• 제목/요약/키워드: 유도법칙

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Design of Aim Angle Following Guidance Law Using Lyapunov Theory (르야프노프 이론을 이용한 목표각 추종 유도법칙 설계)

  • Kim, Ki-Seok;Kim, You-Dan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.7
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    • pp.81-89
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    • 2002
  • Guidance laws can be conceptually classified into three categories although their mathematical representations are various and different. In this paper, a generalized conceptual guidance law including the concepts of the above categories is proposed. The aim angle is introduced using the geometry of the collision triangle. The aim angle represents the arbitrary angle between the pursuit angle and the expected collision angle. The objective of the proposed guidance law is to make the aim angle zero asymptotically. It can be shown that the aim angle error response for the considered system is same as that of the first order system. When the autopilot of the missile system has slow dynamics, autopilot time lag may deteriorate the performance of the guidance law performance. In this case, another new guidance law compensating the autopilot time lag effect is proposed. To verify the proposed guidance laws, several numerical simulations are performed.

Target Observability Analysis of Time-to-go Polynomial Guidance Law (Time-to-go 다항식 유도 법칙의 표적 가관측성 분석)

  • Lee, Chang-Hun;Kim, Tae-Hun;Tahk, Min-Jea
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.7
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    • pp.664-672
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    • 2010
  • This paper provides the target observability analysis of time-to-go polynomial guidance law with bearing-only measurement. In this study, a direct approach is used to analyze the target observability. Since the observability condition of a constant-velocity target is given by the function of LOS angle only, the target observability characteristic is determined by substituting the closed form solution of LOS angle to the observability condition directly. The analysis results show that the target observability is depended on the choice of guidance gain, initial intercept condition and guidance command shape. After that this mathematical analysis result is evaluated and demonstrated by number of simulation.

Definition of Impact Angle and Impact Angle Control Law Against Maneuvering Target (기동표적에 대한 입사각 정의와 입사각 제어 유도법칙)

  • Kim, Hyun-Seung;Park, Sang-Sup;Ryoo, Chang-Kyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.8
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    • pp.669-676
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    • 2015
  • In this paper, a guidance law for intercepting maneuvering target with a desired impact angle is proposed. The proposed guidance law is modified from the optimal impact angle control law for a fixed target and given by a biased PN law with the impact angle control term in addition to the conventional PN law. Three different kinds of desired impact angles in the respect of LOS angle, flight path angle, and relative flight path angle to the target are defined. The performance of the proposed guidance law is investigated via numerical simulations for various air-to-air engagement scenarios.

Time-to-go Polynomial Guidance Law for Target Observability Enhancement (표적 가관측성 향상을 위한 Time-to-go 다항식 유도법칙)

  • Kim, Tae-Hun;Lee, Chang-Hun;Tahk, Min-Jea
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.1
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    • pp.16-24
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    • 2011
  • In this paper, we propose a new guidance law for target observability enhancement, which can control both terminal impact angle and acceleration. The proposed guidance law is simple form, combined conventional time-to-go polynomial guidance and a additional bias term which consists of relative position and proportional gain. The guidance law provides oscillatory flight trajectory and it maintains the conventional time-to-go polynomial guidance performance. To investigate the characteristics of the guidance law, we derive the closed-form solution, and various simulations are performed for proving the validity of the proposed guidance.

Suboptimal Homing Guidance Law by Synthesis of the Aided Loop for Impact Angle Constraint (충돌각 구속조건을 위한 보조루프 합성을 통한 준최적 호밍 유도법칙)

  • Lee, Jin-Ik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.11
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    • pp.1006-1012
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    • 2007
  • In this paper, a suboptimal homing guidance law for the homing missiles with an impact angle constraint is presented. Unlike general LQ optimal control, the aided loop ensuring some degrees of freedom for the constraint is introduced. Then an optimal feedback loop in consideration of the aided loop is designed by using Schwartz inequality. The aided loop is synthesized with the optimal control to produce the guidance command. Furthermore, to investigate the characteristics of the guidance law we carry out the comparative studies with other guidance laws. The results of the various computer simulations show the good performance of the proposed law.

Guidance Law to Control Impact-Time-And-Angle Using Time-Varying Gains (시변 이득을 이용한 비행시간 및 충돌각 제어 유도법칙)

  • Lee, Jin-Ik;Jeon, In-Soo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.7
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    • pp.633-639
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    • 2007
  • This paper presents a new homing guidance law based on well-known BPN to achieve an impact time constraint as well as an impact angle constraint. The guidance commands are synthesized by introducing an additional command to control impact-time. The structure of the additional command has a BPN-based loop multiplied by time-varying gains being proportional to the time difference between the required time-to-go and the estimated time-to-go by BPN. Moreover, the proposed homing loop converges to BPN as the time-to-go error is reduced. The performance of the proposed guidance law is evaluated by the computer simulations.

A Practical Guidance Law Considering Missile Dynamics (유도탄 응답지연을 고려한 실용적인 유도법칙)

  • Kim, Jong-Ju;Lyou, Joon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.7
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    • pp.658-665
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    • 2008
  • In this study a practical guidance law for missile guidance loop is established by considering the missile dynamics. Assuming the attitude controlled missile, several optimal guidance laws according to missile dynamical characteristics are derived by applying the optimal control theory and an effective guidance law in practical point is presented.

Aircraft Collision-Avoidance/Guidance Strategy in Dynamic Environments for Planar Flight (2차원 평면에서 이동장애물에 대한 항공기의 유도/회피기동 연구)

  • Rhee, Ihn-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.7
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    • pp.69-75
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    • 2004
  • An avoidance/guidance problem of an aircraft against moving obstacle is considered in two dimensional space. The aircraft is modelled as a point mass flying with constant speed. The lateral acceleration is assumed the control input. Artificial potential functions are applied to the terminal point and moving obstacles in order that repulsive forces and an attractive force are produced by the obstacles and the terminal point respectively. A real time guidance/avoidance law is proposed by using the potential forces and relative velocity. The guidance law for a logarithm potential function results the well-known proportional navigation law. The avoidance control command is inverse proportional to the time-to-go to the obstacle and turns the aircraft toward the negative direction of the line-of-sight change. The performance of the proposed guidance/avoidance law is verified with simulations.

Generalized Guidance Law with Control Time Constraint for Exoatmospheric Target Interception (외기권 표적 요격을 위한 제어시간 구속조건을 가지는 일반화된 유도법칙)

  • Park, Bong-Gyun;Kim, Tae-Hun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.46 no.10
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    • pp.814-822
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    • 2018
  • This paper proposes a guidance law for missiles with control time constraint. Because the proposed guidance law is based on a time-to-go polynomial, it has a generalized form. Also, acceleration of the proposed law converges to zero at the end of the control time, which reduces the sensitivity to the time-to-go estimation error and can increase the flight stability when the separation of the missile appears. A prediction method of the time-to-go is proposed for implementing the proposed law, and the possibility of application to the midcourse and terminal guidance phases is dealt with for exoatmospheric interception. The characteristics and performance of the proposed law are analyzed throughout various simulations.

A Point Navigation Guidance Law for Unmanned Helicopter Using Predicted Position (위치 예측에 기반한 무인헬기 점항법 유도법칙 개발)

  • Kim, Seong-Pil;Lee, Jang-Ho;Kim, Bong-Ju;Gwon, Hyeong-Jun;Kim, Eung-Tae;An, Lee-Gi
    • Aerospace Engineering and Technology
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    • v.5 no.2
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    • pp.1-7
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    • 2006
  • This paper presents a new point navigation guidance law which is useful for unmanned helicopters. Predicting the future position, the guidance law generates velocity and heading commands, which are used as input to autopilot. This method differs from conventional guidance law in that it reorients the direction of flight velocity vector directly, not by bank angle indirectly. For flight tests, we have developed a flight control system for a R/C helicopters. The system consists of a flight control computer, navigation sensors, and a ground station The results of the test show that the proposed law guides a unmanned helicopter along a line path within a given area. In the future, we are planning to extend the guidance law to the mission of path following. i.e., waypoint navigation.

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