Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint

Chen, Zhongyuan; Chen, Wanchun; Liu, Xiaoming; Jin, Cheng

doi:10.1016/j.ast.2021.106523

Cited by 100 publications

(53 citation statements)

References 57 publications

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“…In order to derive an analytical solution to the guidance command, let us focus on the linear dynamics equation presented in (18). Substituting (28) into (18) results in the following optimal states dynamics:…”

Section: Analytical Solution To Guidance Commandmentioning

confidence: 99%

“…where, κ 0 = Z 10 / V M Z 20 t f is the initial value of κ. Substituting (36) into (28), the expression to guidance command is derived as…”

Section: Analytical Solution To Guidance Commandmentioning

confidence: 99%

“…Li [19] further designed a unified optimal impact angle guidance law with the energy consumption weighted by an arbitrary positive function, which can adapt to different types of interceptors and targets. In addition to the guidance law based on the optimal control theory, biased proportional navigation [20][21][22][23][24] and slidingmode guidance law [25][26][27][28][29] can also realize the impact with a specified angle. However, all these guidance laws do not consider the acceleration limit, which possibly leads to large miss-distance and impact angle error if the acceleration saturation occurs near the target.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Guidance Law with Impact-Angle Constraint and Acceleration Limit for Exo-Atmospheric Interception

2021

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This paper aims to develop an optimal guidance law for exo-atmospheric interception, in which impact-angle constraint and acceleration limit are considered. Firstly, an optimal control problem with constraints on terminal miss and impact-angle is formulated, in which the control energy performance index is weighted by a power function of the time-to-go. The closed-loop guidance command, which is expressed as a linear combination of zero-effort miss distance and the zero-effort angle error, is derived using a traditional order reduction transformation. Then, an analytical solution to the maximal acceleration during the flight is obtained by analyzing the boundary points and critical points of the guidance command curve. It is found that the maximal acceleration is a function of the weighted gain in the performance index. Therefore, the maximal acceleration can be efficiently limited by using the variable weighted gain. Furthermore, the relationship between the total control energy and the weighted gain is studied. As a result, a systematic method is proposed for selecting the weighted gain so as to meet the constraint of the acceleration while the total control energy is minimal. Nonlinear simulations have been carried out to test the performance of the proposed method. The results show that this method performs well in intercepting the maneuvering target with a negligible miss distance and intercept angle error. And it can tolerate a stricter acceleration limit in comparison with the typical method.

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Section: Analytical Solution To Guidance Commandmentioning

confidence: 99%

“…where, κ 0 = Z 10 / V M Z 20 t f is the initial value of κ. Substituting (36) into (28), the expression to guidance command is derived as…”

Section: Analytical Solution To Guidance Commandmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimal Guidance Law with Impact-Angle Constraint and Acceleration Limit for Exo-Atmospheric Interception

2021

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“…To solve this problem, a new FxTCG law was presented in [32], which utilizes an adaptive fixed-time convergence reaching law together with a novel fixed-time consensus protocol. 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.…”

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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“…Zhang et al used a time-varying navigation parameter with traditional PNG to design the cooperative guidance [22]. Based on fixed time theory, Chen et al provided a fixed-time robust cooperative guidance [23]. Chen et al [24] designed a cooperative guidance for multiple powered missiles.…”

Section: Introductionmentioning

confidence: 99%

Cooperative Midcourse Guidance Law with Communication Delay

Ren

Luo

et al. 2021

International Journal of Aerospace Engineering

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The initial conditions of the cooperative terminal guidance law, which are the terminal conditions of the cooperative midcourse guidance, have a greater impact on its cooperation and guidance precision, so it is worthy of investigating the cooperative midcourse guidance. In addition, the problem of communication delay between the network nodes is inevitable and has a greater impact on the cooperative guidance law. To solve the above problems, a novel distributed cooperative midcourse guidance (DCMG) law with communication delay is proposed by combining the cooperative term with a distributed consensus protocol including communication delay under the directed communication topology. Firstly, a DCMG law with communication delay is designed by combining the trajectory shaping guidance with the distributed protocol including communication delay under the directed communication topology; secondly, the consensus of the proposed DCMG law with communication delay under the directed graph is proved; finally, the effectiveness and superiority of the proposed DCMG law are verified by numerical simulations.

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Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint

Cited by 100 publications

References 57 publications

Optimal Guidance Law with Impact-Angle Constraint and Acceleration Limit for Exo-Atmospheric Interception

Optimal Guidance Law with Impact-Angle Constraint and Acceleration Limit for Exo-Atmospheric Interception

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Cooperative Midcourse Guidance Law with Communication Delay

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