scholarly journals Distributed Analytical Formation Control and Cooperative Guidance for Gliding Vehicles

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Shengwei Jia ◽  
Xiao Wang ◽  
Fugui Li ◽  
Yulin Wang
Keyword(s):  
Formation Control ◽  
Quasi Equilibrium ◽  
Consensus Protocol ◽  
Control Phase ◽  
Numerical Iteration ◽  
Gliding Flight ◽  
Cooperative Guidance ◽  
Distributed Communication ◽  
Coordination Variable ◽  
Full Consideration

This paper addresses the analytical formation control and cooperative guidance problem for multiple hypersonic gliding vehicles under distributed communication. The gliding flight of the hypersonic gliding vehicle is divided into formation control phase and time coordination phase. In formation control phase, based on the idea of path tracking, the formation controller is designed using the second-order consensus protocol with normal positions as the coordination variables. In time coordination phase, based on the quasi-equilibrium gliding condition and the assumption of uniform deceleration motion, the analytical expression of time to go is derived. Then, the cooperative guidance method is developed using the first-order consensus protocol with time to go as the coordination variable. The proposed method takes full consideration of the characteristics of hypersonic gliding vehicle, such as complex nonlinear dynamics, no thrust, and quasi-equilibrium gliding condition, and no online numerical iteration is needed, which is well applicable for hypersonic gliding vehicles. Simulation results demonstrate the effectiveness of the formation control and cooperative guidance method.

Three-dimensional multiple unmanned aerial vehicles formation control strategy based on second-order consensus

2016 ◽  
Vol 232 (3) ◽  
pp. 481-491 ◽  
Author(s):  
Xu Zhu ◽  
Xun-Xun Zhang ◽  
Mao-De Yan ◽  
Yao-Hong Qu ◽  
Hai Lin
Keyword(s):  
Unmanned Aerial Vehicles ◽  
Cooperative Control ◽  
Formation Control ◽  
Three Dimensional ◽  
Second Order ◽  
Guidance Law ◽  
Aerial Vehicles ◽  
Cooperative Guidance ◽  
Consensus Strategy ◽  
Multiple Unmanned Aerial Vehicles

Considering three-dimensional formation control for multiple unmanned aerial vehicles, this paper proposes a second-order consensus strategy by utilizing the position and velocity coordinate variables. To maintain the specified geometric configuration, a cooperative guidance algorithm and a cooperative control algorithm are proposed together to manage the position and attitude, respectively. The cooperative guidance law, which is designed as a second-order consensus algorithm, provides the desired pitch rate, heading rate and acceleration. In addition, a synchronization technology is put forward to reduce the influence of the measurement errors for the cooperative guidance law. The cooperative control law, regarding the output of the cooperative guidance law as its input, is designed by deducing the state-space expression of both the longitudinal and lateral motions. The formation stability is analyzed to give a sufficient and necessary condition. Finally, the simulations for the three-dimensional formation control demonstrate the feasibility and effectiveness of the second-order consensus strategy.

The structure of a shock wave in a fully ionized gas

1957 ◽  
Vol 3 (3) ◽  
pp. 275-285 ◽  
Author(s):  
J. D. Jukes
Keyword(s):  
Shock Wave ◽  
Navier Stokes ◽  
Plane Shock ◽  
Quasi Equilibrium ◽  
Ionized Gas ◽  
Temperature Changes ◽  
Numerical Iteration ◽  
Different Temperatures ◽  
The Mean ◽  
Wide Zone

The structure of a plane shock wave moving through a completely ionized plasma of protons and electrons is calculated. It is assumed that the two species of particles behave as two gases, each separately in a quasi-equilibrium state corresponding generally to two different temperatures. Navier-Stokes type equations with coefficients of viscosity and thermal conductivity appropriate to the two species are solved by numerical iteration.For very strong shocks it is found that both the velocity of electrons and protons and the temperature of the protons change in a distance about twice the mean path for momentum transfer between protons in the hot (shocked) gas. The electron temperature changes in about eight of these mean free paths, causing a relatively wide zone of hot electrons at low density ahead of the usual velocity shock-front. The density and temperature gradients of protons and electrons create an electric field.

scholarly journals Formation Control of Second-Order Multiagent Systems with Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hong Xia ◽  
Ting-Zhu Huang ◽  
Jin-Liang Shao ◽  
Jun-Yan Yu
Keyword(s):  
Control Problem ◽  
Multiagent Systems ◽  
Formation Control ◽  
Second Order ◽  
Sufficient Condition ◽  
Time Varying ◽  
Consensus Protocol ◽  
Leader Following ◽  
Multiple Leaders ◽  
Theoretical Results

A formation control problem for second-order multiagent systems with time-varying delays is considered. First, a leader-following consensus protocol is proposed for theoretical preparation. With the help of Lyapunov-Krasovskii functional, a sufficient condition under this protocol is derived for stability of the multiagent systems. Then, the protocol is extended to the formation control based on a multiple leaders’ architecture. It is shown that the agents will attain the expected formation. Finally, some simulations are provided to demonstrate the effectiveness of our theoretical results.

scholarly journals A Three-Dimensional Cooperative Guidance Law of Multimissile System

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Xing Wei ◽  
Yongji Wang ◽  
Shuai Dong ◽  
Lei Liu
Keyword(s):  
Three Dimensional ◽  
Three Dimensions ◽  
Consensus Protocol ◽  
Proportional Navigation ◽  
Learning Machines ◽  
Guidance Law ◽  
Cooperative Guidance ◽  
Simulation Scenario ◽  
Static Target ◽  
Guidance Model

In order to conduct saturation attacks on a static target, the cooperative guidance problem of multimissile system is researched. A three-dimensional guidance model is built using vector calculation and the classic proportional navigation guidance (PNG) law is extended to three dimensions. Based on this guidance law, a distributed cooperative guidance strategy is proposed and a consensus protocol is designed to coordinate the time-to-go commands of all missiles. Then an expert system, which contains two extreme learning machines (ELM), is developed to regulate the local proportional coefficient of each missile according to the command. All missiles can arrive at the target simultaneously under the assumption that the multimissile network is connected. A simulation scenario is given to demonstrate the validity of the proposed method.

scholarly journals Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Liang Jing ◽  
Changzhu Wei ◽  
Liang Zhang ◽  
Naigang Cui
Keyword(s):  
Angular Rate ◽  
Fixed Time ◽  
Line Of Sight ◽  
Consensus Protocol ◽  
Impact Time ◽  
Maneuvering Target ◽  
Guidance Law ◽  
Cooperative Guidance ◽  
The Impact ◽  
Guidance Laws

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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