Three-Dimensional Fixed-Time Cooperative Guidance Law With Impact Angle Constraint and Prespecified Impact Time

Lin, Ming; Ding, Xiangjun; Wang, Chunyan; Zhang, Lipeng; Wang, Jianan

doi:10.1109/access.2021.3057428

Cited by 26 publications

(13 citation statements)

References 36 publications

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“…which is a function of initial conditions. Substituting (22) in (20) gives the expression for range as…”

Section: A Range Variation and Determination Of The Parameter Cmentioning

confidence: 99%

“…However, because many missile-target encounters in reality are three-dimensional, this work's main concern is on the impact time control in three-dimensional engagements. A three dimensional impact time control problem is discussed in [22], where a guidance command for the leader is issued in the line-of-sight (LOS) direction, causing the impact time error to converge to zero in a predetermined amount of time, allowing the leader to reach the target at the predetermined impact time. Following that, a guidance command for each follower is created based on information from adjacent interceptors to ensure that each follower's impact time is in sync with the leader's.…”

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confidence: 99%

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Three Dimensional Nonlinear Guidance Law for Exact Impact Time Control

Saleem

Lisy

2022

IEEE Access

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This paper presents a nonlinear guidance law for controlling the impact time of a missiletarget engagement in three dimensions. The guidance law is initially formulated for a two-dimensional encounter before being extended to a three-dimensional scenario. The guidance law is constructed such that nonlinear kinematics are neither linearized nor approximated. The guidance law offers a precise closed-form expression for impact time, which is the principal contribution of this work. Choosing an integrable heading error profile is the central concept of this research for determining an accurate impact time. A two-step strategy is utilized to accomplish an interception at a predetermined time. Because the control parameter is related to the desired impact time with an exact expression, a simple and accurate control of impact time is attained. The method provides equations for calculating the minimum and maximum impact times, enabling the determination of the range of impact times that can be achieved. The proposed guidance law can ensure that the seeker field of view restriction is not violated, If the initial heading error is within this limit. The developed method is utilized in salvo attacks, in which multiple missiles simultaneously strike an enemy target, increasing the missiles' effectiveness against the target's self-defense mechanism. To validate the effectiveness of the proposed strategy, MATLAB-based numerical simulations of 2D and 3D engagements, including salvo attacks, are conducted. INDEX TERMSImpact time control, Salvo attack, Three dimensional engagement, Nonlinear guidance law, Field of view I. INTRODUCTION

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“…which is a function of initial conditions. Substituting (22) in (20) gives the expression for range as…”

Section: A Range Variation and Determination Of The Parameter Cmentioning

confidence: 99%

mentioning

confidence: 99%

Three Dimensional Nonlinear Guidance Law for Exact Impact Time Control

Saleem

Lisy

2022

IEEE Access

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“…For the cooperative guidance model in (30), the sliding mode surface can be designed as (34). en, x 3i � 0 and x 4i � 0 can be achieved within the predefined time T c2 .…”

Section: Theoremmentioning

confidence: 99%

“…Moreover, Chen et al [33] proposed a 3D FxTCG law with LOS angle constraints for maneuvering target interception, which can achieve faster convergence and high precision. Lin et al [34] presented a 3D FxTCG law with impact angle constraints for the simultaneous arrival problem, which can set the desired impact time in advance. However, the selection of fixed convergence time is not arbitrary, and there is usually a complex relationship between the tunable parameters and the fixed convergence time.…”

Section: Introductionmentioning

confidence: 99%

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Liang

Wei

Zhang

et al. 2021

Mathematical Problems in Engineering

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To intercept the maneuvering target through multimissile cooperation, predefined-time cooperative guidance (PTCG) law is presented with constraints including the impact time and the line-of-sight (LOS) angle. In order to achieve simultaneous interception, we propose a PTCG law in the LOS direction based on a predefined-time consensus protocol, which guarantees the achievement of consensus on each missile’s impact time within the predefined time. Furthermore, to ensure the predefined-time convergence of the LOS angle and the predefined-time convergence of the LOS angular rate, a PTCG law with a fixed-time disturbance observer (FxTDO) is presented in the normal direction of the LOS. Compared with the traditional finite-time or fixed-time cooperative guidance laws, the proposed PTCG law predefines the upper bound of the settling time as an explicit parameter. Finally, the simulation results of the PTCG law verify the efficiency of the proposed method.

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“…25 However, these cooperative guidance laws did not consider the constraint of impact angle. Lin et al 26 developed a three-dimensional cooperative guidance law to tackle impact angle constrained simultaneous arrival problem. Even though the aforementioned cooperative guidance strategies could achieve consensus in impact time within fixed time, target's mobility was not considered.…”

Section: Introductionmentioning

confidence: 99%

Fixed-time cooperative guidance for multiple missiles with impact angle constraint

Zhou

Wang

Liu

2021

Proceedings of the Institution of Mechanical Engineers, Part G:

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For the guidance problem of multiple missiles attacking a maneuvering target simultaneously in plane, a novel fixed-time distributed cooperative guidance law with impact angle constraint is designed in this paper. The design process of distributed cooperative guidance law can be roughly divided into two parts. First, based on the nonsingular terminal sliding mode control, a cooperative guidance law on the line-of-sight (LOS) direction is developed, which can guarantee that all missiles hit the maneuvering target simultaneously. Second, another guidance law in normal direction of the LOS direction is designed to achieve the fixed-time convergence of LOS angular rate and LOS angle. Finally, numerical simulations verify the effectiveness of the proposed cooperative guidance law for different engagement scenarios.

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Three-Dimensional Fixed-Time Cooperative Guidance Law With Impact Angle Constraint and Prespecified Impact Time

Cited by 26 publications

References 36 publications

Three Dimensional Nonlinear Guidance Law for Exact Impact Time Control

Three Dimensional Nonlinear Guidance Law for Exact Impact Time Control

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Fixed-time cooperative guidance for multiple missiles with impact angle constraint

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