Introduction to Systems and Automatic Control

1. Define the basic signals
2. Classify systems using their basic properties
3. Compute and analyse a transfer function of a LTI system
4. Compute and analyse a frequency response of a LTI system
5. Use a computer to simulate a LTI system
6. Identify components of an automatic control system
7. Conclude if a control system is stable
8. Apply a PID controller

Lectures are held for 2 hours each week in accordance with the weekly lesson plan.

Laboratory excersises are held for 1 hour each week in accordance with the weekly lesson plan.

1. Lectures: Course organization. Introduction and motivation; control example for 9K111 Fagot missile. Historical overview of control theory with a review of military applications. Exercises: Introduction to Scilab.
2. Lectures: Basic signals. Complex exponential; growing and dampening. Signal energy and power. Introduction to systems. Exercises: Basic signals. Energy and power.
3. Lectures: Input/output system model. Linear differential equation and its solution. Integrator and drawing of block diagrams. Exercises: Connection between block diagram and linear differential equation.
4. Lectures: First and second order systems. Initial condition, transient response, and stationary state. System properties: linearity and time invariance. Exercises: Simulation of first and second order system.
5. Lectures: Exponential and sinusoid as eignefunctions. Frequency response. Second-order differential equation for rotating turret. Exercises: Frequency response. Resonance.
6. Lectures: Transfer function. Poles, zeros and time responses. System inner stability. Seminar: Transfer function. Poles, zeros and time responses. System inner stability.
7. Lectures: Laplace transform. Transfer function, its poles and stability. Connecting systems: parallel, cascade and feedback connection. Exercises: Poles of a transfer function and stability.
8. Midterm.
9. Lectures: Review. Introduction to control theory. Open and closed loop control. Exercises: Control loop.
10. Lectures: Modelling of dynamic systems. A simple model of a rotating turret. Exercises: Dynamical model of a rotating turret.
11. Lectures: Observability, controllability and stability. Stability analysis. Exercises: Stability analysis.
12. Lectures: Quality indicatory of control systems in steady state. Exercises: Determining quality indicators from a simulated system response.
13. Lectures: PID controller. Tuning PID controller. Exercises: PID controller.
14. Lectures: Military applications of control theory. Exercises: Example simulations in Scilab: gun turret, torpedo, airplane.
15. Final exam.