Missile-target relative distance

Missile-target relative distance

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For the guidance problem of multiple missiles cooperatively intercepting a maneuvering target, fixed-time cooperative guidance law is proposed with impact angle constraints. First, fixed-time consensus, integral sliding mode technique, and adaptive super-twisting algorithm are implemented to construct cooperative guidance law along the line-of-sigh...

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... Fixed-time guidance laws [14,[19][20][21][22][23][24][25][26], which are evolved from finite-time algorithms [15-18, 27, 28], do not depend on the initial states and have better convergent characteristics, so these schemes have further been studied. With time-delay input [20], adaptive cooperative guidance law is proposed to guarantee that the consensus errors converge to the equilibrium point in fixed-time interval. ...
... Under constraints of topology switching failure, input amplitude, impact time, and angle [23], fast fixed-time NTSM is developed to design adaptive cooperative guidance laws along and perpendicular to LOS directions. Adaptive supertwisting consensus is developed to ensure that time-to-go variables are steered to the equilibrium point [24], while the expected angle constraint is achieved by NTSM and disturbance observer. One method similar to literature [29] is implemented to construct two-order cooperative control law, and then, guidance laws are developed to guarantee fixed-time stabilization of LOS angles in the elevation and azimuth [25]. ...
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The problem of cooperative interception of the manoeuvring target is investigated in this paper. Firstly, in light of fast fixed-time consensus theory, time-to-go, and undirected topologies, adaptive cooperative guidance along the line-of-sight (LOS) direction is proposed to guarantee impact time synchronization. Next, novel nonsingular terminal sliding mode (NTSM) is designed to establish adaptive fixed-time guidance law for steering LOS angular rates to the origin or its small neighbourhood. Without the knowledge of target manoeuvre, the proposed cooperative guidance law can be provided by lateral and longitudinal accelerations of each missile, while more reasonable and rigorous analysis of fixed-time stability is carried out through the Lyapunov theory. Within the specified time, both control tasks of simultaneous attack and the desired impact angles can be completed before the final time of the guidance process. Finally, numerical simulations demonstrate the feasibility and effectiveness of the proposed scheme.