Approach and landing guidance based on sliding mode control and input-to-state stability

This paper presents a new guidance law based on sliding-mode control and input-to-state stability (ISS) for approach and landing of a reusable launch vehicle (RLV). According to the idea of reference-trajectory guidance, the sliding mode surface is chosen to be a linear combination of the reference-trajectory tracking error and its rate, and a guidance law is designed to make the dynamics of the sliding mode surface be ISS with respect to bounded uncertainties. Then, by introducing class KL-like function, it is proved that the influence of uncertainties on reference-trajectory tracking error can be close to zero by adjusting the guidance parameters. The numerical simulation confirms the effectiveness of the proposed design approach.

[1]  S. N. Balakrishnan,et al.  Optimal Online Path Planning for Approach and Landing Guidance , 2011 .

[2]  David B. Doman,et al.  Integrated Adaptive Guidance and Control for Re-Entry Vehicles with Flight-Test Results , 2004 .

[3]  Steven G. Tragesser,et al.  Autolanding Trajectory Design for the X-34 , 1999 .

[4]  John D. Schierman,et al.  On-Line Trajectory Command Reshaping for Reusable Launch Vehicles , 2003 .

[5]  G. M. Tsikalas Space Shuttle autoland design , 1982 .

[6]  Raúl Ordóñez,et al.  On-line robust trajectory generation on approach and landing for reusable launch vehicles , 2009, Autom..

[7]  Han Yan,et al.  Drag-Tracking Guidance for Entry Vehicles Without Drag Rate Measurement , 2014, ArXiv.

[8]  Jie Wang,et al.  Nonlinear robust control for reusable launch vehicles in reentry phase based on time-varying high order sliding mode , 2013, J. Frankl. Inst..

[9]  Haibo Ji,et al.  Integrated guidance and control for dual-control missiles based on small-gain theorem , 2012, Autom..

[10]  Q. Zong,et al.  Optimal guidance for reentry vehicles based on indirect Legendre pseudospectral method , 2011 .

[11]  Fang Wang,et al.  Quasi-continuous high-order sliding mode controller design for reusable launch vehicles in reentry phase , 2013 .

[12]  S. N. Balakrishnan,et al.  Reentry Terminal Guidance Through Sliding Mode Control , 2010 .

[13]  Christina T. Chomel Design of a robust integrated guidance and control algorithm for the landing of an autonomous reusable launch vehicle , 1998 .