A novel approximate finite-time convergent guidance law with actuator fault

In this paper, a novel approximate finite-time convergent guidance law for missiles is presented to accurately intercept maneuvering targets when the actuators cannot perform as well as usual. First, the governing equations are proposed according to the relationship between missile and target at engagement phase, and a typical nonlinear mathematic model of actuator efficiency is built. Then, an adaptive multiple-input-multiple-output guidance law based on super-twisting algorithm is proposed to drive the line-of-sight angular rate to converge in a small region around zero in finite time. According to the proposed adaptive law, the information about maneuverability of target is not necessary, and the parameter drift problem is also addressed by dead-time control technique. Moreover, the proposed formulation is validated by means of the detailed stability analysis with strict Lyapunov function and simulation results.

[1]  Ji Haibo,et al.  Guidance Laws With Input Constraints and Actuator Failures , 2016 .

[2]  Yuri B. Shtessel,et al.  A novel adaptive-gain supertwisting sliding mode controller: Methodology and application , 2012, Autom..

[3]  G.M. Siouris,et al.  Guided weapon control systems , 1983, Proceedings of the IEEE.

[4]  Li-Jun Liu,et al.  Three-Dimension $H_\infty$ Guidance Law and Capture Region Analysis , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[5]  Zhen Chen,et al.  On adaptive sliding mode control without switching gain overestimation , 2014 .

[6]  Stephen A. Murtaugh,et al.  Fundamentals of proportional navigation , 1966, IEEE Spectrum.

[7]  Paul Zarchan,et al.  A New Look at Classical vs Modern Homing Missile Guidance , 1981 .

[8]  Youdan Kim,et al.  Design of Missile Guidance Law via Variable Structure Control , 2000 .

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

[10]  Sanjay E. Talole,et al.  Sliding Mode and Inertial Delay Control Based Missile Guidance , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[11]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[12]  R. Longchamp,et al.  Application of sliding-mode control to air-air interception problem , 1990 .

[13]  Shaoming He,et al.  Continuous Robust Guidance Law for Intercepting Maneuvering Targets , 2015 .

[14]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[15]  Christopher Edwards,et al.  A multivariable super-twisting sliding mode approach , 2014, Autom..

[16]  K. Teo,et al.  Guidance Laws with Finite Time Convergence , 2009 .

[17]  Di Zhou,et al.  Adaptive Sliding-Mode Guidance of a Homing Missile , 1999 .

[18]  Paul Zarchan,et al.  A new look at classical versus modern homing missile guidance , 1979 .

[19]  Agus Budiyono,et al.  Proportional Guidance and CDM Control Synthesis for a Short-Range Homing Surface-to-Air Missile , 2012 .

[20]  Arie Levant,et al.  Principles of 2-sliding mode design , 2007, Autom..

[21]  I. G. Sarma,et al.  Switched bias proportional navigation for homing guidance against highly maneuvering targets , 1994 .

[22]  Hsin-Yuan Chen,et al.  Three‐dimensional nonlinear H∞ guidance law , 2001 .

[23]  Leonid M. Fridman,et al.  Variable Gain Super-Twisting Sliding Mode Control , 2012, IEEE Transactions on Automatic Control.

[24]  Paul Zarchan,et al.  Tactical and strategic missile guidance , 1990 .

[25]  Vadim I. Utkin,et al.  Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method , 2013, Autom..

[26]  Dong Xu,et al.  Missile Guidance Law Based on Extended State Observer , 2013, IEEE Transactions on Industrial Electronics.

[27]  Yuanqing Xia,et al.  Fault tolerant control for missile guidance laws with finite-time convergence , 2011, 2011 Chinese Control and Decision Conference (CCDC).

[28]  Zhenxing Zhang,et al.  Terminal guidance laws of missile based on ISMC and NDOB with impact angle constraint , 2013 .

[29]  Yuri B. Shtessel,et al.  Smooth second-order sliding modes: Missile guidance application , 2007, Autom..

[30]  Ciann-Dong Yang,et al.  Nonlinear H∞ Robust Guidance Law for Homing Missiles , 1998 .

[31]  Yew-Wen Liang,et al.  Study of Reliable Control Via an Integral-Type Sliding Mode Control Scheme , 2012, IEEE Transactions on Industrial Electronics.

[32]  Haibo Ji,et al.  Guidance Laws Based on Input-to-State Stability and High-Gain Observers , 2012, IEEE Transactions on Aerospace and Electronic Systems.