Fixed-Time Convergent Guidance Law with Impact Angle Control

The existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. A fixed-time convergent guidance law with impact angle control is proposed in this paper. The proposed guidance law consists of two parts. One is the heading error angle shaping term, and the other is the bias term to achieve the desired impact angle. The guidance command is continuous during the engagement without utilizing the switching logics. Unlike the existing guidance law in the literature, the fixed-time stability theory is utilized to ensure the impact angle error to converge to zero before the interception. Furthermore, the convergence rate is merely related to control parameters. Simulations are carried out to illustrate the effectiveness of the proposed guidance law.

[1]  Jie Li,et al.  Terminal Guidance Law for UAV Based on Receding Horizon Control Strategy , 2017, Complex..

[2]  Lu Liu,et al.  Extended-State-Observer-Based Collision-Free Guidance Law for Target Tracking of Autonomous Surface Vehicles with Unknown Target Dynamics , 2018, Complex..

[3]  Min-Jea Tahk,et al.  Optimal Guidance Laws with Terminal Impact Angle Constraint , 2005 .

[4]  Min-Jea Tahk,et al.  Augmented Polynomial Guidance With Impact Time and Angle Constraints , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[5]  Ashwini Ratnoo,et al.  Analysis of Two-Stage Proportional Navigation with Heading Constraints , 2016 .

[6]  Jiang Wang,et al.  Continuous second-order sliding mode based impact angle guidance law , 2015 .

[7]  Chang-Hun Lee,et al.  Polynomial Guidance Laws Considering Terminal Impact Angle and Acceleration Constraints , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Min-Jea Tahk,et al.  Time-to-go weighted optimal guidance with impact angle constraints , 2006, IEEE Transactions on Control Systems Technology.

[9]  Yepeng Han,et al.  Fifth-Degree Cubature Kalman Filter Estimation of Seeker Line-of-Sight Rate Using Augmented-Dimensional Model , 2017 .

[10]  David B. Doman,et al.  Adaptive Terminal Guidance for Hypervelocity Impact in Specified Direction , 2005 .

[11]  Youdan Kim,et al.  Lyapunov-Based Pursuit Guidance Law with Impact Angle Constraint , 2014 .

[12]  M. Kim,et al.  Terminal Guidance for Impact Attitude Angle Constrained Flight Trajectories , 1973, IEEE Transactions on Aerospace and Electronic Systems.

[13]  Jian Huang,et al.  Terminal Impact Angle Constraint Guidance With Dual Sliding Surfaces and Model-Free Target Acceleration Estimator , 2017, IEEE Transactions on Control Systems Technology.

[14]  Zengqiang Chen,et al.  Finite-time convergent guidance law with impact angle constraint based on sliding-mode control , 2012 .

[15]  Andrey Polyakov,et al.  Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems , 2012, IEEE Transactions on Automatic Control.

[16]  Yongji Wang,et al.  Integrated Estimation/Guidance Law against Exoatmospheric Maneuvering Targets , 2018, Complex..

[17]  Jianying Yang,et al.  Guidance Law Design for Impact Time Attack Against Moving Targets , 2018, IEEE Transactions on Aerospace and Electronic Systems.

[18]  Yongji Wang,et al.  Lyapunov-based switched-gain impact angle control guidance , 2018 .

[19]  Tal Shima,et al.  Optimal Guidance Around Circular Trajectories for Impact-Angle Interception , 2016 .

[20]  Lei Liu,et al.  Adaptive Polynomial Guidance With Impact Angle Constraint Under Varying Velocity , 2019, IEEE Access.

[21]  Min-Jea Tahk,et al.  Guidance Law for Vision-Based Automatic Landing of UAV , 2007 .

[22]  Debasish Ghose,et al.  Impact Angle Constrained Interception of Stationary Targets , 2008 .