ee 570: location and navigation: theory & practice

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EE 570: Location and Navigation: Theory & Practice Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 1 of 17

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EE 570: Location and Navigation: Theory & Practice

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 1 of 17

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 2 of 17

• Required Textbook:

Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems, by Paul Groves, Artech House, 2008.

• Recommended Software:

MATLAB Student Version

• Lectures:

Tue/Thur 11am - 12:15pm in CRAMER 123

• Instructors:

Dr. Stephen Bruder

Prof. Aly El-Osery

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 3 of 17

• Course Description

This course will cover the basics of terrestrial location and navigation with an emphasis on practical exposure to the technology. In particular, the class will collaborate on the design, integration, and testing of a UGV or UAV.

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 4 of 17

• Course Description

Key components of the course include: o GPS fundamentals;

o an overview of inertial navigation technology;

o principles of strapdown inertial navigation systems including coordinate frames, attitude representation, and mechanization in various coordinate frames;

o sensor technology covering a wide range of accelerometers and gyroscopes;

o sensor specifications and characterization;

o testing and calibration approaches;

o effects of inertial sensor error and compensation methods; and

o introduction to unmanned systems; analysis of real sensor data and simulation and modeling using MATLAB/Simulink.

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 5 of 17

• Grading Scheme

Homework Assignments: 30%

Three mini-projects: 10% each

Final Project and report: 30%

Class Participation: 10%

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 6 of 17

• Navigation Mathematics (Dr. Bruder)

Introduction to Navigation

Coordinate frames

Kinematics

Earth surface and Gravity

Frame Transformations

Part II: Chapter 2 of the textbook

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 7 of 17

• Navigation Sensors and INS Mechanization (Dr. Bruder / Prof. El-Osery)

Accelerometers

Gyroscopes

Error Characteristics

Inertial Navigation Equations

Part III: Chapters 4 & 5 of the textbook

Course Outline

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 8 of 17

• INS/GPS Integration (Prof. El-Osery)

GPS

Kalman Filtering

Integration Architectures

System Model

Measurement Model

• System Example (All)

Part III: Chapter 6

Part II: Chapter 3

Part IV: Chapter 12

EE 570: Location and Navigation: Theory & Practice

Introduction to Navigation

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 9 of 17

Introduction to Navigation: What is Location and/or Navigation?

• What is Navigation?

The process of determining a vehicle’s “course” by geometry, astronomy, radio signals, or other means

o Often described by Position, Velocity, and Attitude (PVA)

This can be accomplished via “position fixing” or “dead reckoning”

o Position Fixing - Directly measuring location

o Dead Reckoning - Measures changes in position and/or attitude

– Need to be initialized and then “integrate” the ’s

– Inertial sensors measure the ’s without requiring an external reference

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 10 of 17

Introduction to Navigation: A Simple Example of Dead Reckoning

• A Dead Reckoning Example:

At each epoc we measure x and

y with noise ( =1m)

Then add to the prior location

0 20 40 60 80 100 120 140 1600

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40

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140

Y-p

os in m

ete

rs

X-pos in meters

A 2D Dead Reckoning Example

Error Free

0 20 40 60 80 100 120 140 1600

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Y-p

os in m

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X-pos in meters

A 2D Dead Reckoning Example

Error Free

0 20 40 60 80 100 120 140 1600

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Y-p

os in m

ete

rs

X-pos in meters

A 2D Dead Reckoning Example

Error Free

0 20 40 60 80 100 120 140 1600

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Y-p

os in m

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X-pos in meters

A 2D Dead Reckoning Example

Error Free

0 20 40 60 80 100 120 140 1600

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120

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Y-p

os in m

ete

rs

X-pos in meters

A 2D Dead Reckoning Example

Error Free

0 20 40 60 80 100 120 140 1600

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Y-p

os in m

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rs

X-pos in meters

A 2D Dead Reckoning Example

Error Free

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 11 of 17

Introduction to Navigation: A Simple Example of Dead Reckoning

• A Dead Reckoning Example Radial error at each update (in m):

o 1.49, 1.97, 2.46, 2.83, 3.16, 3.42, 3.68, 3.94, 4.18

-20 0 20 40 60 80 100 120 140 160 1800

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Y-p

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X-pos in meters

A 2D Dead Reckoning Example

Error Free

r=1.49

r=1.79

r=2.46

r=2.83

r=3.16

r=3.42 r=3.68 r=3.94

r=4.18

1,000 Monte Carlo Runs

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 12 of 17

Introduction to Navigation: Navigation Examples

• DARPA Grand Challenge

PVA needed in terms of a local datum

o Local coordinate system

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 13 of 17

Introduction to Navigation: Navigation Examples

• Aircraft or UAV

Location relative to the earth

o Earth Centered Earth Fixed coord. Sys.

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 14 of 17

Introduction to Navigation: Navigation Examples

• Spacecraft

Relative to inertial or space coords

o Earth Centered Inertial coordinate system

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 15 of 17

Introduction to Navigation: Navigation Concepts

• There exists a wide variety of information sources (i.e. sensors)

Inertial, Doppler, GPS, radar, compass, cameras, odometry, barometric, …

• How should I describe my location?

Position, velocity, and attitude?

o Orientation can get a bit tricky!!

• When answering the question of “Where am I?” the wrt must be very clearly defined!!!

Lead in to the notion of coordinate systems

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 16 of 17

Introduction to Navigation: Navigation Sensors/Instruments

• Navigation Sensors: Past, Current, and Future

Sextant

Compass

Lat/Lon

Star Tracker

MEMS Inertial Sensors

Tuesday 15 Jan 2013 NMT EE 570: Location and Navigation: Theory & Practice Slide 17 of 17