61 research outputs found

    Autonomous ROV inspections of aquaculture net pens using DVL

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    This article presents a method for guiding a remotely operated vehicle (ROV) to autonomously traverse an aquaculture net pen. The method is based on measurements from a Doppler velocity log (DVL) and uses the measured length of the DVL beam vectors to approximate the geometry of a local region of the net pen in front of the ROV. The ROV position and orientation relative to this net pen approximation are used as inputs to a nonlinear guidance law. The guidance law is based upon the line-of-sight (LOS) guidance law. By utilizing that an ROV is fully actuated in the horizontal plane, the crosstrack error is minimized independently of the ROV heading. A Lyapunov analysis of the closed-loop system with this guidance law shows that the ROV is able to follow a continuous path in the presence of a constant irrotational ocean current. Finally, results from simulations and experiments demonstrating the performance of the net pen approximation and control system are presented.acceptedVersio

    State relativity and speed-allocated line-of-sight course control for path-following of underwater vehicles

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    Path-following is a primary task for most marine, air or space crafts, especially during autonomous operations. Research on autonomous underwater vehicles (AUV) has received large interests in the last few decades with research incentives emerging from the safe, cost-effective and practical solutions provided by their applications such as search and rescue, inspection and monitoring of pipe-lines ans sub-sea structures. This thesis presents a novel guidance system based on the popular line-of-sight (LOS) guidance law for path-following (PF) of underwater vehicles (UVs) subject to environmental disturbances. Mathematical modeling and dynamics of (UVs) is presented first. This is followed by a comprehensive literature review on guidance-based path-following control of marine vehicles, which includes revised definitions of the track-errors and more detailed illustrations of the general PF problem. A number of advances on relative equations of motion are made, which include an improved understanding of the fluid FLOW frame and expression of its motion states, an analytic method of modeling the signs of forces and moments and the proofs of passivity and boundedness of relative UV systems in 3-D. The revision in the relative equations of motion include the concept of state relativity, which is an improved understanding of relativity of motion states expressed in reference frames and is also useful in incorporating environmental disturbances. In addition, the concept of drift rate is introduced along with a revision on the angles of motion in 3-D. A switching mechanism was developed to overcome a drawback of a LOS guidance law, and the linear and nonlinear stability results of the LOS guidance laws have been provided, where distinctions are made between straight and curved PF cases. The guidance system employs the unique formulation and solution of the speed allocation problem of allocating a desired speed vector into x and y components, and the course control that employs the slip angle for desired heading for disturbance rejection. The guidance system and particularly the general course control problem has been extended to 3-D with the new definition of vertical-slip angle. The overall guidance system employing the revised relative system model, course control and speed allocation has performed well during path-following under strong ocean current and/or wave disturbances and measurement noises in both 2-D and 3-D scenarios. In 2-D and 3-D 4 degrees-of-freedom models (DOF), the common sway-underactuated and fully actuated cases are considered, and in 3-D 5-DOF model, sway and heave underactuated and fully actuated cases are considered. Stability results of the LOS guidance laws include the semi-global exponential stability (SGES) of the switching LOS guidance and enclosure-based LOS guidance for straight and curved paths, and SGES of the loolahead-based LOS guidance laws for curved paths. Feedback sliding mode and PID controllers are applied during PF providing a comparison between them, and simulations are carried out in MatLab

    Path following of an underactuated AUV based on fuzzy backstepping sliding mode control

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    This paper addresses the path following problem of an underactuated autonomous underwater vehicle (AUV) with the aim of dealing with parameter uncertainties and current disturbances. An adaptive robust control system was proposed by employing fuzzy logic, backstepping and sliding mode control theory. Fuzzy logic theory is adopted to approximate unknown system function, and the controller was designed by combining sliding mode control with backstepping thought. Firstly, the longitudinal speed was controlled, then the yaw angle was made as input of path following error to design the calm function and the change rate of path parameters. The controller stability was proved by Lyapunov stable theory. Simulation and outfield tests were conducted and the results showed that the controller is of excellent adaptability and robustness in the presence of parameter uncertainties and external disturbances. It is also shown to be able to avoid the chattering of AUV actuator

    3D Coordinated Path Following with Disturbance Rejection for Formations of Under-actuated Agents

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    In this paper coordinated path following for formations of under-actuated agents in three dimensional space is considered. The agents are controlled to follow a straight-line path whilst being affected by an unknown environmental disturbance. The problem is solved using a twofold approach. In particular, the agents are controlled to the desired path using a guidance law that rejects an unknown, but constant, disturbance. Simultaneously each agent utilises a decentralised nonlinear coordination law to achieve the desired formation. The closed-loop system of path-following and coordination dynamics is analysed using theory for feedback-interconnected systems. In particular, a technique from [1] is used that allows us to analyse a feedback-interconnected systems as a cascaded system. The origin of the closed-loop error dynamics is shown to be globally asymptotically stable. A case study with simulation results is presented to validate the control strategy.(c) 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works

    Robust Controller Design for an Autonomous Underwater Vehicle

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    Worldwide there has been a surge of interest in Autonomous Underwater Vehicles (AUV). The ability to operate without human intervention is what makes this technology so appealing. On the other hand, the absence of the human narrows the AUV operation to its control system, computing, and sensing capabilities. Therefore, devising a robust control is mandatory to allow the feasibility of the AUV. Motivated by this fact, this thesis aims to present, discuss and evaluate two linear control solutions being proposed for an AUV developed by a consortium led by CEiiA. To allow the controller design, the dynamic model of this vehicle and respective considerations are firstly addressed. Since the purpose is to enable the vehicleโ€™s operation, devising suitable guidance laws becomes essential. A simple waypoint following and station keeping algorithm, and a path following algorithms are presented. To devise the controllers, a linear version of the dynamic model is derived considering a single operational point. Then, through the decoupling of the linear system into three lightly interactive subsystems, four Proportional Integral Derivative controllers (PIDs) are devised for each Degree Of Freedom (DOF) of the vehicle. A Linear Quadratic Regulator (LQR) design, based on the decoupling of the linear model into longitudinal and lateral subsystems is also devised. To allocate the controller output throughout the actuators, a control allocation law is devised, which improves maneuverability of the vehicle. The results present a solid performance for both control methods, however, in this work, LQR proved to be slightly faster than PID.ร‰ visรญvel, a nรญvel mundial, um aumento considerรกvel do interesse em Veรญculos Autรณnomos Subaquรกticos (Autonomous Underwater Vehicles - AUV). O que torna esta tecnologia tรฃo atraente รฉ a capacidade de operar sem intervenรงรฃo humana. Contudo, a ausรชncia do ser humano restringe a operaรงรฃo do AUV ao seu sistema de controlo, computaรงรฃo e capacidades de detecรงรฃo. Desta forma, conceber um controlo robusto รฉ obrigatรณrio para viabilizar o AUV. Motivado por este facto, esta tese tem como objetivo apresentar, discutir e avaliar duas soluรงรตes de controlo linear, a propor a um AUV desenvolvido por um consรณrcio liderado pelo CEiiA. Para que o projeto do controlador seja possรญvel, o modelo dinรขmico deste veรญculo e respectivas consideraรงรตes sรฃo primeiramente abordados. Com a finalidade de possibilitar a operaรงรฃo do veรญculo, torna-se essencial a elaboraรงรฃo de leis de guidance adequadas. Para este efeito sรฃo apresentados algorรญtmos de Waypoint following e Station keeping, e de path following. Para a projeรงรฃo dos controladores รฉ derivada uma versรฃo linear do modelo dinรขmico, considerando um รบnico ponto operacional. Atravรฉs da separaรงรฃo do modelo linear em trรชs subsistemas sรฃo criados quatro controladores Proporcional Integral Derivativo (PID) para cada grau de liberdade (Degree Of Freedom - DOF) do veรญculo. ร‰ tambรฉm projetado um Regulador Linear Quadrรกtico (LQR), baseado na separaรงรฃo do modelo linear em dois subsistemas, longitudinal e lateral. ร‰ ainda apresentada uma lei de alocaรงรฃo de controlo para distribuir o sinal de saรญda dos controladores pelos diferentes atuadores. Esta provou melhorar a manobrabilidade do veรญculo. Os resultados finais apresentam um desempenho sรณlido para ambos os mรฉtodos de controlo. No entanto, neste trabalho, o LQR provou ser mais rรกpido do que o PID

    Guidance Laws for Autonomous Underwater Vehicles

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    The predictive functional control and the management of constraints in GUANAY II autonomous underwater vehicle actuators

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    Autonomous underwater vehicle control has been a topic of research in the last decades. The challenges addressed vary depending on each research group's interests. In this paper, we focus on the predictive functional control (PFC), which is a control strategy that is easy to understand, install, tune, and optimize. PFC is being developed and applied in industrial applications, such as distillation, reactors, and furnaces. This paper presents the rst application of the PFC in autonomous underwater vehicles, as well as the simulation results of PFC, fuzzy, and gain scheduling controllers. Through simulations and navigation tests at sea, which successfully validate the performance of PFC strategy in motion control of autonomous underwater vehicles, PFC performance is compared with other control techniques such as fuzzy and gain scheduling control. The experimental tests presented here offer effective results concerning control objectives in high and intermediate levels of control. In high-level point, stabilization and path following scenarios are proven. In the intermediate levels, the results show that position and speed behaviors are improved using the PFC controller, which offers the smoothest behavior. The simulation depicting predictive functional control was the most effective regarding constraints management and control rate change in the Guanay II underwater vehicle actuator. The industry has not embraced the development of control theories for industrial systems because of the high investment in experts required to implement each technique successfully. However, this paper on the functional predictive control strategy evidences its easy implementation in several applications, making it a viable option for the industry given the short time needed to learn, implement, and operate, decreasing impact on the business and increasing immediacy.Peer ReviewedPostprint (author's final draft

    Underwater Robots Part II: Existing Solutions and Open Issues

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    National audienceThis paper constitutes the second part of a general overview of underwater robotics. The first part is titled: Underwater Robots Part I: current systems and problem pose. The works referenced as (Name*, year) have been already cited on the first part of the paper, and the details of these references can be found in the section 7 of the paper titled Underwater Robots Part I: current systems and problem pose. The mathematical notation used in this paper is defined in section 4 of the paper Underwater Robots Part I: current systems and problem pose

    ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ์กฐ๋ฅ˜ ์™ธ๋ž€์„ ๊ณ ๋ คํ•œ ๊ฒฝ๋กœ ์ถ”์ข… ์ œ์–ด๊ธฐ ์„ค๊ณ„

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    ํ•™์œ„๋…ผ๋ฌธ (์„์‚ฌ)-- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› ๊ณต๊ณผ๋Œ€ํ•™ ์กฐ์„ ํ•ด์–‘๊ณตํ•™๊ณผ, 2017. 8. ๊น€์šฉํ™˜.์ž‘๋™๊ธฐ์ˆ˜๊ฐ€ ๋ถ€์กฑํ•œ ๋Œ€ํ‘œ์ ์ธ ์šด๋™์ฒด์ธ ์–ด๋ขฐํ˜• ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ๊ฒฝ๋กœ ์ถ”์ข… ๋ฌธ์ œ๋Š” ๋น„์„ ํ˜•์„ฑ์ด ํฐ ์‹œ์Šคํ…œ์˜ ํŠน์„ฑ์œผ๋กœ ์ธํ•ด ๋น„์„ ํ˜• ์ œ์–ด ๋ถ„์•ผ์—์„œ ๋‹ค์–‘ํ•˜๊ฒŒ ์—ฐ๊ตฌ๋˜์—ˆ๋‹ค. ์šดํ•ญ์†๋„๊ฐ€ ๋Š๋ฆฌ๊ณ  ์ œ์–ดํŒ์˜ ํฌ๊ธฐ๊ฐ€ ์ƒ๋Œ€์ ์œผ๋กœ ์ž‘์•„ ์™ธ๋ž€์˜ ์˜ํ–ฅ์ด ํฐ ๊ตฌ์กฐ์  ํŠน์ง•์œผ๋กœ ์ธํ•ด ์กฐ๋ฅ˜์™€ ๊ฐ™์€ ๋ฏธ์ง€์˜ ํ™˜๊ฒฝ ์™ธ๋ž€๊ณผ ๋ชจ๋ธ๋ง ๋ถˆํ™•์‹ค์„ฑ์€ ์–ด๋ขฐํ˜• ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ๊ฒฝ๋กœ ์ถ”์ข… ๋ฌธ์ œ์— ์žˆ์–ด์„œ ๊ทน๋ณตํ•ด์•ผํ•˜๋Š” ๊ณผ์ œ๋กœ ๋– ์˜ฌ๋ž๋‹ค. ์ด๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด ๋ณตํ•ฉ ์‹œ์„ ๊ฐ ์œ ๋„(Augmented LOS guidance) ๊ธฐ๋ฒ• ๋“ฑ ์™ธ๋ž€์˜ ์˜ํ–ฅ์„ ๋ณด์ƒํ•  ์ˆ˜ ์žˆ๋Š” ์œ ๋„ ๋ฐฉ์‹์„ ์ฑ„ํƒํ•˜๊ฑฐ๋‚˜ ๋ฆฌ์•„ํ”„๋…ธํ”„ ๊ธฐ๋ฒ•(Lyapunov method)์„ ํ™œ์šฉํ•œ ์ œ์–ด ๊ธฐ๋ฒ•, ์ ์‘ ์ œ์–ด ๊ธฐ๋ฒ•(Adaptive control) ๋“ฑ์„ ํ™œ์šฉํ•œ ๋‹ค์–‘ํ•œ ๊ฒฝ๋กœ ์ถ”์ข… ์ œ์–ด๊ธฐ๊ฐ€ ์ œ์•ˆ๋˜์–ด์™”๋‹ค. ๋ณธ ๋…ผ๋ฌธ์€ ๊ฒฝ๋กœ์— ์ ‘ํ•˜๊ณ  ์žˆ๋Š” ๊ฒฝ๋กœ ์ขŒํ‘œ๊ณ„์ƒ์—์„œ์˜ ๊ฒฝ๋กœ ์ดํƒˆ ์˜ค์ฐจ ๊ฐ’๊ณผ ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ์„ ์ฒด๊ณ ์ •์ขŒํ‘œ๊ณ„์—์„œ ์ธก์ •๋˜๋Š” ์†๋„ ์„ฑ๋ถ„๋“ค์„ ์ด์šฉํ•˜์—ฌ ๋ชฉํ‘œ ์„ ์ˆ˜๊ฐ(Desired angle)์„ ๊ณ„์‚ฐํ•˜๋Š” ์ƒˆ๋กœ์šด ํ˜•ํƒœ์˜ ๋น„์„ ํ˜• ์œ ๋„ ๋ฐฉ์‹์„ ์ œ์•ˆํ•˜์˜€๋‹ค. ์‹œ์Šคํ…œ์˜ ์•ˆ์ •์„ฑ์„ ์œ„ํ•ด ์œ ๋„ ๋ฒ•์น™ ๊ณ„์ˆ˜๊ฐ€ ์ด์šฉ๋˜์—ˆ์œผ๋ฉฐ, ๋ฆฌ์•„ํ”„๋…ธํ”„ ์•ˆ์ •์„ฑ ์ด๋ก ์„ ์ด์šฉํ•˜์—ฌ ์ œ์•ˆ๋œ ์œ ๋„ ๋ฐฉ์‹์˜ ๊ฒฝ๋กœ ์ˆ˜๋ ด์„ฑ์„ ์ฆ๋ช…ํ•˜์˜€๋‹ค. ์ œ์•ˆ๋œ ์œ ๋„ ๋ฐฉ์‹์€ ๋ฏธ๋„๋Ÿฌ์ง ์†๋„(Side-slip velocity)๊ฐ€ ์กด์žฌํ•˜์ง€ ์•Š๋Š” ๊ฒฝ์šฐ ๊ฒฝ๋กœ ์ถ”์ข…์— ๊ฐ€์žฅ ๋งŽ์ด ํ™œ์šฉ๋˜๋Š” ๋ฐฉ์‹์ธ ์‹œ์„ ๊ฐ ์œ ๋„ ๋ฒ•์น™(LOS guidance)๊ณผ ๊ฐ™์€ ํ˜•ํƒœ๋ฅผ ๋ ๊ฒŒ ๋œ๋‹ค. 2์ฐจ์› ์ง์„  ๊ฒฝ๋กœ์— ๋Œ€ํ•œ ๊ฒฝ๋กœ ์ถ”์ข… ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ํ†ตํ•ด ์‹œ์„ ๊ฐ ์œ ๋„(LOS guidance), ๊ทธ๋ฆฌ๊ณ  ๊ฐ•ํ™” ์‹œ์„ ๊ฐ ์œ ๋„ ๊ธฐ๋ฒ•์˜ ํ•˜๋‚˜์ธ ์ ๋ถ„-์‹œ์„ ๊ฐ ์œ ๋„(Integral-LOS guidance) ๋ฐฉ์‹๊ณผ ์„ฑ๋Šฅ์„ ๋น„๊ต๋ถ„์„ ํ•˜์˜€๋‹ค. ํผ์„ผํŠธ ์˜ค๋ฒ„์ŠˆํŠธ(% Overshoot)์™€ ๊ฒฝ๋กœ ์ดํƒˆ ์˜ค์ฐจ์— ๋Œ€ํ•œ ๋น„์šฉ ํ•จ์ˆ˜, ์ •์ƒ์ƒํƒœ ์˜ค์ฐจ(Steady-state error), ๋ฐฉํ–ฅํƒ€ ์†๋„(Rudder rate)์— ๋Œ€ํ•œ ๋น„์šฉ ํ•จ์ˆ˜ ๋“ฑ์„ ๋น„๊ต ๋ถ„์„ํ•œ ๊ฒฐ๊ณผ, ์ œ์•ˆ๋œ ์œ ๋„ ๋ฐฉ์‹์€ ์กฐ๋ฅ˜์˜ ์˜ํ–ฅ์ด ์—†๋Š” ํ™˜๊ฒฝ์—์„œ๋Š” ๋‹ค๋ฅธ ์œ ๋„ ๋ฐฉ์‹๊ณผ ๋น„์Šทํ•œ ์„ฑ๋Šฅ์„ ๋ณด์˜€์ง€๋งŒ ์กฐ๋ฅ˜๊ฐ€ ์žˆ๋Š” ํ™˜๊ฒฝ์—์„œ๋Š” ์˜ค๋ฒ„์ŠˆํŠธ์™€ ๊ฒฝ๋กœ ์ดํƒˆ ์˜ค์ฐจ์˜ ์ธก๋ฉด์—์„œ ์„ฑ๋Šฅ์ด ๋›ฐ์–ด๋‚จ์„ ๋ณด์˜€๋‹ค. ๋ชจ๋ธ๋ง ๋ถˆํ™•์‹ค์„ฑ๊ณผ ๋ฏธ์ง€์˜ ์™ธ๋ž€์„ ๊ณ ๋ คํ•˜๊ธฐ ์œ„ํ•ด ์ œ์•ˆ๋œ ์œ ๋„ ๋ฐฉ์‹์„ ์‹ ๊ฒฝํšŒ๋กœ๋ง ๊ธฐ๋ฐ˜ ์ ์‘ ์ œ์–ด ๊ธฐ๋ฒ•์— ์ ์šฉํ•˜์—ฌ ์ตœ์ข…์ ์ธ ๊ฒฝ๋กœ ์ถ”์ข… ์ œ์–ด๊ธฐ๋ฅผ ์„ค๊ณ„ํ•˜์˜€๋‹ค. ์ž‘๋™๊ธฐ์˜ ์œ„์น˜์™€ ์†๋„ ํฌํ™”๋„(saturation)์— ๋”ฐ๋ฅธ ์‹œ์Šคํ…œ์˜ ๋น„์„ ํ˜•์„ฑ์— ์‹ ๊ฒฝํšŒ๋กœ๋ง์ด ์ ์‘ํ•˜์—ฌ ์„ฑ๋Šฅ์ด ์ €ํ•˜๋˜๋Š” ๊ฒƒ์„ ๋ฐฉ์ง€ํ•˜๊ธฐ ์œ„ํ•ด PCH ๊ธฐ๋ฒ•์„ ์‚ฌ์šฉํ•˜์˜€๋‹ค. ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ์ผ๋ฐ˜์ ์ธ ๊ตฌ์กฐ์  ํŠน์ง•์— ๋”ฐ๋ผ ํšก๋™์š” ์šด๋™์ด ์ƒ๋žต๋œ 5์ž์œ ๋„ ์šด๋™์„ ๊ณ ๋ คํ•˜์˜€๋‹ค. ๋˜ํ•œ ํฌ๊ธฐ๊ฐ€ ์ผ์ •ํ•˜๊ณ  ๋น„ํšŒ์ „์„ฑ์ธ ์กฐ๋ฅ˜ ์กฐ๋ฅ˜์˜ ์†๋ ฅ์ด ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ์†๋ ฅ๋ณด๋‹ค ์ž‘๊ณ  ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ์ถ”๋ ฅ์€ ์ผ์ •ํ•˜๋‹ค๋Š” ๊ฐ€์ • ํ•˜์— ์กฐ๋ฅ˜์— ๋Œ€ํ•œ ์™ธ๋ ฅ์„ ์กฐ๋ฅ˜์— ๋Œ€ํ•œ ์ƒ๋Œ€์†๋„๋ฅผ ์ด์šฉํ•˜์—ฌ ๋‹จ์ˆœํ™”ํ•˜์˜€๋‹ค. ์กฐ๋ฅ˜์— ๋Œ€ํ•œ ์ƒ๋Œ€์†๋„์™€ ๊ด€๋ จ๋œ ์œ ์ฒด๋ ฅ ๋ฏธ๊ณ„์ˆ˜์™€ ์กฐ๋ฅ˜ ์†๋„๋ฅผ ๋ฏธ์ง€์˜ ๊ฐ’์œผ๋กœ ์„ค์ •ํ•œ ํ›„, ์šด๋™๋ฐฉ์ •์‹์„ ๋ชจ๋ธ๋ง์ด ๋œ ํ•ญ๊ณผ ๋ชจ๋ธ๋ง๋˜์ง€ ์•Š์€ ํ•ญ์œผ๋กœ ๊ตฌ๋ถ„ํ•˜์˜€๋‹ค. 3์ฐจ์› ๊ณก์„  ๊ฒฝ๋กœ์— ๋Œ€ํ•œ ๊ฒฝ๋กœ ์ถ”์ข… ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ์ˆ˜ํ–‰ํ•œ ๊ฒฐ๊ณผ, ์ œ์•ˆ๋œ ๊ฒฝ๋กœ ์ถ”์ข… ์ œ์–ด๊ธฐ์˜ ์ ์‘ ์‹ ํ˜ธ(Adaptive signal)๊ฐ€ ์šด๋™๋ฐฉ์ •์‹์˜ ๋ชจ๋ธ๋ง ๋˜์ง€ ์•Š์€ ํ•ญ์— ์ˆ˜๋ ดํ•˜๋Š” ๊ฒƒ์„ ๋ณด์˜€์œผ๋ฉฐ, ์ˆ˜ํ‰๋ฐฉํ–ฅ ๊ฒฝ๋กœ ์ดํƒˆ ์˜ค์ฐจ 0.1m ์ด๋‚ด, ์ค‘๋ ฅ์˜ ์˜ํ–ฅ์ด ์ž‘์šฉํ•˜๋Š” ์ˆ˜์ง๋ฐฉํ–ฅ์˜ ๊ฒฝ๋กœ ์ดํƒˆ ์˜ค์ฐจ๋Š” 2m ์ด๋‚ด๋กœ ์ถฉ๋ถ„ํžˆ ์šฐ์ˆ˜ํ•œ ๊ฒฝ๋กœ ์ถ”์ข… ์„ฑ๋Šฅ์„ ๋ณด์˜€๋‹ค.์ œ 1 ์žฅ ์„œ๋ก  1 ์ œ 2 ์žฅ ๋ฌด์ธ์ž ์ˆ˜์ •์˜ ์šด๋™๋ฐฉ์ •์‹ 6 ์ œ 1 ์ ˆ ์ขŒํ‘œ๊ณ„ ์„ค์ • 6 ์ œ 2 ์ ˆ ์šด๋™ํ•™(Kinematics) 9 ์ œ 3 ์ ˆ ์šด๋™๋ฐฉ์ •์‹(Equations of Motion) 10 ์ œ 3 ์žฅ ์œ ๋„ ๋ฒ•์น™(Guidance Law) 14 ์ œ 1 ์ ˆ ์œ ๋„-ํ•ญ๋ฒ•-์ œ์–ด (GNC) ์‹œ์Šคํ…œ 14 ์ œ 2 ์ ˆ ์ œ์–ด ๋ชฉํ‘œ(Control Object) 18 ์ œ 3 ์ ˆ ์‹œ์„ ๊ฐ ์œ ๋„ ๋ฒ•์น™ 19 ์ œ 4 ์ ˆ ์ ๋ถ„-์‹œ์„ ๊ฐ ์œ ๋„ ๋ฒ•์น™ 21 ์ œ 5 ์ ˆ ๋น„์„ ํ˜• ์‹œ์„ ๊ฐ ์œ ๋„ ๋ฐฉ์‹ 22 ์ œ 1 ํ•ญ ์œ ๋„ ๋ฒ•์น™ 22 ์ œ 2 ํ•ญ ๊ฒฝ๋กœ ์ˆ˜๋ ด์„ฑ ์ฆ๋ช… 23 ์ œ 3 ํ•ญ ๋น„์„ ํ˜• ์‹œ์„ ๊ฐ ์œ ๋„ ๋ฐฉ์‹ ํŠน์„ฑ ๋ถ„์„ 26 ์ œ 4 ์žฅ ์ œ์–ด๊ธฐ ์„ค๊ณ„ 29 ์ œ 1 ์ ˆ ์˜์‚ฌ์ œ์–ด(Pseudo Control) ๊ธฐ๋ฒ• 29 ์ œ 2 ์ ˆ ์‹ ๊ฒฝํšŒ๋กœ๋ง ๊ธฐ๋ฐ˜ ์ ์‘ ์ œ์–ด 32 ์ œ 3 ์ ˆ Pseudo Control Hedging (PCH) ๊ธฐ๋ฒ• 35 ์ œ 4 ์ ˆ ์ œ์–ด๊ธฐ ๊ตฌ์„ฑ 37 ์ œ 5 ์žฅ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ 39 ์ œ 1 ์ ˆ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ์กฐ๊ฑด 39 ์ œ 2 ์ ˆ ์˜คํ”ˆ๋ฃจํ”„ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ 41 ์ œ 3 ์ ˆ ์œ ๋„ ๋ฐฉ์‹์— ๋”ฐ๋ฅธ ๋น„๊ต 45 ์ œ 4 ์ ˆ 3์ฐจ์› ๊ณก์„  ๊ฒฝ๋กœ ์ถ”์ข… 49 ๊ฒฐ ๋ก  54 ์ฐธ๊ณ ๋ฌธํ—Œ 56 Abstract 60Maste
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