Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

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.

[1]  Nathan Harl,et al.  Impact Time and Angle Guidance With Sliding Mode Control , 2009, IEEE Transactions on Control Systems Technology.

[2]  Jianjun Ma,et al.  Adaptive Fixed-Time Cooperative Intercept Guidance Law with Line-Of-Sight Angle Constraint , 2019, 2019 IEEE International Conference on Mechatronics and Automation (ICMA).

[3]  Alexander G. Loukianov,et al.  Predefined-time robust contour tracking of robotic manipulators , 2019, J. Frankl. Inst..

[4]  Zhou Rui,et al.  Cooperative Guidance for Multimissile Salvo Attack , 2008 .

[5]  Youan Zhang,et al.  Impact time control guidance law with field of view constraint , 2014 .

[6]  Jianying Yang,et al.  Distributed Guidance Law Design for Cooperative Simultaneous Attacks with Multiple Missiles , 2016 .

[7]  Youan Zhang,et al.  Impact time control guidance law with large impact angle constraint , 2015 .

[8]  Shen-Min Song,et al.  Three-dimensional cooperative guidance law for multiple missiles with finite-time convergence , 2017 .

[9]  Mou Chen,et al.  Fixed-Time Disturbance Observer Design for Brunovsky Systems , 2018, IEEE Transactions on Circuits and Systems II: Express Briefs.

[10]  Liang Zhang,et al.  Fixed-Time Cooperative Guidance Law With Angle Constraint for Multiple Missiles Against Maneuvering Target , 2020, IEEE Access.

[11]  Youdan Kim,et al.  Guidance Laws for Anti-Ship Missiles Using Impact Angle and Impact Time , 2006 .

[12]  Zhou Rui,et al.  Design of Time-constrained Guidance Laws via Virtual Leader Approach , 2010 .

[13]  Leonid M. Fridman,et al.  Stability notions and Lyapunov functions for sliding mode control systems , 2014, J. Frankl. Inst..

[14]  Chao Guo,et al.  Cooperative Guidance Law for Multiple Near Space Interceptors with Impact Time Control , 2014 .

[15]  Yue Miao,et al.  Attitude control of rigid spacecraft with predefined-time stability , 2020, J. Frankl. Inst..

[16]  Liang Zhang,et al.  Fixed-time sliding mode attitude tracking control for a submarine-launched missile with multiple disturbances , 2018 .

[17]  Alexander G. Loukianov,et al.  A Lyapunov-Like Characterization of Predefined-Time Stability , 2019, IEEE Transactions on Automatic Control.

[18]  Min-Jea Tahk,et al.  Impact-time-control guidance law for anti-ship missiles , 2006, IEEE Trans. Control. Syst. Technol..

[19]  Jinde Cao,et al.  Finite-time and fixed-time bipartite consensus of multi-agent systems under a unified discontinuous control protocol , 2017, J. Frankl. Inst..

[20]  Zongyu Zuo,et al.  Distributed robust finite-time nonlinear consensus protocols for multi-agent systems , 2016, Int. J. Syst. Sci..

[21]  Songyan Wang,et al.  Multiple missiles cooperative guidance based on leader-follower strategy , 2014, Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference.

[22]  Zhou Rui,et al.  Distributed three-dimensional cooperative guidance via receding horizon control , 2016 .

[23]  Zixuan Liang,et al.  Distributed cooperative guidance for multiple missiles with fixed and switching communication topologies , 2017 .

[24]  Yu Yao,et al.  Fault tolerance of cooperative interception using multiple flight vehicles , 2013, J. Frankl. Inst..

[25]  Zhongyuan Chen,et al.  Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint , 2021 .

[26]  Debasish Ghose,et al.  Sliding mode control based guidance law with impact time constraints , 2013, 2013 American Control Conference.

[27]  Min-Jea Tahk,et al.  Guidance law to control impact time and angle , 2005, 2005 International Conference on Control and Automation.

[28]  Debasish Ghose,et al.  Impact time guidance for large heading errors using sliding mode control , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[29]  Min-Jea Tahk,et al.  Nonsingular Sliding Mode Guidance for Impact Time Control , 2016 .

[30]  Wilfrid Perruquetti,et al.  Fixed-time observer with simple gains for uncertain systems , 2017, Autom..

[31]  Lei Wang,et al.  Finite-time consensus of multi-agent systems with continuous time-varying interaction topology , 2018, Neurocomputing.

[32]  Qing Wang,et al.  Finite-time cooperative guidance laws for multiple missiles with acceleration saturation constraints , 2015 .

[33]  Alexander G. Loukianov,et al.  On predefined-time consensus protocols for dynamic networks , 2020, J. Frankl. Inst..

[34]  Xiaofang Wang,et al.  Integrated guidance and control law for cooperative attack of multiple missiles , 2015 .

[35]  Naigang Cui,et al.  Ascent control of heavy-lift launch vehicle with guaranteed predefined performance , 2021 .

[36]  Jianan Wang,et al.  Three-Dimensional Fixed-Time Cooperative Guidance Law With Impact Angle Constraint and Prespecified Impact Time , 2021, IEEE Access.

[37]  Xiaomei Zhang,et al.  Quantized feedback control for time-delay systems via sliding mode observers , 2016, IMA J. Math. Control. Inf..