• 제목/요약/키워드: 컨벡스최적화

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Mid-course Trajectory Optimization for Boost-Glide Missiles Based on Convex Programming (컨벡스 프로그래밍을 이용한 추진-활공 유도탄의 중기궤적 최적화)

  • Kwon, Hyuck-Hoon;Hong, Seong-Min;Kim, Gyeong-Hun;Kim, Yoon-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.1
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    • pp.21-30
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    • 2021
  • Mid-course trajectory of the missiles equipped with seeker should be designed to detect target within FOV of seeker and to maximize the maneuverability at the point of transition to terminal guidance phase. Because the trajectory optimization problems are generally hard to obtain the analytic solutions due to its own nonlinearity with several constraints, the various numerical methods have been presented so far. In this paper, mid-course trajectory optimization problem for boost-glide missiles is calculated by using SOCP (Second-Order Cone Programming) which is one of convex optimization methods. At first, control variable augmentation scheme with a control constraint is suggested to reduce state variables of missile dynamics. And it is reformulated using a normalized time approach to cope with a free final time problem and boost time problem. Then, partial linearization and lossless convexification are used to convexify dynamic equation and control constraint, respectively. Finally, the results of the proposed method are compared with those of state-of-the-art nonlinear optimization method for verification.

Actuator Mixer Design in Rotary-Wing Mode Based on Convex Optimization Technique for Electric VTOL UAV (컨벡스 최적화 기법 기반 전기추진 수직이착륙 무인기의 추진 시스템 고장 대처를 위한 회전익 모드 믹서 설계)

  • Jung, Yeondeuk;Choi, Hyungsik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.48 no.9
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    • pp.691-701
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    • 2020
  • An actuator mixer design using convex optimization technique situation where the propulsion system of an electric VTOL UAV during vertical take-off and landing maneuvers is proposed. The attainable control set to analyze the impact from failure of each motor and propeller can be calculated and illustrated using the properties of the convex function. The control allocation can be defined as a convex function optimization problem to obtain an optimal solution in real time. The mixer is implemented using a convex optimization solver, and the performance of the control allocation methods is compared to the attainable control set. Finally, the proposed mixer is compared with other techniques with nonlinear sux degree-of-freedom simulation.

Multiple Drones Collision Avoidance in Path Segment Using Speed Profile Optimization (다수 드론의 충돌 회피를 위한 경로점 구간 속도 프로파일 최적화)

  • Kim, Tae-Hyoung;Kang, Tae Young;Lee, Jin-Gyu;Kim, Jong-Han;Ryoo, Chang-Kyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.50 no.11
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    • pp.763-770
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    • 2022
  • In an environment where multiple drones are operated, collisions can occur when path points overlap, and collision avoidance in preparation for this is essential. When multiple drones perform multiple tasks, it is not appropriate to use a method to generate a collision-avoiding path in the path planning phase because the path of the drone is complex and there are too many collision prediction points. In this paper, we generate a path through a commonly used path generation algorithm and propose a collision avoidance method using speed profile optimization from that path segment. The safe distance between drones was considered at the expected point of collision between paths of drones, and it was designed to assign a speed profile to the path segment. The optimization problem was defined by setting the distance between drones as variables in the flight time equation. We constructed the constraints through linearize and convexification, and compared the computation time of SQP and convex optimization method in multiple drone operating environments. Finally, we confirmed whether the results of performing convex optimization in the 20 drone operating environments were suitable for the multiple drone operating system proposed in this study.

Sequential Convex Programming Based Performance Analysis of UAV Design (순차 컨벡스 프로그래밍 기반 무인기 설계 형상의 성능 분석)

  • Ko, Hyo-Sang;Choi, Hanlim;Jang, Jong-Youn;Kim, Joon;Ryu, Gu-Hyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.50 no.11
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    • pp.771-781
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    • 2022
  • Sequential convex programming based performance analysis of the designed UAV is performed. The nonlinear optimization problems generated by aerodynamics are approximated to socond order program by discretization and convexification. To improve the performance of the algorithm, the solution of the relaxed problem is used as the initial trajectory. Dive trajectory optimization problem is analyzed through iterative solution procedure of approximated problem. Finally, the maximum final velocity according to the performance of the actuator model was compared.

Asymmetric Joint Scheduling and Rate Control under Reliability Constraints in Cognitive Radio Networks (전파인지 네트워크에서 신뢰성 보장 비대칭 스케줄-데이터율 결합제어)

  • Nguyen, Hung Khanh;Song, Ju-Bin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.49 no.7
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    • pp.23-31
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    • 2012
  • Resource allocation, such as joint rate control and scheduling, is an important issue in cognitive radio networks. However, it is difficult to jointly consider the rate control and scheduling problem due to the stochastic behavior of channel availability in cognitive radio networks. In this paper, we propose an asymmetric joint rate control and scheduling technique under reliability constraints in cognitive radio networks. The joint rate control and scheduling problem is formulated as a convex optimization problem and substantially decomposed into several sub-problems using a dual decomposition method. An algorithm for secondary users to locally update their rate that maximizes the utility of the overall system is also proposed. The results of simulations revealed that the proposed algorithm converges to a globally optimal solution.

Comparative analysis of the acoustic characteristics of different types of cymbal transducers (심벌 트랜스듀서의 종류별 음향 특성 비교 분석)

  • Choi, Youji;Shim, Hayeong;Roh, Yongrae
    • The Journal of the Acoustical Society of Korea
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    • v.38 no.3
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    • pp.256-265
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    • 2019
  • Several types of cymbal transducers used for underwater detection have been studied. Representative types are Moonie, convex cymbal, and concave cymbal transducers. In this study, we analyzed the characteristics of these three types of transducers for underwater broadband projectors and compared them together. First, the influence of structural variables on the acoustic characteristics of the transducers was analyzed. Based on this, we derived the structure of each transducer type to have a specific center frequency and the maximum bandwidth. As a result of comparing the performance of the optimized transducers, the convex cymbal transducer turned out to be best in terms of both broad bandwidth and high power.

Optimal Soft Landing Guidance and Attitude Control for Reusable Launch Vehicles (재사용 발사체를 위한 최적 연착륙 유도 및 자세 제어 연구)

  • Jeon, Ho-Young;Cho, Jun-Hyon;Kim, Jong-Han
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.50 no.4
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    • pp.251-257
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    • 2022
  • We formulated the convex optimization based minimum energy soft landing problem for reusable launch vehicles, and obtained the minimum time trajectory via the bisection search. In order to implement the the optimal guidance command and complete the flight control architectures on the soft landing stage, we designed the classical attitude control loops, and formulated and solved the optimal actuator allocation problem. The obtained soft landing guidance performance was analyzed via nonlinear 6-DOF simulation.

Optimal Gamma-Correction Parameter Estimation for Low-Light Image Enhancement (저조도 영상의 대조비 향상을 위한 최적의 감마 보정 계수 추정 기법)

  • Jeong, Inho;Lee, Chul
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2018.11a
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    • pp.44-45
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    • 2018
  • 본 논문은 감마 보정 기반의 저조도 영상의 대조비 향상을 위한 최적의 계수 추정 기법을 제안한다. 제안하는 기법은 먼저 입력 영상의 휘도 정보를 로그 함수를 이용하여 정규화 한 후, 입력 영상을 밝은 부분과 어두운 부분으로 나눈다. 그런 다음 각각의 영역에서 통계적 특성을 고려한 비용 함수를 정의하고, 컨벡스 최적화 이론을 이용하여 최적의 감마보정 계수를 얻는다. 마지막으로 과포화 현상이 발생을 억제할 수 있는 색상 복원 기법을 적용한다. 컴퓨터 모의실험을 통해 제안하는 기법이 기존 기법에 비해서 낮은 계산 복잡도를 보이면서도 향상된 대조비를 보임을 확인한다.

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Optimal Design of Composite Laminated Plates with the Discreteness in Ply Angles and Uncertainty in Material Properties Considered (섬유 배열각의 이산성과 물성치의 불확실성을 고려한 복합재료 적층 평판의 최적 설계)

  • Kim, Tae-Uk;Sin, Hyo-Cheol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.3
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    • pp.369-380
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    • 2001
  • Although extensive efforts have been devoted to the optimal design of composite laminated plates in recent years, some practical issues still need further research. Two of them are: the handling of the ply angle as either continuous or discrete; and that of the uncertainties in material properties, which were treated as continuous and ignored respectively in most researches in the past. In this paper, an algorithm for stacking sequence optimization which deals with discrete ply angles and that for thickness optimization which considers uncertainties in material properties are used for a two step optimization of composite laminated plates. In the stacking sequence optimization, the branch and bound method is modified to handle discrete variables; and in the thickness optimization, the convex modeling is used in calculating the failure criterion, given as constraint, to consider the uncertain material properties. Numerical results show that the optimal stacking sequence is found with fewer evaluations of objective function than expected with the size of feasible region taken into consideration; and the optimal thickness increases when the uncertainties of elastic moduli considered, which shows such uncertainties should not be ignored for safe and reliable designs.

An Output Feedback $H_\infty$ Controller Design for Linear Systems with Commensurate Time Delay (커멘슈레이트 시간지연을 갖는 선형시스템의 출력궤환 $H_\infty$ 제어기 설계)

  • Yoo, Seog-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.4
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    • pp.1-10
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    • 2000
  • This paper deals with an H$_{\infty}$ output feedback control problem for linear systems with commensurate time delay in both state and input variables. The proposed output feedback controller also has commensurate time delay terms in the controller state. The controller can be synthesized based on the solution of the linear matrix inequalities(LMI) which can be easily solved using the convex optimization method. In order to demonstrate the efficacy of the proposed method, numerical examples are presented.

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