Optimal evasion against a proportionally guided pursuer

Cliff, Eugene M.; Ben-Asher, Joseph Z.

doi:10.2514/3.20450

Cited by 27 publications

(7 citation statements)

References 5 publications

(14 reference statements)

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“…We refer to Breivik et al (2008) for details of them. Roughly speaking, under the principal of LOS law, for example, Shneydor (1998), the control is to guide the pursuer on a LOS course of a fixed ground station and the evader; under the PP law, for example, Shneydor (1998) and Yamasaki et al (2009), the pursuer always aligns its velocity along the LOS angle between the evader and itself; under the PN law, for example, Shneydor (1998), Cliff and Ben-Asher (1989), Imado and Miwa (1986), and Imado and Miwa (1989), the pursuer selects the rotation rate of its velocity directly proportional to the rotation rate of the LOS angle between the pursuer and the evader. Among the three, the PN law has the best performance in missile attacking, especially for highspeed targets.…”

Section: I T E R a T U R E R E V I E Wmentioning

confidence: 99%

“…The evasion problem, on the other hand, focuses on the evader's strategy to get rid of the chasing, for example, Cliff and Ben-Asher (1989), Karelahti et al (2007), Shinar and Steinberg (1977) and Nahin (2012). Under a given strategy of the pursuer, the goal of the evader is to find the safest strategy by maximizing the capture time or to find an effective strategy with the least fuel cost.…”

Section: I T E R a T U R E R E V I E Wmentioning

confidence: 99%

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Evasion policies for a vessel being chased by pirate skiffs

Wang

2017

Naval Research Logistics

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Piracy attack is a serious safety problem for maritime transport worldwide. Whilst various strategic actions can be taken, such as rerouting vessels and strengthening navy patrols, this still cannot completely eliminate the possibility of a piracy attack. It is therefore important for a commercial vessel to be equipped with operational solutions in case of piracy attacks. In particular, the choice of a direction for rapidly fleeing is a critical decision for the vessel. In this article, we formulate such a problem as a nonlinear optimal control problem. We consider various policies, such as maintaining a straight direction or making turns, develop algorithms to optimize the policies, and derive conditions under which these policies are effective and safe. Our work can be used as a real‐time decision making tool that enables a vessel master to evaluate different scenarios and quickly make decisions.

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Section: I T E R a T U R E R E V I E Wmentioning

confidence: 99%

Section: I T E R a T U R E R E V I E Wmentioning

confidence: 99%

Evasion policies for a vessel being chased by pirate skiffs

Wang

2017

Naval Research Logistics

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“…In a oneon-one engagement, and supposing one has achieved an advantageous position to another and has caught the enemy in his lethal cone, he has to employ his missiles most effectively. Many studies have appeared about optimal missile avoidance by an aircraft [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], however, only a few papers have treated avoiding multiple missiles [12,18]. The reason for this could be that it is difficult for an aircraft to avoid even one missile, therefore avoiding two missiles is not realistic.…”

Section: Introductionmentioning

confidence: 99%

Engagement Tactics for Two Missiles Against an Optimally Maneuvering Aircraft

Imado

Kuroda

2011

Journal of Guidance, Control, and Dynamics

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The engagement tactics for two missiles to attack an aircraft are studied. A tail chase scenario between two aircraft is assumed where the attacker tries to kill the evader with two missiles, while the evader employs optimal maneuvers for avoiding two missiles. The algorithm to solve this optimal control problem is first developed. For the aircraft, in order to simultaneously maximize the miss distances against two missiles, a special type of performance index is introduced and the problems are solved by the solver based on the steepest ascent method. The result shows that the aircraft optimal maneuvers are divided into three patterns. Next, the optimal timing for the attacker to launch the two missiles, in order to minimize both miss distances against the aircraft is studied. The effect of their taking trajectory shaping is also studied. Nomenclature= missile navigation gain n = power of penalty function p = penalty function for the first missile r = slant range between missile and aircraft r 12 = initial distance between two missiles r 1a = reference value of the slant range between the first missile and aircraft r 1f , r 2f = closest ranges (miss distances) between the aircraft and the first and second missiles, respectively r m = the mean miss distance between two missiles, r 1f :r 2f 1 2 S = reference area T = thrust t = time t e = sustainer burning time t f = interception time t w1 , t w2 = start time and end time of window function u = control vector v = velocity v c = closing velocity w = window function x, y = longitudinal and lateral coordinates x = state vector , 0 = angle-of-attack and zero-lift angle, respectively = adjoint vector = air density , = line-of-sight and azimuth angles, respectively = missile time constant = performance index for minimizing both miss distances = stopping condition = terminal constraints = time derivative Subscripts a = aircraft c = command signal i = ith missile m = missile max, min = maximum and minimum values, respectively

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“…Therefore, the solutions proposed were obtained by applying different simplifying assumptions and using numerical solution schemes. The typical simplifying assumptions in these studies included: linearization around the collision course [11][12][13]16], two dimensional analysis [11-14, 16, 17], and constant interceptor and target speeds [11][12][13][14]16]. Solving the one-sided optimal control problem numerically, using methods such as steepest descent [10,15], can be done on more realistic models, but does not produce a general evasion strategy like analytical studies.…”

Section: Introductionmentioning

confidence: 99%

“…These target evasion guidance laws can be roughly divided into two categories: those that assume that the target has perfect information on the interceptor's initial conditions and state vector [6][7][8][9][10][11][12][13][14][15][16][17], and those that do not rely on this assumption [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Cooperative Multiple Model Adaptive Guidance for an Aircraft Defending Missile*

Shaferman

Shima

2010

AIAA Guidance, Navigation, and Control Conference

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A cooperative guidance law, for a defender missile protecting an aerial target from an incoming homing missile, is presented. The filter used is a nonlinear adaptation of a multiple model adaptive estimator, in which each model represents a possible guidance law and guidance parameters of the incoming homing missile. Fusion of measurements from both the defender missile and protected aircraft is performed. A matched defender's missile guidance law is optimized to the identified homing missile guidance law. It utilizes cooperation between the aerial target and the defender missile. The cooperation stems from the fact that the defender knows the future evasive maneuvers to be performed by the protected target and thus can anticipate the maneuvers it will induce on the incoming homing missile. Moreover, the target performs a maneuver that minimizes the control effort requirements from the defender. The estimator and guidance law are combined in a multiple model adaptive control configuration. Simulation results show that combining the estimations with the proposed optimal guidance law, that utilizes cooperation between the defending missile and protected target, yields hit-to-kill closed loop performance with very low control effort. This facilitates the use of relatively small defending missiles to protect aircrafts from homing missiles.

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Optimal evasion against a proportionally guided pursuer

Cited by 27 publications

References 5 publications

Evasion policies for a vessel being chased by pirate skiffs

Evasion policies for a vessel being chased by pirate skiffs

Engagement Tactics for Two Missiles Against an Optimally Maneuvering Aircraft

Cooperative Multiple Model Adaptive Guidance for an Aircraft Defending Missile*

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