• Title/Summary/Keyword: Proportional navigation

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Performance Analysis of Pursuit-Evasion Game-Based Guidance Laws

  • Kim, Young-Sam;Kim, Tae-Hun;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.2
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    • pp.110-117
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    • 2010
  • We propose guidance laws based on a pursuit-evasion game. The game solutions are obtained from a pursuit-evasion game solver developed by the authors. We introduce a direct method to solve planar pursuit-evasion games with control variable constraints in which the game solution is sought by iteration of the update and correction steps. The initial value of the game solution is used for guidance of the evader and the pursuer, and then the pursuit-evasion game is solved again at the next time step. In this respect, the proposed guidance laws are similar to the approach of model predictive control. The proposed guidance method is compared to proportional navigation guidance for a pursuit-evasion scenario in which the evader always tries to maximize the capture time. The capture sets of the two guidance methods are demonstrated.

Absolutely Stable Region for Missile Guidance Loop (유도탄 유도루프의 절대안정한 시간영역)

  • Kim, Jong-Ju;Lyou, Joon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.3
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    • pp.244-249
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    • 2008
  • In this paper, the stable region for missile guidance loop employing an integrated proportional navigation guidance law is derived. The missile guidance loop is formulated as a closed-loop control system consisting of a linear time-invariant feed-forward block and a time-varying feedback gain. By applying the circle criterion to the system, a bound for the time of flight up to which stability can be assured is established as functions of flight time. Less conservative results, as compared to the result by Popov criterion, are obtained.

New Guidance Filter Structure for Homing Missiles with Strapdown IIR Seeker

  • Kim, Tae-Hun;Kim, Jong-Han;Kim, Philsung
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.4
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    • pp.757-766
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    • 2017
  • For implementing the proportional navigation guidance law on passive homing missiles equipped with strapdown imaging infrared seekers, the line-of-sight angles and rates with respect to the inertial frame should be estimated by carefully handling the parasitic instability effect due to the seeker's latency. By introducing a new state vector representation along with the Pade approximation for compensating the time-delay of the seeker, this paper proposes a new guidance filter structure, stochastic dynamic models and measurement equations, in three-dimensional homing problem. Then, it derives the line-of-sight angle and rate estimator in general two-dimensional engagement by applying the extended Kalman filter to the proposed structure. The estimation performance and the characteristics of the proposed filter were evaluated via a series of numerical experiments.

Time-varying biased proportional navigation for terminal guidance with impact attitude angle constraint (충돌 자세각 제한조건을 갖는 종단 유도를 위한 시변 편향 비례항법)

  • 김병수;이보형;이장규;김삼수;조현진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.355-358
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    • 1996
  • The primary objective of guidance system is to generate suitable commands so that the pursuer comes closer to its target. It is necessary, however, in the guidance of a certain pursuer that the attitude angle at impact should be within a prescribed range in addition to specification on the miss distance. These guidance requirements can not be satisfied by the general guidance laws developed for miss distance minimization. Compared with the demand in many applications, the guidance laws dealing with impact attitude angle constraint are not easily found. In this paper, biased PNG laws are proposed to obtain the guidance purposes. By Lyapunov method, it is shown that the pursuer can intercept the target with a prescribed attitude angle under the assumption that the pursuer is sufficiently fast and the target maneuver is negligible. The simulation results are presented to demonstrate the performance of the suggested guidance laws.

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Motion Control of an AUV (Autonomous Underwater Vehicle) Using Fuzzy Gain Scheduling (퍼지 게인 스케쥴링을 이용한 자율 무인 잠수정의 자세 제어)

  • Park, Rang-Eun;Hwang, Eun-Ju;Lee, Hee-Jin;Park, Mignon
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.6
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    • pp.592-600
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    • 2010
  • The problem of motion control for AUV (Autonomous Underwater Vehicles) is addressed. The utilization of such robotic vehicles has gained an increasing importance in many marine activities. In this paper the objective is to describe how to design and apply FGS (Fuzzy Gain Scheduling) PD (Proportional Derivative) controller for an AUV (Autonomous Underwater Vehicle) to control the yaw and depth of the vehicle by keeping the path of the navigation to a desired point, and/or changing the path according to a set point.

Three Dimensional Aerial Combat Simulation

  • Choi, Gi-Sang;Unhavanich, SumaLee
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.90-90
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    • 2001
  • This paper deals with the development of a practical control system or an algorithm for optimal aerobatic maneuvers and aerial combat maneuvers. First, a nonlinear flight trajectory tracking control system is synthesized and used to realize the optimal aerobatic maneuver. Some simulation results show that the trajectory achieved with the proposed tracking system is close to the optimal one. This means that the tracking system presented is the practical and effective method to realize the optimal aerobatic maneuvers. Second, the algorithm for a fighter in air combat is presented. This is a simple algorithm that uses a proportional navigation, some dynamic rules based on the conservation of specific energy and some experiential rules in air combat. However ...

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Design of Augmented Guidance Law Considering Geometric Pursuit Angle

  • Kim, You-Dan;Kim, Ki-Seok;Moon, Gwan-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.125.5-125
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    • 2001
  • Until now, many guidance laws have been developed. They mainly used the classical tail-pursuit guidance method based on geometric angle information, the proportional navigation method based on the line of sight(LOS) rate, and the optimal guidance law based on optimal control theorem. In the augmented guidance law, target acceleration information and autopilot characteristics are added the guidance command. In this study, new guidance laws considering geometric angle are proposed. Two guidance laws are developed for the midcourse guidance law, and a guidance law is developed for the terminal guidance respectively. The proposed guidance laws utilize the LOS rate and the geometric angle information simultaneously. In the midcourse guidance, the guidance command is ...

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A Modified Nonlinear Guidance Logic for a Leader-Follower Formation Flight of Two UAVs (무인항공기의 Leader-Follower 편대비행을 위한 수정된 비선형 유도법칙)

  • Kim, Do-Myung;Park, Sang-Hyuk;Nam, Su-Hyun;Suk, Jin-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.1
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    • pp.8-14
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    • 2009
  • A formation flight guidance logic that enables the leader-follower station keeping between two UAVs is presented in this paper. The logic is motivated by the investigation of the relation between the proportional navigation and the nonlinear trajectory tracking guidance law, The simplicity of the presented method provides computational efficiency and allows easy implementation. An excellent performance of the proposed logic is demonstrated via various numerical simulations for multiple UAVs environment.

The Realization of the Three Dimensional Guidance Law Using Modified Augmented Proportional Navigation (개선된 부가비례항법을 이용한 3차원 유도법칙의 구현)

  • Kim, Y.M.;Seo, J.H.
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.222-224
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    • 1995
  • This paper deals with 3-dimensional missile guidance law. This presents the general optimal solution of the state equation which includes the target maneuvering as the Gauss-Markov processing. The main results ore about the transformation between the Cartesian coordinates on which both the guidance law and the filter are bused and the polar coordinates system in real missile guidance and measurement information. And the extended Kalman filter and adjustment of the estimated target acceleration by triangular functions is proposed solution to this transformation problem. It is shown that this proposed transformation is valid in real 3-dimensional guidance problem by the computer simulation.

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A Probabilistic Algorithm for Multi-aircraft Collision Detection and Resolution in 3-D

  • Kim, Kwang-Yeon;Park, Jung-Woo;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.2
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    • pp.1-8
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    • 2008
  • This paper presents a real-time algorithm for collision detection, collision avoidance and guidance. Three-dimensional point-mass aircraft models are used. For collision detection, conflict probability is calculated by using the Monte-Carlo Simulation. Time at the closest point of approach(CPA) and distance at CPA are needed to determine the collision probability, being compared to certain threshold values. For collision avoidance, one of possible maneuver options is chosen to minimize the collision probability. For guidance to a designated way-point, proportional navigation guidance law is used. Two scenarios on encounter situation are studied to demonstrate the performance of proposed algorithm.