Sliding Mode Guidance Law for Delayed LOS Rate Measurement

Considering the setting of classical proportional navigation that relies solely on line-ofsight measurements, this paper presents a sliding mode guidance law for the planar homing problem subjected to pure measurement delay. The proposed guidance law is formulated after a previous modified PNG law by replacing the LOS rate u � with the switching control sign( u �). A simple LOS rate estimator is introduced. Moreover, a closed-loop filtering architecture is employed to remove chattering. This simulation-based study shows that the proposed guidance law is able to outperform PNG laws in the presence of delay.

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

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

[3]  Josef Shinar,et al.  New Interceptor Guidance Law Integrating Time-Varying and Estimation-Delay Models , 2001 .

[4]  Paul Zarchan.  Complete Statistical Analysis of Nonlinear Missile Guidance Systems - SLAM , 1979 .

[5]  Yuri B. Shtessel,et al.  Continuous sliding mode control , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[6]  Qiang Ling,et al.  Optimal sliding-mode guidance of a homing-missile , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[7]  E. J. Holder,et al.  An analysis of modern versus classical homing guidance , 1990 .

[8]  Hari B. Hablani,et al.  Endgame Guidance and Relative Navigation of Strategic Interceptors with Delays , 2006 .

[9]  Moshe Idan,et al.  Sliding-Mode Control for Integrated Missile Autopilot Guidance , 2004 .

[10]  In-Joong Ha,et al.  Performance analysis of PNG laws for randomly maneuvering targets , 1990 .

[11]  Kai-Yew Lum.  Infinite-Dimensional Linearization and Extended Adjoint Method for Nonlinear Homing Loop Analysis , 2003 .

[12]  Ya-Jun Pan,et al.  Sliding mode control with closed-loop filtering architecture for a class of nonlinear systems , 2004, IEEE Trans. Circuits Syst. II Express Briefs.

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

[14]  K. Becker.  Closed-form solution of pure proportional navigation , 1990 .

[15]  Kai-Yew Lum,et al.  Analysis of PNG Laws with LOS Angular Rate Delay , 2007 .

[16]  F. B. Hildebrand,et al.  Introduction To Numerical Analysis , 1957 .

[17]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[18]  Chi-Ching Yang,et al.  Analytical solution of 3D true proportional navigation , 1996 .