Control Theory 1

• 39 hrs lectures
• 14 hrs exercises
• 12 hrs pc labs

Designing, using and managing of control systems (feedforward as well as feedback)
Ability to apply measuring and control systems. Ability to design, use and maintain systems of applied infromatics. Automation of industrial technologies.

The subject knowledge on the secondary school and appropriate mathmatics are requested.

• Distefano, J. J., Stubberud, A. R. and Williams, I. J.: Feedback and Control Systems. McGraw-Hill Companies, 1994.
• Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control - analysis and design. Wiley, 2005, ISBN: 978-0-470-01167-6.

1. Introduction. Control Systems and their examples.
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. Revision.

1. Basic systems, stability, block algebra. Dynamic systems, notations, all in continuous and discrete time domain.
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.

1. Introduction, MATLAB, functions in Control System Toolbox and Simulink
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.

30 points from tests and activity during seminars and computer exercises (mid semester test 15 points, individual project 15 points)
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.