MECH466 - Lecture19-FrequencyDomainSpecifications-2009W

MECH466 Lecture19--2009W

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ew) Bode plot of a series connection G1(s)G2(s) is Bode the addition of each Bode plot of G1 and G2. C(s) C(s) G(s) G(s) Gain Gain Controller Stable plant Reshape Bode plot of G(jω) Reshape into a “desired” shape of desired” Phase Phase We use this property to design C(s) so that We C(s) G(s)C(s) has a “desired” shape of Bode plot. G(s)C(s) desired” by a series connection of appropriate C(s). C(s). 2008/09 MECH466 : Automatic Control 31 2008/09 MECH466 : Automatic Control 32 8 Simple controllers C(s) C(s) Bode plot of a gain (review) dB G(s) G(s) Controller Stable plant We use simple controllers for shaping. We Gain Gain deg Lead and lag compensators Lead 2008/09 MECH466 : Automatic Control 33 2008/09 Bode plots of lead and lag C(s) Lead compensator Examples of gain margin and phase margin Examples Frequency domain specifications Frequency Frequency shaping (Loop shaping) on Bode plot Frequency 0 15 -5 10 0 -2 10 Gain Gain Lead, lag, and lead-lag compensators Lead, lead- -10 5 -1 10 0 10 1 10 MEMORIZE THESE -15 SHAPES!!! -20 2 10 3 10 -2 10 60 1 10 2 10 3 10 -20 20 0 10 0 40 -1 10 -40 0 -2 10 2008/09 -1 10 0 10 1 10 2 10 PHASE LEAD 3 10 -60 -2 10 -1 10 MECH466 : Automatic Control 34 Summary and exercises Lag compensator 20 MECH466 : Automatic Control 0 10 1 10 PHASE LAG 2 10 Next, more detail about frequency shaping. Next, Read Sections 10.6, 10.7 and 10.10. Read Announcement: It may be better to bring your Announcement: lecture slides (lecture 15 and later) to Lab 4. 3 10 35 2008/09 MECH466 : Automatic Control 36 9...
View Full Document

This document was uploaded on 03/05/2014 for the course MECH 466 at University of British Columbia.

Ask a homework question - tutors are online