• Title/Summary/Keyword: Guidance law

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Performance Comparison between True Proportional Navigation Guidance Law and Pure Proportional Navigation Guidance Law (단거리 지대공 유도무기에서의 순비례항법 유도법칙과 진비례항법 유도법칙의 성능비교)

  • Liu, Yue-Huan;Jeon, Chil-Hwan;Lee, Yeon-Seok
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.525-530
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    • 2007
  • In this paper, a performance comparison between traditional TPN (true proportional navigation) guidance law and PPN(pure proportional navigation) guidance law is made, based on a short range surface-to-air missile simulation program. This simulation program has a nonlinear aerodynamic missile model, a roll stabilized autopilot, a nonlinear radar model, and a target model, According to the simulation results, the PPN guidance law has better performances than TPN guidance law under the condition of evasive target.

Three-dimensional Guidance Law for Formation Flight of UAV

  • Min, Byoung-Mun;Tahk, Min-Jea
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.463-467
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    • 2005
  • In this paper, the guidance law applicable to formation flight of UAV in three-dimensional space is proposed. The concept of miss distance, which is commonly used in the missile guidance laws, and Lyapunov stability theorem are effectively combined to obtain the guidance commands of the wingmen. The propose guidance law is easily integrated into the existing flight control system because the guidance commands are given in terms of velocity, flight path angle and heading angle to form the prescribed formation. In this guidance law, communication is required between the leader and the wingmen to achieve autonomous formation. The wingmen are only required the current position and velocity information of the leader vehicle. The performance of the proposed guidance law is evaluated using the complete nonlinear 6-DOF aircraft system. This system is integrated with nonlinear aerodynamic and engine characteristics, actuator servo limitations for control surfaces, various stability and control augmentation system, and autopilots. From the nonlinear simulation results, the new guidance law for formation flight shows that the vehicles involved in formation flight are perfectly formed the prescribed formation satisfying the several constraints such as final velocity, flight path angle, and heading angle.

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OPTIMAL IMPACT ANGLE CONTROL GUIDANCE LAWS AGAINST A MANEUVERING TARGET

  • RYOO, CHANG-KYUNG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.19 no.3
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    • pp.235-252
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    • 2015
  • Optimal impact angle control guidance law and its variants for intercepting a maneuvering target are introduced in this paper. The linear quadratic(LQ) optimal control theory is reviewed first to setup framework of guidance law derivation, called the sweep method. As an example, the inversely weighted time-to-go energy optimal control problem to obtain the optimal impact angle control guidance law for a fixed target is solved via the sweep method. Since this optimal guidance law is not applicable for a moving target due to the angle mismatch at the impact instant, the law is modified to three different biased proportional navigation(PN) laws: the flight path angle control law, the line-of-sight(LOS) angle control law, and the relative flight path angle control law. Effectiveness of the guidance laws are verified via numerical simulations.

New guidance law for air-to-air missile

  • Baba, Yoriaki;Takehira, Tetsuya
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.456-461
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    • 1993
  • In this paper, a new guidance law for a short-range air-to-air missile with constant thrust is presented. It is essentially based on the concept of proportional navigation. First, the theoretical guidance law is derived. Then, we show the technique for practical implementation of the guidance law. By a computer simulation, it is shown that the new guidance law gives better performance than the conventional proportional navigation.

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The closed-form solution and its approximation of the optimal guidance law (최적유도법칙의 closed-form 해와 근사식)

  • 탁민제;박봉규;선병찬;황인석;조항주;송택렬
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.572-577
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    • 1992
  • In this paper, the optimal homing guidance problem is investigated for the general missile/target models described in the state-space. The closed-form solution of the optimal guidance law derived, and its asymptotic properties are studied as the time-to-go goes to infinity or zero. Futhermore, several approximate solutions of the optimal guidance law are suggested for real-time applications.

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A Study on the Guidance Law Suitable for Target Tracking System of an Underwater Vehicle (수중운동체의 목표추적시스템에 적합한 유도론 선정에 대한 연구)

  • Yun, Kun-Hang;Rhee, Key-Pyo;Yeo, Dong-Jin
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.4 s.142
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    • pp.299-306
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    • 2005
  • To determine a guidance law which is suitable for Target Tracking System(TTS) of an underwater vehicle, the performance (hitting probability) of TTS were calculated with four different guidance schemes, considering underwater vehicle's manoeuvrability and characteristics of seeking equipment such as sonar To evaluate the performance of TTS with each guidance law, numerous target-tracking simulations of underwater vehicle were performed under the condition of target's various motion scenario. Furthermore, the effect of sonar characteristics to the performance of guidance law in TTS was studied by changing parameters of sonar such as frequency of ping and detecting error of target. The pursuit-tail guidance law showed the best performance among four different guidance laws. Complex motion of target from straight line to turning circle and zigzag movement, low frequency of sonar ping and large detecting error of target decreased the hitting probability.

A Vertical Line Following Guidance Law Design (수직면 직선추종유도법칙 설계)

  • Whang, Ick-Ho;Cho, Sung-Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.7
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    • pp.1309-1313
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    • 2010
  • In this paper, we propose a novel guidance law for controlling an UAV(Unmanned Air-Vehicle) to follow a reference line in vertical plane. A kinematics model representing the relative motion of the UAV to the reference line is derived. And then LQR(Linear Quadratic Regulator) theory is applied to the model to derive the VLFG(Vertical Line Following Guidance) law. The resultant guidance law forms a gain-scheduling controller scheduled by a simple parameter $\sigma$ which is a function of the UAV's velocity, axial acceleration, gravity, and the slope of the reference line. Also derived is a stability condition for the $\sigma$ variation based on Lyapunov theory. Simulation results show that the proposed guidance law can be applied effectively to UAV guidance algorithm design.

A receding horizon guidance law considering autopilot lag (자동조종장치 지연을 고려한 미사일의 이동구간 유도법칙)

  • Han, Chang-Woon
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.115-118
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    • 2003
  • In recent years, a receding horizon guidance law based on receding horizon control and optimal control is proposed. A receding horizon guidance law considering autopilot lag and constraints is proposed. The performance of receding horizon guidance law in the presence of target maneuvers is confirmed by simulation results. Through many simulation, a suitable selection of weighting matrix can minimize effect of disturbance, target acceleration. which is meaning of this paper.

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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.

Minimum-Time Guidance and Control Law for High Maneuvering Missile

  • Yamaoka, Seiji
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.1
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    • pp.46-58
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    • 2009
  • This paper deals with design procedure of online guidance and control law for future missiles that requires agile maneuverability. For the purpose, the missile with high powered side thruster is proposed. The guidance and control law for such missiles is discussed from a point of view of optimal control theory in this paper. Minimum time problem is solved for the approximated system. It is derived that bang- bang control is optimal input from the necessary conditions of optimal solution. Feedback guidance without iterative calculation is useful for actual systems. In this paper. multiple design point method is applied to design feedback gains and feed forward inputs of the guidance and control law. The numerical results show that the proposed guidance and control law has a high -performance for wide-ranging boundary conditions.