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Journal ArticleDOI

Cooperative guidance law based on time-varying terminal sliding mode for maneuvering target with unknown uncertainty in simultaneous attack

01 Nov 2020-Journal of The Franklin Institute-engineering and Applied Mathematics (Pergamon)-Vol. 357, Iss: 16, pp 11914-11938
TL;DR: A new guidance law based on time-varying terminal sliding mode to make multi-agent intercept maneuvering target simultaneously and is designed for multi-attackers with different interaction topology, which is suitable for the long distance information communication.
Abstract: In this paper, a new guidance law based on time-varying terminal sliding mode is proposed to make multi-agent intercept maneuvering target simultaneously. The new approach can make more benefits as follows: (1). Distributed cooperation protocol with accurate time-to-go ensures the simultaneous attack task can be solved within finite time. (2). The disturbance observer and the composite cooperative guidance law can settle the coordinated attack problem with target acceleration unknown (that is in accordance with the unknown uncertainty upper bound). (3). The improved terminal sliding mode can maintain the continuity and stability of flight control, and it can eliminate singularity and chattering of sliding mode to some extent. (4). New guidance law is designed for multi-attackers with different interaction topology, which is suitable for the long distance information communication. By comparison, numerical simulations verify the validity and superiority of the proposed method.
Citations
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Journal ArticleDOI
TL;DR: A three-dimensional robust nonlinear cooperative guidance law for multiple missiles to simultaneously attack a maneuvering target at desired impact angles is proposed and the fixed-time stability is proved through the Lyapunov theory and bi-homogenous property.

53 citations

Journal ArticleDOI
TL;DR: In this article , a fixed-time cooperative guidance law for multiple missiles to simultaneously attack a maneuvering target at desired terminal angles is designed for multiple-missile-assisted interception.
Abstract: In this article, fixed-time cooperative guidance laws are designed for multiple missiles to simultaneously attack a maneuvering target at desired terminal angles. The 3-D guidance commands consist of tangential acceleration along line-of-sight (LOS) direction to achieve a salvo attack and normal acceleration perpendicular to the LOS direction to realize a terminal angle-constrained interception. First, the tangential acceleration is derived from a distributed cooperative protocol to guarantee the fixed-time consensus of impact times for multiple missiles. Second, based on the integral sliding manifold and fixed-time reaching law, the normal acceleration is developed for each missile to converge the LOS angle to the desired value within a fixed time. In particular, the unknown target acceleration components are estimated by fixed-time observers and compensated in the guidance commands. The fixed-time stability of the proposed cooperative guidance law is rigorously proved and the explicit estimate for the convergence time is theoretically provided. Then, the proposed methods are utilized to realize the cooperative mission in the planar guidance scenario. Finally, the effectiveness and advantages of the proposed cooperative guidance laws are demonstrated through numerical simulations with comparative studies.

10 citations

Journal ArticleDOI
TL;DR: In this article, a fixed-time convergent guidance law is presented for the leader to achieve appointed impact time and collision avoidance for leader-following flight vehicles, which consist of one leader with the target seeker and the other seeker-less followers.
Abstract: The problem of cooperative guidance is considered with appointed impact time and collision avoidance for the leader-following flight vehicles, which consist of one leader with the target seeker and the other seeker-less followers. A fixed-time convergent guidance law is presented for the leader to achieve appointed impact time. To guarantee the simultaneous arrival of all the flight vehicles, a cooperative guidance law is proposed to make the follower-leader ranges keep proportional consensus with the range-to-go of leader. A distributed observer is put forward for the followers to estimate the range-to-go of leader. Moreover, the collision avoidance can be reliably fulfilled by the collaborative action of the direction-based and distance-based means.

9 citations

Journal ArticleDOI
TL;DR: In this article , a task coupling based layered cooperative guidance structure is constructed by the leader layer and the follower layer to deal with cooperative guidance problems with multiple task requirements, and the design process and stability analysis of the closed-loop system are given.

3 citations

Journal ArticleDOI
TL;DR: In this paper, a 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.
Abstract: 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.

2 citations

References
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Journal ArticleDOI
TL;DR: A distinctive feature of this work is to address consensus problems for networks with directed information flow by establishing a direct connection between the algebraic connectivity of the network and the performance of a linear consensus protocol.
Abstract: In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three cases: 1) directed networks with fixed topology; 2) directed networks with switching topology; and 3) undirected networks with communication time-delays and fixed topology. We introduce two consensus protocols for networks with and without time-delays and provide a convergence analysis in all three cases. We establish a direct connection between the algebraic connectivity (or Fiedler eigenvalue) of the network and the performance (or negotiation speed) of a linear consensus protocol. This required the generalization of the notion of algebraic connectivity of undirected graphs to digraphs. It turns out that balanced digraphs play a key role in addressing average-consensus problems. We introduce disagreement functions for convergence analysis of consensus protocols. A disagreement function is a Lyapunov function for the disagreement network dynamics. We proposed a simple disagreement function that is a common Lyapunov function for the disagreement dynamics of a directed network with switching topology. A distinctive feature of this work is to address consensus problems for networks with directed information flow. We provide analytical tools that rely on algebraic graph theory, matrix theory, and control theory. Simulations are provided that demonstrate the effectiveness of our theoretical results.

11,658 citations

Journal ArticleDOI
Arie Levant1
TL;DR: In this article, the authors proposed arbitrary-order robust exact differentiators with finite-time convergence, which can be used to keep accurate a given constraint and feature theoretically-infinite-frequency switching.
Abstract: Being a motion on a discontinuity set of a dynamic system, sliding mode is used to keep accurately a given constraint and features theoretically-infinite-frequency switching. Standard sliding modes provide for finite-time convergence, precise keeping of the constraint and robustness with respect to internal and external disturbances. Yet the relative degree of the constraint has to be 1 and a dangerous chattering effect is possible. Higher-order sliding modes preserve or generalize the main properties of the standard sliding mode and remove the above restrictions. r-Sliding mode realization provides for up to the rth order of sliding precision with respect to the sampling interval compared with the first order of the standard sliding mode. Such controllers require higher-order real-time derivatives of the outputs to be available. The lacking information is achieved by means of proposed arbitrary-order robust exact differentiators with finite-time convergence. These differentiators feature optimal asymptot...

2,954 citations

Journal ArticleDOI
08 Jul 2003
TL;DR: A continuous finite-time control scheme for rigid robotic manipulators is proposed using a new form of terminal sliding modes using the Lyapunov stability theory, and theoretical analysis and simulation results show that faster and high-precision tracking performance is obtained.
Abstract: A continuous finite-time control scheme for rigid robotic manipulators is proposed using a new form of terminal sliding modes. The robustness of the controller is established using the Lyapunov stability theory. Theoretical analysis and simulation results show that faster and high-precision tracking performance is obtained compared with the conventional continuous sliding mode control method.

2,040 citations

Journal ArticleDOI
TL;DR: This paper presents a global non-singular terminal sliding mode controller for rigid manipulators to enable the elimination of the singularity problem associated with conventional terminal slide mode control.

1,826 citations

Journal ArticleDOI
TL;DR: In this article, the authors studied the finite-time consensus tracking control for multi-robot systems with input disturbances on the terminal sliding-mode surface and showed that the proposed error function can be modified to achieve relative state deviation between agents.
Abstract: This paper studies the finite-time consensus tracking control for multirobot systems. We prove that finite-time consensus tracking of multiagent systems can be achieved on the terminal sliding-mode surface. Also, we show that the proposed error function can be modified to achieve relative state deviation between agents. These results are then applied to the finite-time consensus tracking control of multirobot systems with input disturbances. Simulation results are presented to validate the analysis.

763 citations