Automatic Control

7.5 credits

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All treated dynamical systems are time continuous and time invariant. With a few exceptions, they are all linear.

Introduction to automatic control: history, examples of control system and basic concepts of automatic control.

Modeling of dynamical system using time invariant ordinary differential equations. Linearization, state-space model, weighting function, Laplace transform, transfer function, Nyquist- and Bode diagram.

Analysis of dynamic system. Concepts of stability. Analysis of stability using Root locus, Routh-Hurwitz criterion, the

principle of the argument and the Nyquist criterion. Gain margin and phase margin.

Synthesis of control systems. Specifications, pole-placement,

lead-lag compensation, PID-controller, feed forward, cascade compensation, robustness, sensitivity for disturbances and changes in parameters.


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