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ZhiKai Wang,ZhuMu Fu,ZiHao Wu,ChenQi Zhu,JiaCheng Li 한국항공우주학회 2024 International Journal of Aeronautical and Space Sc Vol.25 No.2
This paper presents a novel three-dimensional time-space cooperative guidance law against maneuvering target despite the presence of time-varying communication delays between missiles. The guidance law is divided into two parts. In the first part, a consensus protocol is designed for a multi-agent system consisting of a virtual leader and multiple followers. The objective is to tackle the problem of consensus convergence among the agents with communication delays. Additionally, the relationship between the upper bound of delays and the controller parameters is established. Based on the consensus protocol and a prescribed-time slide mode control method, the guidance law in the line-of-sight (LOS) direction is designed to ensure that the missiles attack the target simultaneously. In the second part, the multi-missile surrounding attack is achieved by designing different desired LOS azimuth and elevation angles for each missile. A guidance law in the normal LOS direction is designed based on the prescribed-time slide mode control method to ensure that the LOS angle converges to the desired values. To estimate the disturbances caused by the unknown and unpredictable acceleration of the maneuvering target in the LOS and normal LOS directions, fixed-time disturbance observers are designed. The stability analysis of the cooperative guidance law is provided in the appendix section. To demonstrate the effectiveness and superiority of the proposed cooperative guidance law, comparative simulations are performed.
Leipo Liu,Xiangyang Cao,Zhumu Fu,Shuzhong Song,Hao Xing 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.2
This paper is concerned with the input-output finite-time control of uncertain positive impulsive switched systems(UPISS) with time-varying and distributed delays. Firstly, the definition of input-output finite-time stability is extended to UPISS, and the proof of the positivity of UPISS is also given. Then, by constructing multiple linear copositive Lyapunov functions and using the mode-dependent average dwell time(MDADT) approach, a state feedback controller is designed, and sufficient conditions are derived to guarantee that the corresponding closedloop system is input-output finite-time stable(IO-FTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to demonstrate the effectiveness of the proposed method.
Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems
Leipo Liu,Hao Xing,Yifan Di,Zhumu Fu,Shuzhong Song 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.7
This paper considers asynchronously input-output finite-time control of positive impulsive switched systems(PISS). Firstly, the definition of input-output finite-time stability(IO-FTS) is introduced. By using the Lyapunov functional and average dwell time(ADT) approach, a state feedback controller is designed and new sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS under asynchronous switching. Such conditions can be solved by linear programming. Finally, a practical example is provided to show the effectiveness of the proposed method.