Ο4: Principles of Systems Theory

Lecturer: J. Boutalis
Academic Credits: 0.

Description:
1. Introduction. Historical review. Basic definitions and types of Basic problems of systems. Open and closed systems, system theory applications, optimal control of systems in different scientific fields. Basic steps in system design.
2. Mathematical models for the description of physical systems. Integral and Differential Equations. Transfer function. Impulse response. State space description. Poles and zeroes. Flow chart algebra. Signal Flow Graphs. Dynamic system simulation using numerical solution of differential equations with MATLAB.
3.Feedback characteristics of control systems. Systems with and without feedback. Reduction of parameter sensitivity using feedback. Reduction of disturbances using feedback.
4. Analysis of system response in the time domain. Errors at the steady state and error constants. The effect of adding a zero to the system.
5. Analysis of system response in the frequency domain. Relation between the responses in the time and frequency domain.
6. Stability concepts and algebraic criteria. Internal and external stability. Asymptotic stability and Lyapunov stability. Passivity concept. Necessary conditions for stability. Stability criteria by Hurwitz and Routh.
7. Analysis of systems in the state space. The concept of state variables. State space model of linear time-invariant systems. Solution to the state space model. System diagonalization.
8. Controllability and Observability of systems.