CDS 101/110 - Loop Shaping

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CDS 101/110a Schedule Recitations FAQ ()

Overview

Monday: Loop Shaping (Slides, MP3)

This lecture describes how to design a control system by converting the performance specifications to constraints on the loop transfer function, and then shaping the loop transfer function to satisfy the constraints. Sensitivity functinos are defined and tradeoffs between different input/output transfer functions are discussed.

Wednesday: Performance Limits (Slides, MP3)

This lecture investigates some of the limits of performance for feedback systems, including the effects of right half plane poles and zeros on the closed loop system performance. A magnetic levitation system and lateral control of the Caltech ducted fan are used to illustrate the basic concepts.

Friday: No class (Thanksgiving holiday)

Handouts

Monday Wednesday (CDS 110) Friday
  • No lecture

Reading

  • K. J. Åström and R. M. Murray,, Preprint, 2006..

Homework

This homework set provides practice in specification, design and limits of control systems using loop shaping. The first problem explores the relationship between the loop transfer function and the closed loop response. The second problem explores some of the effects of right half plane zeros on control performance. The third and fourth problems (CDS 110) are simple design problems for an insect flight control system and a magnetic levitation system.

FAQ

Monday

Wednesday

Friday

Homework