Three-dimensional cooperative interception guidance law with impact time constraint

Abstract

This article proposes a new terminal cooperative guidance law with impact time constraint in three-dimensional (3D) engagement. Two parts are comprised by this guidance scheme to control the impact time and fulfill the interception. The guidance law along the line-of-sight (LOS) direction is first designed based on finite time consensus protocol to share time-to-go values among missiles and reach the consensus. Meanwhile, the guidance law on the LOS normal direction is developed based on the fast finite time control method to achieve the interception. The stability analysis of the proposed guidance law based on the Lyapunov theory is also demonstrated in detail. Moreover, the maneuvering target can be intercepted successfully under the presented control algorithm, and the guidance system can fulfill stability within finite time. Additionally, the effectiveness and applicability of the proposed guidance scheme are explicitly verified through simulation tests.

Segmented guidance method for multi-UAVs cooperative attack with spatio-temporal constraints

“…Based on this proportional guidance method, the estimation of the time-to-go for UAV is given by 5 b t go ¼ RðtÞ V ðtÞ 1 þ σ 2 ðtÞ 2ð2N À 1Þ (7) where RðtÞ represents the distance between the current position and the target. The types of time coordination in the terminal guidance phase could be salvo attack at T c , that is, T go, i ¼ T c , i 2 ½1, n, or the impact time of each UAV can be set with a unique time delay ΔT i , that is, T go, i ¼ T c þ ΔT i , where T go, i is the given impact time of the i-th UAV.…”

“…Li proposed the three-dimensional cooperative interception guidance law with impact time constraint base on finite time consensus protocol to share time-to-go values. 7 Hou proposed a time-coordinated control law for swarm attack on ground-moving target based on linear quadratic optimal control theory. 8 A unified approach to cooperative guidance laws against stationary and maneuvering targets is presented by Zhao, 9 where the cooperative guidance law consists of a PN component and a coordination component.…”

Cooperative Target Capture using Predefined-time Consensus over Fixed and Switching Networks

“…Theorem 4. Consider the cooperative target engagement whose kinematics is governed by (1), the time-to-go expression, (30), and the error in the time of simultaneous interception, as given in (10). If the interceptors communicate over a switched dynamic network, G 𝜎 (𝑡) , the cooperative guidance command for the 𝑖 th interceptor,…”

“…Against stationary target, authors in [8] designed a consensus scheme of impact time by accounting for the communication noise over the multi-interceptor interaction network. Some studies have also extended the two-dimensional cooperative target capture paradigm for three-dimensional engagements [7,9,10,15,20,[29][30][31].…”