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Avionics and Control System Development for Mid-Air Rendezvous of Two Unmanned Aerial ... PDF

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Avionics and Control System Development for Mid-Air Rendezvous of Two Unmanned Aerial Vehicles by Sanghyuk Park Submitted to the Department of Aeronautics and Astronautics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Aeronautics and Astronautics at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY February 2004 (cid:176)c Massachusetts Institute of Technology 2004. All rights reserved. Author............................................................................ Department of Aeronautics and Astronautics November, 2003 Certified by........................................................................ John J. Deyst Professor of Aeronautics and Astronautics Thesis Supervisor Certified by........................................................................ Jonathan P. How Associate Professor of Aeronautics and Astronautics Thesis Supervisor Certified by........................................................................ James D. Paduano Principal Research Engineer of Aeronautics and Astronautics Thesis Supervisor Certified by........................................................................ Brent D. Appleby Principal Member of Technical Staff at Draper Laboratory Thesis Supervisor Accepted by....................................................................... Edward M. Greitzer H.N. Slater Professor of Aeronautics and Astronautics Chairman, Committee on Graduate Students 2 Avionics and Control System Development for Mid-Air Rendezvous of Two Unmanned Aerial Vehicles by Sanghyuk Park Submitted to the Department of Aeronautics and Astronautics on November, 2003, in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Aeronautics and Astronautics Abstract Aflightcontrolsystemwasdevelopedtoachievemid-airrendezvousoftwounmannedaerial vehicles (UAVs) as a part of the Parent Child Unmanned Aerial Vehicle (PCUAV) project at MIT and the Draper Laboratory. A lateral guidance logic was developed for tightly tracking a desired flight path. The guidance logic is derived from geometric and kinematic properties, and has been demon- strated to work better than the conventional aircraft guidance method in waypoint naviga- tion. Asimple,low-orderattitudeestimationwasdevelopedthatcombinesaircraftkinematics, GPS and low-quality rate gyros. It is demonstrated in simulation that the performance of theproposedmethodisasgoodasotheradvancedcomplexmethodswhentheaircraftbank angle is relative small(<40 degrees). The end-game control strategy for the final phase of the rendezvous was also devel- oped, using proportional navigation guidance in conjunction with an optical sensor. The associated miss distance was analyzed with regard to the wind effect and initial conditions. A series of flight tests was performed using two UAVs which were built as a part of the project. It was demonstrated that each individual aircraft can follow a desired flight path within a position accuracy of 2 meters (based on sensor data) while also tracking the air speed command to within 1 m/s. At the time of this thesis writing, it has been demonstratedthatthedevelopedcontrolsystemcanbringthetwoUAVsfromanyarbitrary initial positions into a configuration of a tight formation flight, where one vehicle trails the other with a commanded separation of 12 meters while maintaining the relative position error within 2 meters in both horizontal and vertical directions for 85% of the flight time. Thesis Supervisor: John J. Deyst Title: Professor of Aeronautics and Astronautics Thesis Supervisor: Jonathan P. How Title: Associate Professor of Aeronautics and Astronautics Thesis Supervisor: James D. Paduano Title: Principal Research Engineer of Aeronautics and Astronautics Thesis Supervisor: Brent D. Appleby 3 Title: Principal Member of Technical Staff at Draper Laboratory 4 Acknowledgments I would like to express my sincere gratitude to the following people. Without them all the excitement that I had in this project would have been impossible. I would like to thank Professor John J. Deyst for giving me the opportunity to work on this exciting team project, and for his guidance and consistent motivation throughout my past five years at MIT. Thank you to Professor Jonathan P. How for his advice and help, especially for guiding me to think through the trajectory-tracking logic from different points of view. Thanks to his help I was able to come up with a right explanation for that. I would like to thank Professor James D. Paduano for his cordial concern and advice from the countless meetings, and also specifically for guiding me in organizing the thesis and the defense. Thank you to Dr. Brent D. Appleby. I appreciate his advice and support throughout the project, and for introducing this exciting project to MIT from Draper Laboratory. I would like to thank Sean George, Vladislav Gavrilets, and Kyungyeol Song, who provided many valuable insights through many discussions. I would like to thank Donald Weiner and Richard Perdichizzi, who taught me how to use many interesting machines in the department work shop and helped me doing lots of experiments throughout the project. ThankyoutoRuaneCrummettandMitchBuckley,ourpilots,whosavedouraircraftmany, many times. I would like to thank the students who have been in the project. It was a wonderful thing to have a lab-mate like Damien Jourdan for the last three years. I appreciate the friendship with Thomas Jones, who also shared many discussions and ideas throughout the project. Thank you, Francois Urbain and Jason Kepler, who built our amazing two aircraft, for their exceptional friendship. Thank you, Richard Poutrel, who worked on the communication parts and also played some tennis and soccer together. Thank you, Sarah Saleh for creating warm and friendly atmosphere in the lab during her stay. I appreciate the friendship from Alexander Omelchenko who has been with me for the last five years in the project. I would like to thank Hyungil Ahn, Anand Srinivas, Damian Toohey and Joshua Torgerson, who recently joined the project, but we had lots of fun together. I would like to thank other friends at school. Thank you Simon, Xueen, Taehong and Hyuntae. I would like to thank my father-in-law, who showed consistent interest in what I was 5 doing here. Thank you, my mother-in-law, who shared many interesting and funny stories from time to time. And thank you, my sister-in-law for her cordial concern and friendly support. I owe infinite gratitude to my family in Korea. Thank you, my Mom and Dad, and my Uncle and Aunt for their unconditional love and support. Thank you, my two brothers, Jihyuk and Jeoung-hyuck hyung for their concern and support. Finally I would like to thank the most important person in my life, my lovely wife Jiyoon, for her exceptional understanding, concern, and support. I love you. 6 Contents 1 Introduction and Overview 17 1.1 Background and Objective . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.2 Approach and Challenges . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.3 Research Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.3.1 Theoretical Contributions . . . . . . . . . . . . . . . . . . . . . . . . 21 1.3.2 Experimental Contributions . . . . . . . . . . . . . . . . . . . . . . . 21 1.4 Thesis Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2 Experimental Setup 25 2.1 Demonstration Vehicles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.1.1 Mini - Child Vehicle . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.1.2 Outboard Horizontal Stabilizer(OHS) - Parent Vehicle . . . . . . . . 27 2.2 Avionics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.3 Modeling and Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4 Controller Design and Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.4.1 Lateral Controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.4.2 Longitudinal Controller . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3 Guidance for Phase I of Mid-Air Rendezvous 37 3.1 Phase I Path Planning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.2 Prior Work on Guidance Methods . . . . . . . . . . . . . . . . . . . . . . . 38 3.2.1 Cross-track Error Guidance . . . . . . . . . . . . . . . . . . . . . . . 39 3.2.2 Lateral Track Control Law for Aerosonde UAV - Marius Niculescu (2001) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 7 3.2.3 Guidance Laws for tactical Missiles . . . . . . . . . . . . . . . . . . . 41 3.3 Lateral Guidance Logic for Trajectory Following . . . . . . . . . . . . . . . 42 3.3.1 Understanding the Mechanism of the Nonlinear Guidance Logic . . . 44 3.3.2 Relation to Missile Guidance Laws . . . . . . . . . . . . . . . . . . . 45 3.3.3 Linear Properties and Selection of L . . . . . . . . . . . . . . . . . 48 1 3.3.4 Comparison of the New Guidance Logic with the Traditional Linear Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.3.5 Decomposition of the Angle η . . . . . . . . . . . . . . . . . . . . . . 52 3.3.6 Characterization of Trajectory Error in the Nonlinear Guidance Logic 53 3.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4 Estimation 59 4.1 Prior Work on Attitude Estimation . . . . . . . . . . . . . . . . . . . . . . . 59 4.1.1 Traditional Attitude Heading Reference Systems with Inertial Navi- gation System. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.1.2 INS/GPS Integration . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.1.3 Multi-Antenna GPS based Attitude Determination . . . . . . . . . . 60 4.2 Prior Work on Attitude Estimation Using Aircraft Kinematics . . . . . . . 60 4.2.1 Bank Angle Estimation Using a Complementary Filter with Roll and Yaw Rate Gyros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 4.2.2 Single-Antenna GPS Based Aircraft Attitude Determination . . . . 61 4.3 Simple,Low-orderAttitudeEstimationCombiningAircraftKinematics,GPS and Low Quality Inertial Sensors . . . . . . . . . . . . . . . . . . . . . . . . 62 4.3.1 Estimation of Bank Angle and Biases in Roll/Yaw Rate Gyros . . . 62 4.3.2 Bias Estimation in Pitch Rate Gyro . . . . . . . . . . . . . . . . . . 66 4.3.3 Flight Test Data : Rate Gyro Bias Estimation . . . . . . . . . . . . 68 4.3.4 Comparison with a Multi State Extended Kalman Filter . . . . . . . 69 4.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 5 Guidance for Phase II of Mid-Air Rendezvous 73 5.1 Phase II Guidance Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 5.2 Acceleration Commands to Inner-Loop Controller and Unconventional Con- trol Surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 8 5.3 Linearization and Method of Adjoints for Miss Distance Analysis . . . . . . 78 5.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 6 Flight Test Results 87 6.1 Flight Test of Individual Aircraft . . . . . . . . . . . . . . . . . . . . . . . . 87 6.2 Flight Test of Rendezvous Phase I . . . . . . . . . . . . . . . . . . . . . . . 90 6.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 7 Summary and Recommendations 97 7.1 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 7.2 Recommendations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 A Detailed Description of Avionics 101 A.1 Hardware Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 A.2 Overview of Avionics Components and Ground Station. . . . . . . . . . . . 105 A.3 Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 A.4 Avionics Diagrams for OHS Parent Vehicle . . . . . . . . . . . . . . . . . . 122 B Modeling and Simulation 133 B.1 Geometric and Inertial Properties . . . . . . . . . . . . . . . . . . . . . . . . 133 B.2 Equations of Motions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 B.3 Aerodynamic Forces and Moments . . . . . . . . . . . . . . . . . . . . . . . 136 B.4 Actuator and Sensor Modeling . . . . . . . . . . . . . . . . . . . . . . . . . 138 B.5 Wind Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 B.6 Trim Analysis and Linearization . . . . . . . . . . . . . . . . . . . . . . . . 141 B.7 OHS Tail Boom Flexibility . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 B.8 Downwash behind OHS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 C Controller Design and Analysis 149 C.1 Lateral and Directional Controller . . . . . . . . . . . . . . . . . . . . . . . 149 C.2 Longitudinal Controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 C.3 Implementation of Smooth Transition and Anti-Windup . . . . . . . . . . . 158 D Other Estimation Filters 163 D.1 Estimation of Position/Velocity/Acceleration using GPS . . . . . . . . . . . 163 9 D.2 Estimation of Pitch Angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 D.3 Estimation of Altitude Rate and Altitude . . . . . . . . . . . . . . . . . . . 166 D.4 Estimation of Angle of Attack . . . . . . . . . . . . . . . . . . . . . . . . . . 167 E Line-of-Sight Rate Computation 169 F Flight Data - Phase I Trajectories 173 10

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Submitted to the Department of Aeronautics and Astronautics . I would like to thank my father-in-law, who showed consistent interest in what I was. 5
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