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## Lecture Notes 28

### Lecture 28 - Block Diagram Algebra

With an introduction to block diagrams, we can take the next step to compute the closed-loop dynamic response. Lecture 28 covers the rearrangement of the block diagram to obtain the response of the system (Y(s)) with a change in the closed-loop setpoint (Ysp(s)). This closed loop transfer function (Gcl(s)=Y(s)/Ysp(s)) can help design controller parameters, determine oscillatory closed-loop behavior, and determine the degree of steady-state offset.

Please use the following videos to check your work for 11.7 and 11.10 after you have completed the problem.

#### Solution to 11.7

#### Solution to 11.10 with MATLAB

Relate each problem in the context of the overall course objectives.

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