# CDS 101/110 - Loop Shaping: Difference between revisions

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{{cds101- | {{cds101-fa08}} | ||

{{righttoc}} | {{righttoc}} | ||

== Overview == | == Overview == | ||

The learning objectives for this week are: | |||

* Students should be to design a simple compensator with given performance and robustness (phase margin) specifications | |||

* Students should be analyze and understand the overall performance of the system using the Gang of Four | |||

* Students should compute the limits on the performance that arise from right half plane poles and zeros | |||

'''Monday:''' Loop Shaping ({{cds101 handouts| | '''Monday:''' Loop Shaping ({{cds101 handouts|L8-1_loopshape.pdf|Slides}}, {{cds101 mp3 placeholder|cds101-2007-11-26.mp3|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. | 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. | ||

* {{cds101 handouts| | * {{cds101 handouts|L8-1_loopshape_h.pdf|Lecture handout}} | ||

* MATLAB handouts: {{cds101 matlab| | * MATLAB handouts: {{cds101 matlab|L8_1_dfan.m}} | ||

'''Wednesday:''' Performance Limits ({{cds101 handouts| | '''Wednesday:''' Performance Limits ({{cds101 handouts|L8-2_limits.pdf|Slides}}, {{cds101 mp3|cds101-2007-11-28.mp3|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. | 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. | ||

* {{cds101 handouts| | * {{cds101 handouts|L8-2_limits_h.pdf|Lecture handout}} | ||

* MATLAB handouts: {{cds101 matlab| | * MATLAB handouts: {{cds101 matlab|L8_2_maglev.m}} | ||

'''Friday:''' Recitation sections | '''Friday:''' Recitation sections | ||

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== Reading == | == Reading == | ||

* {{ | * {{AM08|Chapter 11 - Loop Shaping}} | ||

** CDS 101: Read sections 11.1-11.3, skipping advanced subsetions [45 min] | |||

** CDS 110: Read sections 11.1-11.3 [60 min] | |||

** CDS 210: Review AM08 Ch 11.1-11.3, DFT Ch 4 and 5 [90 min] | |||

== Homework == | == Homework == | ||

* {cds101 handouts|hw7-fa08.pdf|Homework #7}} (due 24 Nov 08): {{cds101 handouts|hw7-101-fa08.pdf|CDS 101}}, {{cds101 handouts|hw7-110-fa08.pdf|CDS 110}}, {{cds101 handouts|hw7-210-fa08.pdf|CDS 210}} | |||

== FAQ == | == FAQ == | ||

'''Monday''' | '''Monday''' | ||

<ncl>CDS 101/110 FAQ - Lecture 9-1, Fall | <ncl>CDS 101/110 FAQ - Lecture 9-1, Fall 2008</ncl> | ||

'''Wednesday''' | '''Wednesday''' | ||

<ncl>CDS 101/110 FAQ - Lecture 9-2, Fall | <ncl>CDS 101/110 FAQ - Lecture 9-2, Fall 2008</ncl> | ||

'''Homework''' | '''Homework''' | ||

<ncl>CDS 101/110 FAQ - Homework 8, Fall | <ncl>CDS 101/110 FAQ - Homework 8, Fall 2008</ncl> |

## Revision as of 23:31, 16 November 2008

CDS 101/110a | Schedule | Recitations | FAQ | AM08 (errata) |

## Overview

The learning objectives for this week are:

- Students should be to design a simple compensator with given performance and robustness (phase margin) specifications
- Students should be analyze and understand the overall performance of the system using the Gang of Four
- Students should compute the limits on the performance that arise from right half plane poles and zeros

**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.

- Lecture handout
- MATLAB handouts: L8_1_dfan.m

**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.

- Lecture handout
- MATLAB handouts: L8_2_maglev.m

**Friday:** Recitation sections

## Reading

- K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Princeton University Press, 2008. Chapter 11 - Loop Shaping.
- CDS 101: Read sections 11.1-11.3, skipping advanced subsetions [45 min]
- CDS 110: Read sections 11.1-11.3 [60 min]
- CDS 210: Review AM08 Ch 11.1-11.3, DFT Ch 4 and 5 [90 min]

## Homework

## FAQ

**Monday**
<ncl>CDS 101/110 FAQ - Lecture 9-1, Fall 2008</ncl>
**Wednesday**
<ncl>CDS 101/110 FAQ - Lecture 9-2, Fall 2008</ncl>
**Homework**
<ncl>CDS 101/110 FAQ - Homework 8, Fall 2008</ncl>