Nonlinear robust control for reusable launch vehicles in reentry phase based on time-varying high order sliding mode

Abstract This paper describes the design of nonlinear robust controller for reusable launch vehicles which is nonlinear, multivariable, strong coupling, and includes uncertain parameters. Firstly, the feasible guidance strategy is proposed to obtain the desired guidance commands. Then, the time-varying sliding mode manifold is designed through calculating a series of algebraic equations with fixed final states to make the system trajectories start on the manifold at the initial time. The global robustness is ensured via designing high order sliding mode attitude controller which forces the system trajectory to stay on the sliding mode manifold despite the model parameter uncertainties and external disturbances. Furthermore, in order to reduce control saltation, the virtual control is introduced into the control strategy. Finally, the six degree of freedom flight simulation results are provided to demonstrate the effectiveness of the integrated guidance and control strategy in tracking the guidance commands as well as achieving safe and stable reentry flight.

[1]  Qun Zong,et al.  Ascent Phase Trajectory Optimization for Vehicle with Restricted Space , 2011 .

[2]  Anil V. Rao,et al.  Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method , 2006 .

[3]  Fariba Fahroo,et al.  Optimal feedback control laws by Legendre pseudospectral approximations , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[4]  Arie Levant,et al.  Quasi-continuous high-order sliding-mode controllers , 2005, IEEE Transactions on Automatic Control.

[5]  Giorgio Bartolini,et al.  2-Sliding Mode with Adaptation * , 1999 .

[6]  Daigoro Ito,et al.  AIAA 2001-4380 Robust Dynamic Inversion Controller Design and Analysis for the X-38 , 2001 .

[7]  Arie Levant,et al.  Integral High-Order Sliding Modes , 2007, IEEE Transactions on Automatic Control.

[8]  I. Introduction,et al.  Robustness Evaluation of Theta-D Technique for Spacecraft Attitude Control Subject to Reaction Wheel Failures , 2010 .

[9]  William Leithead,et al.  Survey of gain-scheduling analysis and design , 2000 .

[10]  Quang M. Lam,et al.  Enhancing Flight Control System performance using SDRE based controller as an augmentation layer , 2009 .

[11]  J. A. Mulder,et al.  Robust Model Predictive Control of a Feedback Linearized System for a Lifting-body Re-entry Vehicle , 2005 .

[12]  Alfonso Damiano,et al.  Second-order sliding-mode control of DC drives , 2004, IEEE Transactions on Industrial Electronics.

[13]  Yuri B. Shtessel,et al.  Continuous Traditional and High-Order Sliding Modes for Satellite Formation Control , 2005 .

[14]  John D. Schierman,et al.  In-Flight Entry Trajectory Optimization for Reusable Launch Vehicles , 2005 .

[15]  Yuri B. Shtessel,et al.  Launch vehicle attitude control using sliding mode control and observation techniques , 2012, J. Frankl. Inst..

[16]  Yuri B. Shtessel,et al.  Reusable Launch Vehicle Attitude Control Using Time-Varying Sliding Modes , 2002 .

[17]  Y. B. Shtessel,et al.  Multiple time scale sliding mode control of reusable launch vehicles in ascent and descent modes , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[18]  John Valasek,et al.  Evaluation of Longitudinal Desired Dynamics for Dynamic-Inversion Controlled Generic Reentry Vehicles , 2003 .

[19]  Franck Plestan,et al.  Higher order sliding mode control based on integral sliding mode , 2007, Autom..

[20]  Ming Xin,et al.  New Nonlinear Control Technique for Ascent Phase of Reusable Launch Vehicles , 2004 .

[21]  J. Jim Zhu,et al.  X-33 Ascent Flight Controller Design by Trajectory Linearization: A Singular Perturbational Approach , 2000 .

[22]  Tzu-Chun Kuo,et al.  Adaptive Sliding-Mode Control for NonlinearSystems With Uncertain Parameters , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  Yunjun Xu,et al.  Nonlinear Stochastic Control Part II: Ascent Phase Control of Reusable Launch Vehicles , 2009 .

[24]  J.J. Zhu,et al.  Well-defined series and parallel D-spectra for linear time-varying systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[25]  Ming Xin,et al.  State dependent Riccati equation based spacecraft attitude control , 2002 .

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

[27]  Eric N. Johnson,et al.  Limited authority adaptive flight control for reusable launch vehicles , 2003 .

[28]  Michael Defoort,et al.  A novel higher order sliding mode control scheme , 2009, Syst. Control. Lett..

[29]  Franck Plestan,et al.  A new algorithm for high‐order sliding mode control , 2008 .

[30]  Ming Xin,et al.  Preserving Spacecraft Attitude Control Accuracy Using -D Controller Subject to Reaction Wheel Failures , 2010 .

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

[32]  Chen Zhen,et al.  Exponential Time-varying Sliding Mode Control for Large Angle Attitude Eigenaxis Maneuver of Rigid Spacecraft , 2010 .

[33]  Yuri B. Shtessel,et al.  Sliding Mode Disturbance Observer-Based Control for a Reusable Launch Vehicle , 2005 .

[34]  Giorgio Bartolini,et al.  A survey of applications of second-order sliding mode control to mechanical systems , 2003 .

[35]  Yuri B. Shtessel,et al.  Reusable Launch Vehicle Control in Multiple Time Scale Sliding Modes , 2000 .

[36]  Yuri B. Shtessel,et al.  Sliding Mode Control of the X-33 With an Engine Failure , 2000 .

[37]  N. Vinh,et al.  Hypersonic and Planetary Entry Flight Mechanics , 1980 .

[38]  Arie Levant,et al.  Homogeneity approach to high-order sliding mode design , 2005, Autom..

[39]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[40]  Robert E. Jones,et al.  Test Results for Entry Guidance Methods for Space Vehicles , 2004 .

[41]  Arie Levant,et al.  Generalized homogeneous quasi‐continuous controllers , 2008 .

[42]  David Cooper,et al.  Improved Trajectory Linearization Flight Controller for Reusable Launch Vehicles , 2004 .