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Chapter 17 Stability and Robustness Margins Chapter 17 Stability and Robustness Margins

Chapter 17 Stability and Robustness Margins - PowerPoint Presentation

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Chapter 17 Stability and Robustness Margins - PPT Presentation

General Feedback Loop Introduction to Feedback Control Beard McLain Peterson Killpack 2 Note that this is not et Motivation Introduction to Feedback Control Beard McLain Peterson Killpack ID: 912375

feedback control killpack introduction control feedback introduction killpack peterson mclain beard loop phase system closed design study gain stability

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Presentation Transcript

Slide1

Chapter 17

Stability and Robustness Margins

Slide2

General Feedback Loop

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

2

Note that this is not e(t)

Slide3

Motivation

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

3

Slide4

Motivation

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

4

The purpose of this chapter is to understand how phase influences stability

Slide5

Definition: Crossover Frequency

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

5

Slide6

Stability and Phase

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

6

Slide7

Stability and Phase

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

7

Unstable Condition:

Phase = 180 at crossover

Slide8

Phase and Gain Margin

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

8

Slide9

Phase and Gain Margin in the Complex Plane

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

9

Slide10

Closed Loop System and PM/GM

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

10

Slide11

Closed Loop System and PM/GM

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

11

Slide12

Closed Loop System and PM/GM

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

12

Slide13

Closed Loop System and PM/GM

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

13

Slide14

Closed Loop System and PM/GM

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

14

Slide15

Closed Loop System and PM/GM

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

15

Slide16

Bode Phase-Gain Relationship

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

16

Slide17

Bode Phase-Gain Relationship

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

17

Slide18

Ideal Loopshape

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

18

Slide19

Design Study A

19

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

Single link robot with PID controller

Slide20

Design Study B

20

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

Pendulum inner loop with PD control

Slide21

Design Study B

21

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

Pendulum outer loop with PID control

Slide22

Design Study C

22

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

Satellite inner loop with PD control

Slide23

Design Study C

23

Introduction to Feedback Control, Beard, McLain, Peterson, Killpack

Satellite outer loop with PID control