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    High-Fidelity Multi-Rotor Unmanned Aircraft System Simulation Development for Trajectory Prediction Under Off-Nominal Flight Dynamics

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    The NASA Unmanned Aircraft System (UAS) Traffic Management (UTM) project is conducting research to enable civilian low-altitude airspace and UAS operations. A goal of this project is to develop probabilistic methods to quantify risk during failures and off nominal flight conditions. An important part of this effort is the reliable prediction of feasible trajectories during off-nominal events such as control failure, atmospheric upsets, or navigation anomalies that can cause large deviations from the intended flight path or extreme vehicle upsets beyond the normal flight envelope. Few examples of high-fidelity modeling and prediction of off-nominal behavior for small UAS (sUAS) vehicles exist, and modeling requirements for accurately predicting flight dynamics for out-of-envelope or failure conditions are essentially undefined. In addition, the broad range of sUAS aircraft configurations already being fielded presents a significant modeling challenge, as these vehicles are often very different from one another and are likely to possess dramatically different flight dynamics and resultant trajectories and may require different modeling approaches to capture off-nominal behavior. NASA has undertaken an extensive research effort to define sUAS flight dynamics modeling requirements and develop preliminary high fidelity six degree-of-freedom (6-DOF) simulations capable of more closely predicting off-nominal flight dynamics and trajectories. This research has included a literature review of existing sUAS modeling and simulation work as well as development of experimental testing methods to measure and model key components of propulsion, airframe and control characteristics. The ultimate objective of these efforts is to develop tools to support UTM risk analyses and for the real-time prediction of off-nominal trajectories for use in the UTM Risk Assessment Framework (URAF). This paper focuses on modeling and simulation efforts for a generic quad-rotor configuration typical of many commercial vehicles in use today. An overview of relevant off-nominal multi-rotor behaviors will be presented to define modeling goals and to identify the prediction capability lacking in simplified models of multi-rotor performance. A description of recent NASA wind tunnel testing of multi-rotor propulsion and airframe components will be presented illustrating important experimental and data acquisition methods, and a description of preliminary propulsion and airframe models will be presented. Lastly, examples of predicted off-nominal flight dynamics and trajectories from the simulation will be presented

    ๊ณ ์„ฑ๋Šฅ ํ•œ๊ณ„ ํ•ธ๋“ค๋ง์„ ์œ„ํ•œ ์ธํœ ๋ชจํ„ฐ ํ† ํฌ๋ฒกํ„ฐ๋ง ์ œ์–ด

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    ํ•™์œ„๋…ผ๋ฌธ(๋ฐ•์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต๋Œ€ํ•™์› : ๊ณต๊ณผ๋Œ€ํ•™ ๊ธฐ๊ณ„ํ•ญ๊ณต๊ณตํ•™๋ถ€, 2021.8. ์ด๊ฒฝ์ˆ˜.์ง€๋‚œ 10๋…„ ๋™์•ˆ ์ฐจ๋Ÿ‰ ์ž์„ธ ์ œ์–ด์‹œ์Šคํ…œ(ESC)์€ ์น˜๋ช…์ ์ธ ์ถฉ๋Œ์„ ๋ฐฉ์ง€ํ•˜๊ธฐ ์œ„ํ•ด ๋งŽ์€ ์ƒ์šฉ ์ฐจ๋Ÿ‰์—์„œ ๋น„์•ฝ์ ์œผ๋กœ ๋ฐœ์ „๋˜๊ณ  ๊ฐœ๋ฐœ๋˜๊ณ  ์žˆ๋‹ค. ํŠนํžˆ, ์ฐจ๋Ÿ‰ ์ž์„ธ ์ œ์–ด ์‹œ์Šคํ…œ์€ ์•…์ฒœํ›„๋กœ ์ธํ•œ ๋ฏธ๋„๋Ÿฌ์šด ๋„๋กœ์™€ ๊ฐ™์€ ์œ„ํ—˜ํ•œ ๋„๋กœ์—์„œ ๋ถˆ์•ˆ์ •ํ•œ ์ฐจ๋Ÿ‰ ์ฃผํ–‰ ์กฐ๊ฑด์—์„œ ์‚ฌ๊ณ ๋ฅผ ํ”ผํ•˜๋Š”๋ฐ ํฐ ์—ญํ• ์„ ํ•œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜, ์ตœ๊ทผ์˜ ๊ฒฝ์šฐ, ๊ณ ์„ฑ๋Šฅ ์ฐจ๋Ÿ‰ ๋˜๋Š” ์Šคํฌ์ธ ์นด ๋“ฑ์˜ ๊ฒฝ์šฐ ์ œ๋™์ œ์–ด์˜ ๋นˆ๋ฒˆํ•œ ๊ฐœ์ž…์€ ์šด์ „์˜ ์ฆ๊ฑฐ์›€์„ ๊ฐ์†Œ์‹œํ‚ค๋Š” ๋ถˆ๋งŒ๋„ ์กด์žฌํ•œ๋‹ค. ์ตœ๊ทผ ์ฐจ๋Ÿ‰์˜ ์ „๋™ํ™”์™€ ํ•จ๊ป˜, ์ž๋Ÿ‰ ์ž์„ธ ์ œ์–ด์‹œ์Šคํ…œ์˜ ์ž‘๋™ ์˜์—ญ์ธ ํ•œ๊ณ„ ์ฃผํ–‰ ํ•ธ๋“ค๋ง ์กฐ๊ฑด์—์„œ ๊ฐ ํœ ์˜ ๋…๋ฆฝ์ ์ธ ๊ตฌ๋™์„ ์ ์šฉ ํ•  ์ˆ˜ ์žˆ๋Š” ์‹œ์Šคํ…œ ์ค‘ ํ•˜๋‚˜์ธ ์ธํœ  ๋ชจํ„ฐ ์‹œ์Šคํ…œ์„ ์‚ฌ์šฉํ•˜์—ฌ ์ฐจ๋Ÿ‰์˜ ์ข…, ํšก๋ฐฉํ–ฅ ํŠน์„ฑ์„ ์ œ์–ด ๊ฐ€๋Šฅํ•˜๊ฒŒ ํ•˜๋Š” ํ† ํฌ ๋ฒกํ„ฐ๋ง ์ œ์–ด๊ธฐ์ˆ ์— ๋Œ€ํ•œ ์—ฐ๊ตฌ๊ฐ€ ํ™œ๋ฐœํ•˜๋‹ค. ๋”ฐ๋ผ์„œ, ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ์ฐจ๋Ÿ‰์˜ ์„ ํšŒ ํ•œ๊ณ„ ํ•ธ๋“ค๋ง ์กฐ๊ฑด์—์„œ ์•ˆ์ •์„ฑ๊ณผ ์ฃผํ–‰ ๋‹ค์ด๋‚˜๋ฏน ์„ฑ๋Šฅ์„ ํ–ฅ์ƒ์‹œํ‚ฌ ์ˆ˜ ์žˆ๋Š” ํ† ํฌ ๋ฒกํ„ฐ๋ง ์ œ์–ด๊ธฐ๋ฅผ ์ œ์•ˆํ•˜๊ณ ์ž ํ•œ๋‹ค. ๋จผ์ €, ์ฐจ๋Ÿ‰์˜ ๋น„์„ ํ˜• ์ฃผํ–‰ ๊ตฌ๊ฐ„์ธ ํ•œ๊ณ„ ํ•ธ๋“ค๋ง ์กฐ๊ฑด์— ๋Œ€ํ•œ ์ž๋™ ๋“œ๋ฆฌํ”„ํŠธ ์ œ์–ด ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ์ œ์•ˆํ•œ๋‹ค. ์ด ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ์ด์šฉํ•˜์—ฌ ํ† ํฌ๋ฒกํ„ฐ๋ง์ œ์–ด์— ์ฐจ๋Ÿ‰์˜ ๋‹ค์ด๋‚˜๋ฏนํ•œ ์ฃผํ–‰๋ชจ๋“œ์— ๋Œ€ํ•œ ํ†ต์ฐฐ๋ ฅ์„ ์ œ๊ณตํ•˜๊ณ  ๋ฏธ๋„๋Ÿฌ์šด ๋„๋กœ์—์„œ ์ฐจ๋Ÿ‰์˜ ๋†’์€ ์Šฌ๋ฆฝ ๊ฐ๋„์˜ ์•ˆ์ •์„ฑ ์ œ์–ด๋ฅผ ์ œ๊ณต ํ•  ์ˆ˜ ์žˆ๋‹ค. ๋˜ํ•œ, ์ธํœ  ๋ชจํ„ฐ ์‹œ์Šคํ…œ์„ ์ฐจ๋Ÿ‰์˜ ์ „๋ฅœ์— 2๊ฐœ ๋ชจํ„ฐ๋กœ ์‚ฌ์šฉํ•˜์—ฌ ์ฐจ๋Ÿ‰ ๊ณ ์œ ์˜ ํŠน์„ฑ์ธ ์ฐจ๋Ÿ‰ ์–ธ๋”์Šคํ‹ฐ์–ด ๊ตฌ๋ฐฐ๋ฅผ ์ง์ ‘์  ์ œ์–ด๋ฅผ ์ˆ˜ํ–‰ํ•˜์—ฌ, ์ฐจ๋Ÿ‰์˜ ํ•ธ๋“ค๋ง ์„ฑ๋Šฅ์„ ํ–ฅ์ƒ์‹œ์ผฐ๋‹ค. ์ œ์–ด๊ธฐ์˜ ์ฑ„ํ„ฐ๋ง ํšจ๊ณผ๋ฅผ ์ค„์ด๊ณ  ๋น ๋ฅธ ์‘๋‹ต์„ ์–ป๊ธฐ ์œ„ํ•ด ์ƒˆ๋กœ์šด ๊ณผ๋„ ๋งค๊ฐœ ๋ณ€์ˆ˜๊ฐ€ ์ด์šฉํ•˜์—ฌ ์ˆ˜์‹ํ™”ํ•˜์—ฌ ๊ตฌ์„ฑํ•˜์˜€์œผ๋ฉฐ, ์ฐจ๋Ÿ‰์˜ ์ •์ƒ ์ƒํƒœ ๋ฐ ๊ณผ๋„ ํŠน์„ฑ ํ–ฅ์ƒ์„ ๊ฒ€์ฆํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ISO ๊ธฐ๋ฐ˜ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋ฐ ์ฐจ๋Ÿ‰ ์‹คํ—˜์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ๋งˆ์ง€๋ง‰์œผ๋กœ ์š” ์ œ์–ด๊ธฐ์™€ ํšก ์Šฌ๋ฆฝ ๊ฐ๋„ ์ œ์–ด๊ธฐ๋กœ ๊ตฌ์„ฑ๋œ MASMC (Multiple Adaptive Sliding Mode Control) ์ ‘๊ทผ ๋ฐฉ์‹์„ ์‚ฌ์šฉํ•˜๋Š” 4๋ฅœ ๋ชจํ„ฐ ์‹œ์Šคํ…œ์„ ์‚ฌ์šฉํ•œ ๋™์  ํ† ํฌ๋ฒกํ„ฐ๋ง ์ œ์–ด๋ฅผ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ๋†’์€ ๋น„์„ ํ˜• ํŠน์„ฑ์„ ๊ฐ€์ง„ ์ฐจ๋Ÿ‰์˜ ์ „ํ›„๋ฅœ ํƒ€์ด์–ด์˜ ์ฝ”๋„ˆ๋ง ๊ฐ•์„ฑ์€ ์ ์‘์ œ์–ด๊ธฐ๋ฒ•์„ ์ด์šฉํ•˜์—ฌ ์˜ˆ์ธกํ•˜์˜€๋‹ค. ๋”ฐ๋ผ์„œ, ์•ˆ์ „๋ชจ๋“œ์™€ ๋‹ค์ด๋‚˜๋ฏน ๋ชจ๋“œ๋ฅผ ๊ตฌ์„ฑํ•˜์—ฌ, ์šด์ „์ž๋กœ ํ•˜์—ฌ๊ธˆ ์›ํ•˜๋Š” ์ฃผํ–‰์˜ ์กฐ๊ฑด์— ๋งž๊ฒŒ ์„ ํƒํ•  ์ˆ˜ ์žˆ๋Š” ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ๊ตฌํ˜„ํ•˜์˜€๋‹ค. ์ด MASMC ์•Œ๊ณ ๋ฆฌ์ฆ˜์€ ํ–ฅํ›„ ์ „๋™ํ™” ์ฐจ๋Ÿ‰์— ์ฃผํ–‰์•ˆ์ •์„ฑ ํ–ฅ์ƒ๊ณผ ๋‹ค์ด๋‚˜๋ฏนํ•œ ์ฃผํ–‰์˜ ์ฆ๊ฑฐ์›€์„ ์ฃผ๋Š” ๊ธฐ์ˆ ๋กœ์จ, ์ „์ฐจ๋Ÿ‰ ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ์ด์šฉํ•˜์—ฌ ๊ฒ€์ฆํ•˜์˜€๋‹ค.In the last ten decades, vehicle stability control systems have been dramatically developed and adapted in many commercial vehicles to avoid fatal crashes. Significantly, ESC (Electric Stability Control) system can help escape the accident from unstable driving conditions with dangerous roads such as slippery roads due to inclement weather conditions. However, for the high performed vehicle, frequent intervention from ESC reduces the pleasure of fun-to-drive. Recently, the development of traction control technologies has been taking place with that of the electrification of vehicles. The IWMs (In-Wheel Motor system), which is one of the systems that can apply independent drive of each wheel, for the limit handling characteristics, which are the operation areas of the ESC, is introduced for the control that enables the lateral characteristics of the vehicle dynamics. Firstly, the automated drift control algorithm can be proposed for the nonlinear limit handling condition of vehicles. This approach can give an insight of fun-to-drive mode to TV (Torque Vector) control scheme, but also the stability control of high sideslip angle of the vehicle on slippery roads. Secondly, using IWMs system with front two motors, understeer gradient of vehicle, which is the unique characteristics of vehicle can be used for the proposed control strategy. A new transient parameter is formulated to be acquired rapid response of controller and reducing chattering effects. Simulation and vehicle tests are conducted for validation of TV control algorithm with steady-state and transient ISO-based tests. Finally, dynamic torque vectoring control with a four-wheel motor system with Multiple Adaptive Sliding Mode Control (MASMC) approach, which is composed of a yaw rate controller and sideslip angle controller, is introduced. Highly nonlinear characteristics, cornering stiffnesses of front and rear tires are estimated by adaptation law with measuring data. Consequently, there are two types of driving modes, the safety mode and the dynamic mode. MASMC algorithm can be found and validated by simulation in torque vectoring technology to improve the handling performance of fully electric vehicles.Chapter 1 Introduction 7 1.1. Background and Motivation 7 1.2. Literature review 11 1.3. Thesis Objectives 15 1.4. Thesis Outline 15 Chapter 2 Vehicle dynamic control at limit handling 17 2.1. Vehicle Model and Analysis 17 2.1.1. Lateral dynamics of vehicle 17 2.1.2. Longitudinal dynamics of vehicle 20 2.2. Tire Model 24 2.3. Analysis of vehicle drift for fun-to-drive 28 2.4. Designing A Controller for Automated Drift 34 2.4.1. Lateral controller 35 2.4.2. Longitudinal Controller 37 2.4.3. Stability Analysis 39 2.4.4. Validation with simulation and test 40 Chapter 3 Torque Vectoring Control with Front Two Motor In-Wheel Vehicles 47 3.1. Dynamic Torque Vectoring Control 48 3.1.1. In-wheel motor system (IWMs) 48 3.1.2. Dynamic system modeling 49 3.1.3. Designing controller 53 3.2. Validation with Simulation and Experiment 59 3.2.1. Simulation 59 3.2.2. Vehicle Experiment 64 Chapter 4 Dynamic handling control for Four-wheel Drive In-Wheel platform 75 4.1. Vehicle System Modeling 76 4.2. Motion Control based on MASMC 78 4.2.1. Yaw motion controller for the inner ASMC 80 4.2.2. Sideslip angle controller for the outer ASMC 84 4.3. Optimal Torque Distribution (OTD) 88 4.3.1. Constraints of dynamics 88 4.3.2. Optimal torque distribution law 90 4.4. Validation with Simulation 91 4.4.1. Simulation setup 91 4.4.2. Simulation results 92 Chapter 5 Conclusion and Future works 104 5.1 Conclusion 104 5.2 Future works 106 Bibliography 108 Abstract in Korean 114๋ฐ•
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