019. (CS)
Recommended reading
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Controllers, basic components and properties.
3. Anaysis of feedback control system. Basic transfer functions in feedback control systems, steady state error behavior.
4. Dynamical properties of closed-loop systems. Integral criterion for control performance evaluation.
5. Stability of feedback control systems, Hurwitz, Routh-Schur and Nyquist stability criterion.
6. Root locus analysis.
7. Analysis of control loops in frequency domain. Gain, phase and modulus margin.
8. Controller synthesis in frequency domains. Bode loop shaping method.
9. Optimal module design, method of optimal time response, Ziegler-Nichols method.
10. Controller design methods based on suitable closed loop poles placement and on standard shapes of characteristic polynomials.
11. Digital controller synthesis. Conversion of continuous time PID to discrete PSD controller.
12. Control Systems with additional loops. Cascade control, model based control, Smith predictor (time delay compensation).
13. Multivariable feedback control. Diagonal and disturbance decoupling problem.
Fundamentals seminar
Teacher / Lecturer
Syllabus
2. Transfer functions in feedback control circuits. Initial and final value theorems. Selection of the controller type - steady state error (during tracking and disturbance attenuation).
3. Closed loop system stability - Nyquist stability criterion. Analysis and synthesis using root locus method.
4. Ziegler-Nichols tuning method.
5. Design of controllers using the optimal module method. Controller design in frequency domain.
6. PSD controller, discretization of continuous controllers. Multivariable control system design.
Exercise in computer lab
Teacher / Lecturer
Syllabus
2. Influence of feedback and controller parameters on control system performance.
3. Integral criterias as a metrics for control performance evaluation – IAE, ISE, ITAE, MSE. Optimal controller design.
4. Ziegler-Nichols tuning method. Sisotool in MATLAB.
5. Open loop frequency response loop shaping controller design. PSD controller.
6. Dead-beat control problem.
Elearning