Chapter nine

These tutorials are on the theme of linear feedback control, for example with G(s) representing a system, M(s) a compensator and d an input disturbance signal:

Core skills are things such as:

• How do I analyse the expected behaviour of the closed-loop?

• How do I use analysis tools to facilitate control design?

• Are there classical controller structures which are simple and easy to use?

Here the focus is on root-loci and frequency response tools alongside lead and lag compensators.

The tutorials are a combination of PDF files, with brief worked solutions and video talk through tutorials showing detailed problem solving procedures.

IN PROGRESS

1. Root locus

• Tutorial sheet (PDF, 576KB)

• Video tutorial on gain selection using MATLAB tools

• Video tutorial on simple sketching

• Video tutorial on using sketches for proportional design

Frequency Response

Tutorial sheet (PDF, 703KB)

Tutorial (PDF, 524KB) and video on frequency response

Bode Diagrams

• Tutorial sheet one (PDF,878KB)

• Tutorial sheet two (PDF, 767KB)

• Tutorial (PDF, 551KB) and video on sketching with asymptotic methods

• Tutorial sheet including design aspects (PDF, 765KB)

Nyquist Diagrams

Tutorial sheet (PDF, 493KB) with supporting video

Tutorial sheet (PDF, 452KB) with supporting video

Tutorial sheet one (PDF, 632KB)

Tutorial sheet two (PDF, 505KB)

Gain and phase margins

• Main tutorial sheet (PDF, 525KB)

• Typical exam questions (PDF, 601KB)

• Simple tutorial questions (PDF, 450KB) and video

• Lag compensation (PDF, 431KB) and video

• Lead compensation (PDF, 448KB) and video

  • • Obvious typos:

      • At 5.30 (square root of beta instead of beta)

      • At 13.30 (cross over frequency of 9.75 as opposed to 9.43)