Control Systems/Block Diagrams

Series State Space

Systems in Parallel

State Space Model

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28.08.2021

Control Systems/Block Diagrams - Wikibooks, open books for an open world

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In this image, the strange-looking block in the center is either an integrator or an ideal delay, and can be

represented in the transfer domain as:

 or 

Depending on the time characteristics of the system. If we only consider continuous-time systems, we can

replace the funny block in the center with an integrator:

The state space model of the above system, if A, B, C, and D are transfer functions A(s), B(s), C(s) and D(s) of

the  individual  subsystems,  and  if  U(s)  and  Y(s)  represent  a  single  input  and  output,  can  be  written  as

follows:

We will explain how we got this result, and how we deal with feedforward and feedback loop structures in

the next chapter.

Some systems may have dedicated summation or multiplication devices, that automatically add or multiply

the transfer functions of multiple systems together

Block  diagrams  can  be  systematically  simplified.  Note  that  this  table  is  from  Schaum's  Outline:  Feedback

and Controls Systems by DiStefano et al