• Title/Summary/Keyword: Guidance law

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Performance Analysis of Conventional and Modified Proportional Navigation Guidance Laws for a Random Maneuvering Targeta (임의의 방향조정을 하는 목표물에 대한 비례항법 및 수정비례항법의 성능분석)

  • 하인중;허종성;고명삼;이장규;송택렬;안조영
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.597-602
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    • 1988
  • In this paper, we consider conventional and modified proportional navigation guidance(PNG) laws for a random maneuvering target. By means of Lyapunov function approach, we show that an ideal missile guided by the conventional PNG law can always intercept a random maneuvering target if some specified initial conditions are satisfied and the navigation constant is chosen sufficiently high. In addition, we propose a modified PNG law. At the final phase of pursuit, the proposed guidance law has a better acceleration profile than the conventional PNG law.

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Proportional navigation guidance and error analysis of fast-rolling single-axis control missiles (단축조종 고속회전 유도탄의 비례항법유도 및 오차해석)

  • 전병을;송찬호
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.482-485
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    • 1996
  • We design a homing guidance law based on the proportional navigation for the fast-rolling, single-axis control missiles and analyse the misdistance of the designed guidance system. The guidance law includes a compensation scheme which compensates for the phase-shift between the commanded and achieved acceleration which is peculiar to the fast rolling airframe with single-axis control. In the error analysis of the guidance system, we calculate the misdistance with respect to the target maneuver on the 3-dimensional space via direct simulations. Also, we conduct adjoint simulation on the 2-dimensional plane in case that phase-shift is perfectly compensated. Finally we approximate the linear time-varying dynamics of the missile with autopilot to a linear time-invarient system, and as a result we can find the misdistance as a closed-form.

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Time-Delay Control for Integrated Missile Guidance and Control

  • Park, Bong-Gyun;Kim, Tae-Hun;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
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    • v.12 no.3
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    • pp.260-265
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    • 2011
  • In this paper, integrated missile guidance and control systems using time-delay control (TDC) are developed. The next generation missile requires that an interceptor hits the target, maneuvering with small miss-distances, and has lower weight to reduce costs. This is possible if the synergism existing between the guidance and control subsystems is exploited by the integrated controller. The TDC law is a robust control technique for nonlinear systems, and it has a very simple structure. The feature of TDC is to directly estimate the unknown dynamics and the unexpected disturbance using one-step time-delay. To investigate the performance of the integrated controller, numerical simulations are performed as the maneuver of the target. The results show that the integrated guidance and control system has a good performance.

Proportional Navigation-Based Optimal Collision Avoidance for UAVs (비례항법을 이용한 무인 항공기의 최적 충돌 회피 기동)

  • 한수철;방효충
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.11
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    • pp.1065-1070
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    • 2004
  • Optimal collision avoidance algorithm for unmanned aerial vehicles based on proportional navigation guidance law is investigated this paper. Although proportional navigation guidance law is widely used in missile guidance problems, it can be used in collision avoidance problem by guiding the relative velocity vector to collision avoidance vector. The optimal navigation coefficient can be obtained if an obstacle if an obstacle moves at constant velocity vector. The stability of the proposed algorithm is also investigated. The stability can be obtained by choosing a proper navigation coefficient.

Navigation constants in PNG law and the associated optimal control problems (PNG의 항법상수와 이와 관련된 최적제어 문제)

  • 조항주
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.578-583
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    • 1992
  • In this paper, we show that various navigation constant values in PNG law can result in as optimal gains when we introduce proper time-varying weighting functions into the cost function of an optimal control problem. we then apply this idea to the guidance problem where we are required to achieve a given impact angle as well as the zero miss distance. As a result, we obtain a set of optimal guidance laws each of which could be related to a navigation constant in PNG. Some basic properties of these guidance laws are also presented.

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Homing Guidance Law of Anti-Ship Missiles Using Flight Path Angle (비행 경로각을 이용한 대함 유도탄의 호밍 유도법칙)

  • Jin, Sheng-Hao;Yang, Bin;Hwang, Chung-Won;Park, Seung-Yub;Park, Seung-Je
    • Journal of Advanced Navigation Technology
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    • v.14 no.5
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    • pp.596-603
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    • 2010
  • This paper presents a homing guidance law of anti-ship missiles using flight path angle to achieve an impact time constraint as well as an impact angle constraint. the independent variable in the nonlinear engagement model is change d from the flight time to the heading angle of the missile. The proposed guidance law can home a missile to the target with zero miss distance as well as satisfying both of the impact angle and time constraints. The performance of the proposed guidance law is evaluated by the computer simulations.

Guidance Law of Missiles for Control Impact-Time-and-Angle by Flight Path Angle in Three Dimensional Space (3차원 공간에서의 비행 경로각을 이용한 비행시간 및 충돌각 제어 유도법칙)

  • Jin, Sheng-Hao;Lee, Chun-Gi;Yang, Bin;Hwan, Chung-Won;Park, Seung-Yub
    • Journal of Advanced Navigation Technology
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    • v.16 no.1
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    • pp.8-15
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    • 2012
  • This paper on the assumption that the target is stationary and the velocity of missile is fixed value. In three dimensional space. Using flight path angle to simultaneous control impact-time-and-angle base on a homing guidance law. The independent variable in the nonlinear engagement model is the flight path angle of the missile. The propose homing guidance law can see the controllability of impact-time-and-angle. And also can see the processing of the missile arrive at the target. It is applied to several salvo attack scenarios. The performance of the proposed guidance law is verified by simulations.

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.

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.

Guidance Law for Agile Turn of Air-to-Air Missile During Boost Phase

  • Han, Seungyeop;Bai, Ji Hoon;Hong, Seong-Min;Roh, Heekun;Tahk, Min-Jea;Yun, Joongsup;Park, Sanghyuk
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.4
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    • pp.709-718
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    • 2017
  • This paper proposes the guidance laws for an agile turn of air-to-air missiles during the initial boost phase. Optimal solution for the agile turn is obtained based on the optimal control theory with a simplified missile dynamic model. Angle-of-attack command generating methods for completion of agile turn are then proposed from the optimal solution. Collision triangle condition for non-maneuvering target is reviewed and implemented for update of terminal condition for the agile turn. The performance of the proposed method is compared with an existing homing guidance law and the minimum-time optimal solution through simulations under various initial engagement scenarios. Simulation results verify that transition to homing phase after boost phase with the proposed method is more effective than direct usage of the homing guidance law.