Dynamics and Control

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.

• Lecture 28 Notes
• Offset Worksheet
• Block Diagram Algebra Worksheet

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.