# Difference between revisions of "CDS 110b: Robust Stability"

Line 17: | Line 17: | ||

== Frequently Asked Questions == | == Frequently Asked Questions == | ||

+ | '''Q: Is there any way to bode plot (exp(-ts)-1) in MATLAB?''' | ||

+ | <blockquote> | ||

+ | You can't use the 'bode' command, since the exponential makes that expression not a polynomial transfer function. If all you're interested in is the magnitude though, (as in this week's homework set) you can plot that explicitly, as follows. (This should look familiar for those of you who took 110A, since we had you do a bode plot without using the bode command a long time ago.) | ||

+ | |||

+ | omega = logspace(some_start, some_end, some_num); | ||

+ | loglog(omega, abs(exp(-t*i*omega)-1)); | ||

+ | |||

+ | I recommend doing help logspace and help loglog to understand what those functions do -- they're not too tricky. | ||

+ | </blockquote> |

## Revision as of 19:25, 28 February 2006

WARNING: This page is for a previous year.See current course homepage to find most recent page available. |

Course Home | L7-2: Sensitivity | L8-1: Robust Stability | L9-1: Robust Perf | Schedule |

This lecture describes how to model uncertainty in \(H_\infty\) control and provides conditions for checking robust stability in this framework.

## Lecture Outline

- Modeling uncertainty
- Robust stability
- Preview: robust performance

## Lecture Materials

- Lecture notes (MP3)
- Reading: DFT, Chapter 4
- HW #7 (due 1 Mar)

## References and Further Reading

## Frequently Asked Questions

**Q: Is there any way to bode plot (exp(-ts)-1) in MATLAB?**

You can't use the 'bode' command, since the exponential makes that expression not a polynomial transfer function. If all you're interested in is the magnitude though, (as in this week's homework set) you can plot that explicitly, as follows. (This should look familiar for those of you who took 110A, since we had you do a bode plot without using the bode command a long time ago.)

omega = logspace(some_start, some_end, some_num); loglog(omega, abs(exp(-t*i*omega)-1));

I recommend doing help logspace and help loglog to understand what those functions do -- they're not too tricky.