Analysis and synthesis of linear systems with one input and one output signal (SISO); transition matrix; stability; controllability; observability; Laplace transform; transfer functions; transient and steady state responses. PID control; dynamic compensators; Nyquist theorem.
Introduction to main ideas of linear systems analysis and synthesis. Transient and steady-state behavior, system engineering (input/output, static/dynamic behavior, feedforward and feedback loops, etc.), introduction of most important tools (solution of linear ODE, Laplace transformation, Nyquisttheorem, etc.). Elementary controller synthesis methods.
Modeling and linearization of dynamic systems with single input and output signals. State-space description. Analysis (stability, reachability, observability, etc.) of open-loop systems. Laplace transformation, systems analysis in the frequency domain. Transfer functions and analysis of the influence of its poles and zeros on the system's dynamic behavior. Frequency response. Analysis of closed-loop systems using the Nyquist criterion. Formulation of performance constraints. Specification of closed-loop system behavior. Synthesis of elementary closed-loop control systems (PID, lead/lag compensation, loop shaping).
Lino Guzzella: Analysis and Synthesis of Single-Input Single-Output Control Systems, 3rd Edition, 2011, vdf Hochschulverlag AG
Prerequisites / Notice
Basic knowledge of (complex) analysis and linear algebra