DOC PREVIEW
Berkeley ELENG 228A - System Theory

This preview shows page 1-2-19-20 out of 20 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 20 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 20 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 20 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 20 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 20 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

System TheoryContentsOverviewLinear SystemsNyquistNyquistFunctional Differential EquationsFDEFDESystem TheoryEECS 228aJean WalrandUniversity of CaliforniaBerkeley2ContentsnOverviewnLinear SystemsnNyquistnFunctional Differential Equations3Overviewu(t)y(t)x(t)Examplex(t) = statesisoGeneralu(t) = inputy(t) = outputMIMOu(t)y(t)mk4Overview …Feedback Control SystemGoals of Control•Path following•Stabilization •Disturbance rejection•Performance improvement•Robustness w.r.t. System uncertainties or imperfections5Linear SystemsLaplaceTransform6Linear Systems7Linear SystemsExample8Linear SystemsExample9Linear SystemsObservationsuvDArg(s - u)Arg(s - v)+10NyquistSlide from a takby Glenn Vinnicombe11NyquistsDR >> 112NyquistSlide from a takby Glenn Vinnicombe13NyquistMIMO Case:14NyquistExample 1èClosed-Loop is stable15NyquistExample 2- 1016NyquistExample 2 …è Stable if T < 1.35s17Functional Differential Equations18Functional Differential EquationsExample:-2024681012-3 -2 -10 1 2 31.210.819FDE-60-40-2002040600 500 1000 1500 2000 2500 3000 3500 4000 45001.021.0420FDE-4-3-2-101234-20 2 4 6- 10-4-3-2-101234-20 2 4


View Full Document

Berkeley ELENG 228A - System Theory

Documents in this Course
FAST TCP

FAST TCP

57 pages

Load more
Download System Theory
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view System Theory and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view System Theory 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?