Missile guidance laws based on pursuit–evasion game formulations

Turetsky, Vladimir; Shinar, J.

doi:10.1016/s0005-1098(02)00273-x

Cited by 117 publications

(48 citation statements)

References 6 publications

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“…(54)), which is the optimal evasive strategy yielded from the bounded differential game 8,9,11,12) and represents the worst case.…”

Section: Discussionmentioning

confidence: 99%

“…The continuous strategies have smaller capture zones, but can require a smaller control effort. 12,13) In this study, the focus is different: it is on designing the linear-quadratic games guidance law, tailored for a missile steered by dual-thruster control, and modifying it with bounded controls. The new guidance strategies will determine the distribution of control commands between the two control systems.…”

Section: Introductionmentioning

confidence: 99%

“…The target is approximated by a first-order strictly proper TF. [7][8][9][10][11][12][13][14] However, if the target maneuvering acceleration is generated by aerodynamic lift, the control effort directly affects the divert acceleration. Thus, in this paper, the target maneuvering dynamics are approximated by a first-order biproper TF.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Liu

Lü

et al. 2012

Trans. Japan Soc. Aero. S Sci.

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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.

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“…(54)), which is the optimal evasive strategy yielded from the bounded differential game 8,9,11,12) and represents the worst case.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Liu

Lü

et al. 2012

Trans. Japan Soc. Aero. S Sci.

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“…If a target behavior is unpredictable, the interception problem should be formulated as a robust control problem ). An important type of robust control problem is a differential game (see, e.g., Isaacs, 1965;Ho et al, 1965;Leitmann, 1980;Glizer, 1999;Turetsky and Shinar, 2003;Patsko and Turova, 2004;Shinar et al, 2013). Note that an unpredictable target maneuver can be regarded as a fault in the interception.…”

Section: Introductionmentioning

confidence: 99%

Increasing Pursuer Capturability by Using Hybrid Dynamics

Glizer

Turetsky

2015

International Journal of Applied Mathematics and Computer Science

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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.

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“…Due to the development of Linear Quadratic (LQ) optimal control theory, a large portion of the literature focuses on PE differential games with a performance criterion in a quadratic form and linear dynamics, c.f. Ho et al [1965], Turetsky and Shinar [2003].…”

Section: Introductionmentioning

confidence: 99%

Game of Defending a Target: A Linear Quadratic Differential Game Approach

Cruz

2008

IFAC Proceedings Volumes

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Missile guidance laws based on pursuit–evasion game formulations

Cited by 117 publications

References 6 publications

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

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

Increasing Pursuer Capturability by Using Hybrid Dynamics

Game of Defending a Target: A Linear Quadratic Differential Game Approach

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