Istanbul Technical University Graduate School of Science Engineering and Technology Development of a Model Unmanned Aerial
Total Page:16
File Type:pdf, Size:1020Kb
ISTANBUL TECHNICAL UNIVERSITY GRADUATE SCHOOL OF SCIENCE ENGINEERING AND TECHNOLOGY DEVELOPMENT OF A MODEL UNMANNED AERIAL VEHICLE WITH SIMULINK : MODELLING AND CONTROL M.Sc. THESIS Akçay ÇALIŞIR Department of Mechatronics Engineering Mechatronics Engineering Programme MAY 2015 ISTANBUL TECHNICAL UNIVERSITY GRADUATE SCHOOL OF SCIENCE ENGINEERING AND TECHNOLOGY DEVELOPMENT OF A MODEL UNMANNED AERIAL VEHICLE WITH SIMULINK : MODELLING AND CONTROL M.Sc. THESIS Akçay ÇALIŞIR (518101045) Department of Mechatronics Engineering Mechatronics Engineering Programme Gülay ÖKE GÜNEL Thesis Advisor : Assist.Prof. Dr. 20 MAY 2015 İSTANBUL TEKNİK ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ SİMULİNK İLE MODEL İNSANSIZ HAVA ARACI GELİŞTİRİLMESİ : MODELLEMESİ VE KONTROLÜ YÜKSEK LİSANS TEZİ Akçay ÇALIŞIR (518101045) Mekatronik Mühendisliği Bölümü Mekatronik Mühendisliği Programı Tez Danışmanı: Yrd.Doç. Dr. Gülay ÖKE GÜNEL 20 MAYIS 2015 Student ID 518101045, a M.Sc. student of ITU Institute of Science and Technology, Akçay ÇALIŞIR, successfully defended the thesis entitled ‘‘DEVELOPMENT OF A MODEL UNMANNED AERIAL VEHICLE WITH SIMULINK : MODELLING AND CONTROL’’, which he prepared after fulfilling the requirements specified in the associated legislations, before the jury whose signatures are below. Thesis Advisor : Assist. Prof. Dr. Gülay ÖKE GÜNEL ..……………... Istanbul Technical University Jury Members : Assoc. Prof. Dr. Pınar BOYRAZ ………………... Istanbul Technical University Assist. Prof. Dr. Figen ÖZEN ………………... Haliç University Date of Submission : 24 April 2015 Date of Defense : 20 May 2015 v vi To my beloved family, vii viii FOREWORD I would like to express my special thanks to my thesis advisor Assist. Prof. Dr. Gülay ÖKE GÜNEL for her valuable guidance and sharing her knowledge through every step of thesis which describing unmanned aerial vehicle. Finally, for their valuable support in every step of my life, I am grateful to my mother, my father, my sister and the rest of my family. May 2015 Akçay ÇALIŞIR ix x TABLE OF CONTENTS Page PREFACE .................................................................................................................. ix TABLE OF CONTENTS .......................................................................................... xi ABBREVIATIONS .................................................................................................. xv LIST OF TABLES ................................................................................................. xvii LIST OF FIGURES ................................................................................................ xix LIST OF SYMBOLS ............................................................................................ xxiii ABSTRACT .......................................................................................................... xxvii ÖZET ...................................................................................................................... xxix 1. INRODUCTION AND OVERVIEW ................................................................... 1 1.1 Introduction of Unmanned Aerial Vehicle ......................................................... 1 1.2 History and Future of UAV ................................................................................ 3 1.3 Outline of Thesis ................................................................................................ 9 2. DEVELOPMENT OF NONLINEAR SIMULINK MODEL ........................... 11 2.1 Introduction ...................................................................................................... 11 2.2 Dynamic Equation of Aircraft .......................................................................... 12 2.2.1 Assumptions .............................................................................................. 12 2.3 Definition of Axis System for Aircraft ............................................................. 13 2.3.1 Inertial axes ................................................................................................ 13 2.3.2 Body axes................................................................................................... 13 2.4 Aircraft Equation of Motion ............................................................................. 18 2.5 Kinematic Equations for Translation ................................................................ 20 2.6 Kinematic Equations for Attitude ..................................................................... 22 2.7 Forces and Moments ......................................................................................... 24 2.7.1 Aerodynamic.............................................................................................. 24 2.8 Actuators Model ............................................................................................... 25 2.9 Atmosphere and Wind-Turbulence Model ....................................................... 26 2.9.1 Atmosphere model ..................................................................................... 26 2.9.2 Wind-Turbulence model ............................................................................ 26 2.9.2.1 Background wind model ................................................................... 27 2.9.2.2 Turbulence model ............................................................................. 27 2.9.2.3 Wind shear model ............................................................................. 28 2.10 Summary ......................................................................................................... 31 3. DEVELOPMENT OF A LINEAR AIRCRAFT MODEL-LINEARIZATION .................................................................................................................................... 33 3.1 Introduction ...................................................................................................... 33 3.2 Trim .................................................................................................................. 34 3.2.1 Trim Results............................................................................................... 35 3.3 Small Disturbance Theory ................................................................................ 35 3.4 Linearization the Equations of Motion Using Small Disturbance Technique .. 36 3.5 Linear Aerodynamic Model ............................................................................. 37 3.5.1 Linearizing of aerodynamic forces and moments ..................................... 37 3.5.2 Longitudinal stability and control derivatives ........................................... 39 3.5.3 Lateral stability and control derivatives .................................................... 41 3.5.4 Airfoil aerodynamic coefficients ............................................................... 42 3.6 Linear Gravitational Model .............................................................................. 44 3.7 Engine Model ................................................................................................... 44 3.8 Linear Aircraft Model ....................................................................................... 45 xi 3.8.1 Longitudinal dynamic equations ................................................................ 46 3.8.2 Lateral dynamic equations ........................................................................ 47 3.9 Summary ........................................................................................................... 47 4. AIRCRAFT NATURAL MOTIONS .................................................................. 49 4.1 Longitudinal Aircraft Model............................................................................. 50 4.1.1 Phugoid mode ............................................................................................ 52 4.1.2 Short period mode ...................................................................................... 54 4.1.3 Dynamic response to wind ......................................................................... 56 4.1.4 Dynamic response to actuators .................................................................. 56 4.2 Lateral Aircraft Model ...................................................................................... 57 4.2.1 Roll mode ................................................................................................... 59 4.2.2 Spiral mode ................................................................................................ 60 4.2.3 Dutch roll mode ......................................................................................... 61 4.3 Response due to Variation in Cruise for Nonlinear and Linear ........................ 63 4.3.1 Response for nonlinear and linear system in longitudinal motion ............ 63 4.3.2 Response for nonlinear and linear system in lateral motion ...................... 67 5. FLIGHT CONTROL SYSTEM .......................................................................... 77 5.1 Introduction....................................................................................................... 77 5.2 Pitch Rate Damper ............................................................................................ 77 5.2.1 PI controller design .................................................................................... 82 5.2.2 PID controller design ................................................................................. 83 5.3 Altitude Controller ...........................................................................................