Time-Varying Linear Pursuit-Evasion Game Models with Bounded Controls

Shima, Tal; Shinar, J.

doi:10.2514/2.4927

Cited by 136 publications

(51 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This may cause À a ðt f ; tÞ to change its sign. 7) Without loss of generality, here we assume that it changes only once. Therefore, the case selected for investigation is the one where the interceptor does not have an agility advantage over the target but has a maneuverability advantage using aerodynamic control only.…”

Section: Game Space Structurementioning

confidence: 99%

“…To simplify the equations of motion, the following assumptions are made in common with many preceding studies: 7,9) 1) The guidance problem can be treated as a planar engagement.…”

Section: Problem Formulationmentioning

confidence: 99%

“…5) Gutman investigated a scenario between two players assuming first-order pursuer dynamics and ideal evader Ó 2011 The Japan Society for Aeronautical and Space Sciences dynamics. 6) Based on realistic TBM flight conditions, the scenario was then extended to include time-varying velocities 7) and inherent estimation delay. 8) In all the above scenarios only a single actuator is considered, so guidance laws cannot be applied by interceptors with dual control systems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Bounded Differential Game Guidance Law for Interceptor Missiles with Aero Fins and Reaction Jets

Zhang

et al. 2011

Trans. Japan Soc. Aero. S Sci.

View full text Add to dashboard Cite

A differential game guidance law for an endoatmospheric interceptor missile steered by aero fins and reaction jets is developed in this paper with bounded controls. For a low-altitude endoatmospheric interceptor, the propellant of the reaction-jet control system (RCS) is restricted by the missile configuration. Considering propellant limits, the effect of the RCS thrust on homing performance is investigated through game space structures. Also, to use the RCS at an appropriate timing, game space decomposition is used to determine the initiating time of the RCS. Finally, the effectiveness of the guidance law is demonstrated by a realistic ballistic missile defense scenario. It is shown that the proposed guidance law provides a significant improvement in homing accuracy compared to the conditional one. Furthermore, under propellant limits, a bigger RCS thrust cannot guarantee a higher homing accuracy.

show abstract

Section: Game Space Structurementioning

confidence: 99%

“…To simplify the equations of motion, the following assumptions are made in common with many preceding studies: 7,9) 1) The guidance problem can be treated as a planar engagement.…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bounded Differential Game Guidance Law for Interceptor Missiles with Aero Fins and Reaction Jets

Zhang

et al. 2011

Trans. Japan Soc. Aero. S Sci.

View full text Add to dashboard Cite

show abstract

“…The solution of such a game is well known (Gutman and Leitmann, 1976;Shinar, 1981;Shima and Shinar, 2002;Gutman, 2006;Shinar et al, 2013). The key elements of this solution are (i) a scalarization of the original game and (ii) a decomposition of the space of the new (scalar) game into two regions, regular and singular.…”

Section: Introductionmentioning

confidence: 99%

Increasing Pursuer Capturability by Using Hybrid Dynamics

Glizer

Turetsky

2015

International Journal of Applied Mathematics and Computer Science

View full text Add to dashboard Cite

A robust interception of a maneuverable target (evader) by an interceptor (pursuer) with hybrid dynamics is considered. The controls of the pursuer and the evader are bounded. The duration of the engagement is prescribed. The pursuer has two possible dynamic modes, which can be switched once during the engagement, while the dynamics of the evader are fixed. The case where for both dynamic modes there exists an unbounded capture zone was analyzed in our previous work. The conditions under which the pursuer can increase its capturability by utilizing the hybrid dynamics were established and the new robust capture zone was constructed. In the present paper, we extend this result to the cases where at least for one dynamic mode of the pursuer the capture zone is bounded. For these instances, conditions of increasing the pursuer's hybrid capturability are derived. Respective capture zones are constructed. Illustrative examples and results of extensive simulation for a realistic non-linear engagement model in the presence of a random wind are given.

show abstract

“…8,11,[14][15][16] Such formulation of a scenario with the assumption of ideal dynamics of two players 17) was investigated and later extended to include first-order pursuer dynamics 18) and evader dynamics. 19) Two formulations 20) are studied for the linear-quadratic differential game associated with a trajectory-shaped interception phase of the interceptor.…”

Section: Introductionmentioning

confidence: 99%

Bounded Linear-Quadratic Differential Game Guidance Law for Dual-Thruster Controlled Missiles

Liu

Lü

et al. 2012

Trans. Japan Soc. Aero. S Sci.

View full text Add to dashboard Cite

A guidance law tailored for an interceptor missile steered by aerodynamic lift and divert-thruster and with its attitude oriented by forward attitude-thruster (dual-thruster control) is proposed. The bang-bang strategy has the maximal capture zone. However, it leads to control chattering, resulting in excessive control effort. The continuous strategies have smaller capture zones, but can require a smaller control effort. The combination of bang-bang and continuous strategies may lead to a cooperative effect of the capture zone and control effort. In this paper, the guidance law is derived using a linearquadratic differential game formulation and then modified for bounded controls. For the derivation, the interceptor closed-loop dynamics is represented by a first-order biproper transfer function for the attitude-thruster control system and a strictly proper one for the divert-thruster control system, respectively. Analysis based on the proposed guidance law shows that the divert-thruster control system has higher efficiency due to its small time constant and the direct forces that mainly affect the short-term behavior of the missiles. The parameters' effects and the control command distribution are also studied.

show abstract

Time-Varying Linear Pursuit-Evasion Game Models with Bounded Controls

Cited by 136 publications

References 9 publications

Bounded Differential Game Guidance Law for Interceptor Missiles with Aero Fins and Reaction Jets

Bounded Differential Game Guidance Law for Interceptor Missiles with Aero Fins and Reaction Jets

Increasing Pursuer Capturability by Using Hybrid Dynamics

Bounded Linear-Quadratic Differential Game Guidance Law for Dual-Thruster Controlled Missiles

Contact Info

Product

Resources

About