Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Liang, Jing; Wei, Changzhu; Zhang, Liang; Cui, Naigang

doi:10.1155/2021/9940240

Cited by 4 publications

(3 citation statements)

References 37 publications

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“…If (i, j) ϵ E, the node i shares information to node j or vice versa. Then a ij = 1, otherwise a ij = 0 [22]. In graph G, the degree matrix…”

Section: Graph Theorymentioning

confidence: 99%

Distributed Time and Space Cooperative Super Twisting Sliding Mode Guidance Laws for a Multi-Missile System

Patel,

Pipaliya,

Joshi

et al. 2024

Preprint

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This paper presents a distributed time and space cooperative guidance law based on a higher-order sliding mode protocol for the consensus among multiple missiles in the Line of Sight (LOS) and perpendicular to the LOS direction using a Multi-Agent System (MAS) approach. A graph theory is used to represent the communication between the missiles and a leader-follower approach of MAS is used to design the super-twisting sliding mode protocol for the consensus. The cooperative guidance law not only ensures robustness but also reduces the convergence time and the chattering during the consensus among multiple missiles. The stability condition of the consensus is also derived using the Lyapunov function.The protocol is validated among 4 missiles in the given pattern with two scenarios (1) Missile launching with different velocities and (2) Missile launching with the same velocities. The simulation results show that the consensus is achieved in a finite time. Further to show the efficacy of the robust cooperative guidance law, the results are compared with the guidance law designed using classical sliding mode control protocol with constant-rate and constant propositional rate reaching law. From the comparative analysis, it is inferred that the distributed time and space cooperative guidance law based on a higher-order sliding mode protocol performs better in terms of time required for consensus, time to hit the target, and precision.

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“…If (i, j) ϵ E, the node i shares information to node j or vice versa. Then a ij = 1, otherwise a ij = 0 [22]. In graph G, the degree matrix…”

Section: Graph Theorymentioning

confidence: 99%

Distributed Time and Space Cooperative Super Twisting Sliding Mode Guidance Laws for a Multi-Missile System

Patel,

Pipaliya,

Joshi

et al. 2024

Preprint

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show abstract

“…Wang [6] proposed a decoupled threedimensional sliding mode guidance law achieving simultaneous arrival at the target for multiple missiles with angle constraints. Jing [7] proposed a predefined-time convergence ITACG method for a multi-missile cooperative guidance scenario. Because of the design paradigm, the methods presented in Refs.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Because of the design paradigm, the methods presented in Refs. [1][2][3][4][5][6][7] all need a control force both in the LOS and normal LOS direction for time control and angle constraints, respectively. However, most existing missiles are thrust-free and controlled by aerodynamic force in the terminal guidance period.…”

Section: Literature Reviewmentioning

confidence: 99%

Cubature Kalman Filters Model Predictive Static Programming Guidance Method with Impact Time and Angle Constraints Considering Modeling Errors

Xie

Wei

et al. 2023

Mathematics

Self Cite

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This paper proposes a CKF-MPSP guidance method for hitting stationary targets with impact time and angle constraints for missiles in the presence of modeling errors. This innovative guidance scheme is composed of three parts: First, the model predictive static programming (MPSP) algorithm is used to design a nominal guidance method that simultaneously satisfies impact time and angle constraints. Second, the cubature Kalman filter (CKF) is introduced to estimate values of the influence of the inevitable modeling errors. Finally, a one-step compensation scheme is proposed to eliminate the modeling errors’ influence. The proposed method uses a real missile dynamics model, instead of a simplified one with a constant-velocity assumption, and eliminates the effects of modeling errors with the compensation scheme; thus, it is more practical. Simulations in the presence of modeling errors are conducted, and the results illustrate that the CKF-MPSP guidance method can reach the target with a high accuracy of impact time and angles, which demonstrates the high precision and strong robustness of the method.

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Appointed-Time Cooperative Guidance Law With Line-of-Sight Angle Constraint and Time-to-go Control

Zhang¹,

Li²,

Jing

et al. 2023

IEEE Trans. Aerosp. Electron. Syst.

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Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Cited by 4 publications

References 37 publications

Distributed Time and Space Cooperative Super Twisting Sliding Mode Guidance Laws for a Multi-Missile System

Distributed Time and Space Cooperative Super Twisting Sliding Mode Guidance Laws for a Multi-Missile System

Cubature Kalman Filters Model Predictive Static Programming Guidance Method with Impact Time and Angle Constraints Considering Modeling Errors

Appointed-Time Cooperative Guidance Law With Line-of-Sight Angle Constraint and Time-to-go Control

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