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Systems Engineering - ATI

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Attitude Determination and Control<br />

Summary<br />

This four-day course provides a detailed<br />

introduction to spacecraft attitude estimation and<br />

control. This course emphasizes many practical<br />

aspects of attitude control system design but with a<br />

solid theoretical foundation. The principles of operation<br />

and characteristics of attitude sensors and actuators<br />

are discussed. Spacecraft kinematics and dynamics<br />

are developed for use in control design and system<br />

simulation. Attitude determination methods are<br />

discussed in detail, including TRIAD, QUEST, Kalman<br />

filters. Sensor alignment and calibration is also<br />

covered. Environmental factors that affect pointing<br />

accuracy and attitude dynamics are presented.<br />

Pointing accuracy, stability (smear), and jitter<br />

definitions and analysis methods are presented. The<br />

various types of spacecraft pointing controllers and<br />

design, and analysis methods are presented. Students<br />

should have an engineering background including<br />

calculus and linear algebra. Sufficient background<br />

mathematics are presented in the course but is kept to<br />

the minimum necessary.<br />

Instructor<br />

Dr. Mark E. Pittelkau is an independent consultant.<br />

He was previously with the Applied Physics Laboratory,<br />

Orbital Sciences Corporation, CTA Space <strong>Systems</strong>,<br />

and Swales Aerospace. His early career at the Naval<br />

Surface Warfare Center involved target tracking, gun<br />

pointing control, and gun system calibration, and he<br />

has recently worked in target track fusion. His<br />

experience in satellite systems covers all phases of<br />

design and operation, including conceptual desig,<br />

implemen-tation, and testing of attitude control<br />

systems, attitude and orbit determination, and attitude<br />

sensor alignment and calibration, control-structure<br />

interaction analysis, stability and jitter analysis, and<br />

post-launch support. His current interests are precision<br />

attitude determination, attitude sensor calibration, orbit<br />

determination, and formation flying. Dr. Pittelkau<br />

earned the Bachelor's and Ph. D. degrees in Electrical<br />

<strong>Engineering</strong> at Tennessee Technological University<br />

and the Master's degree in EE at Virginia Polytechnic<br />

Institute and State University.<br />

What You Will Learn<br />

• Characteristics and principles of operation of attitude<br />

sensors and actuators.<br />

• Kinematics and dynamics.<br />

• Principles of time and coordinate systems.<br />

• Attitude determination methods, algorithms, and<br />

limits of performance;<br />

• Pointing accuracy, stability (smear), and jitter<br />

definitions and analysis methods.<br />

• Various types of pointing control systems and<br />

hardware necessary to meet particular control<br />

objectives.<br />

• Back-of-the envelope design techniques.<br />

February 28 - March 3, 2011<br />

Chantilly, Virginia<br />

$1790 (8:30am - 4:00pm)<br />

"Register 3 or More & Receive $100 00 each<br />

Off The Course Tuition."<br />

Recent attendee comments ...<br />

“Very thorough!”<br />

“Relevant and comprehensive.”<br />

Course Outline<br />

1. Kinematics. Vectors, direction-cosine<br />

matrices, Euler angles, quaternions, frame<br />

transformations, and rotating frames. Conversion<br />

between attitude representations.<br />

2. Dynamics. Rigid-body rotational dynamics,<br />

Euler's equation. Slosh dynamics. Spinning spacecraft<br />

with long wire booms.<br />

3. Sensors. Sun sensors, Earth Horizon sensors,<br />

Magnetometers, Gyros, Allan Variance & Green<br />

Charts, Angular Displacement sensors, Star Trackers.<br />

Principles of operation and error modeling.<br />

4. Actuators. Reaction and momentum wheels,<br />

dynamic and static imbalance, wheel configurations,<br />

magnetic torque rods, reaction control jets. Principles<br />

of operation and modeling.<br />

5. Environmental Disturbance Torques.<br />

Aerodynamic, solar pressure, gravity-gradient,<br />

magnetic dipole torque, dust impacts, and internal<br />

disturbances.<br />

6. Pointing Error Metrics. Accuracy, Stability<br />

(Smear), and Jitter. Definitions and methods of design<br />

and analysis for specification and verification of<br />

requirements.<br />

7. Attitude Control. B-dot and H X B rate damping<br />

laws. Gravity-gradient, spin stabilization, and<br />

momentum bias control. Three-axis zero-momentum<br />

control. Controller design and stability. Back-of-the<br />

envelope equations for actuator sizing and controller<br />

design. Flexible-body modeling, control-structure<br />

interaction, structural-mode (flex-mode) filters, and<br />

control of flexible structures. Verification and<br />

Validation, and Polarity and Phase testing.<br />

8. Attitude Determination. TRIAD and QUEST<br />

algorithms. Introduction to Kalman filtering. Potential<br />

problems and reliable solutions in Kalman filtering.<br />

Attitude determination using the Kalman filter.<br />

Calibration of attitude sensors and gyros.<br />

9. Coordinate <strong>Systems</strong> and Time. J2000 and<br />

ICRF inertial reference frames. Earth Orientation,<br />

WGS-84, geodetic, geographic coordinates. Time<br />

systems. Conversion between time scales. Standard<br />

epochs. Spacecraft time and timing.<br />

40 – Vol. 104 Register online at www.<strong>ATI</strong>courses.com or call <strong>ATI</strong> at 888.501.2100 or 410.956.8805

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