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Summary: Control Systems Design, SC4026
SC4026 Fall 2011, dr. A. Abate, DCSC, TU Delft
Lecture 7
· From state-space models to frequency domain
· Transfer Functions
· Properties of Transfer Functions
invariance
gains, poles, zeros
block diagrams
Bode plot
· Frequency domain analysis
· PID control
SC4026 Fall 2011, dr. A. Abate, DCSC, TU Delft 1
Transfer Functions
· Recall the block-diagram representation of dynamical models. Transfer
Functions compactly represent the linear relationship between
inputs and outputs of a system.
Usually they can be constructed from measured data
· Start with a state-space representation x = Ax + Bu, y = Cx + Du
· Consider inputs of the form
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