Nonlinear Robust Adaptive Deterministic Control for Flexible Hypersonic Vehicles in the Presence of Input Constraint

A nonlinear deterministic robust control scheme is developed for a flexible hypersonic vehicle with input saturation. Firstly, the model analysis is conducted for the hypersonic vehicle model via the input-output linearized technique. Secondly, the sliding mode manifold is designed based on homogeneity theory. Then an adaptive high order sliding mode control scheme is proposed to achieve tracking for the step change in altitude and velocity for hypersonic vehicles where the uncertainty boundary is unknown. Furthermore, the control input constraint is investigated and another new adaptive law is proposed to estimate the uncertainties and to guarantee the stability of the system with input saturation. Finally, the simulation results are provided to demonstrate the effectiveness of the proposed method.

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

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

[3]  Ian R. Petersen,et al.  Uncertainty Modeling and Robust Minimax LQR Control of Hypersonic Flight Vehicles , 2010 .

[4]  Michael A. Bolender,et al.  An Aerothermal Flexible Mode Analysis of a Hypersonic Vehicle (Postprint) , 2006 .

[5]  Michael A. Bolender,et al.  Tracking Control for an Overactuated Hypersonic Air-Breathing Vehicle with Steady State Constraints (PREPRINT) , 2006 .

[6]  Li Pei,et al.  Progress in control approaches for hypersonic vehicle , 2012 .

[7]  David B. Doman,et al.  Robust Linear Output Feedback Control of an Airbreathing Hypersonic Vehicle , 2008 .

[8]  Andrea Serrani,et al.  Reference Command Tracking for a Linearized Model of an Air-breathing Hypersonic Vehicle , 2005 .

[9]  Hunter Douglas Hughes.  LPV Hinfinity Control for the Longitudinal Dynamics of a Flexible Air-Breathing Hypersonic Vehicle , 2010 .

[10]  Yew-Wen Liang,et al.  Robust guidance law via integral-sliding-mode scheme , 2014 .

[11]  D.B. Doman,et al.  Robust nonlinear sequential loop closure control design for an air-breathing hypersonic vehicle model , 2008, 2008 American Control Conference.

[12]  Yang Tao,et al.  Quasi-continuous high-order sliding mode controller and observer design for flexible hypersonic vehicle☆ , 2013 .

[13]  Qinglei Hu,et al.  Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis-stabilized flexible spacecraft with actuator saturation limits , 2009 .

[14]  Lisa Fiorentini,et al.  Nonlinear Adaptive Controller Design For Air-breathing Hypersonic Vehicles , 2010 .

[15]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[16]  M. P. Aghababa,et al.  A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs , 2012 .

[17]  Yonggang Chen,et al.  Stabilization of impulsive switched linear systems with saturated control input , 2012 .

[18]  Andrea Serrani,et al.  Adaptive restricted trajectory tracking for a non-minimum phase hypersonic vehicle model , 2012, Autom..

[19]  A. Serrani,et al.  Nonlinear Robust Adaptive Control of Flexible Air-Breathing Hypersonic Vehicles , 2009 .

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

[21]  Yousef Farid,et al.  Robust adaptive intelligent sliding model control for a class of uncertain chaotic systems with unknown time-delay , 2012 .

[22]  Michael A. Bolender,et al.  Flight Path Angle Dynamics of Air-breathing Hypersonic Vehicles , 2006 .

[23]  David B. Doman,et al.  Nonlinear Longitudinal Dynamical Model of an Air-Breathing Hypersonic Vehicle , 2007 .

[24]  Andrea Serrani,et al.  Development of Linear Parameter-Varying Models of Hypersonic Air-Breathing Vehicles , 2009 .

[25]  A. Levant.  Robust exact differentiation via sliding mode technique , 1998 .

[26]  Huijun Gao,et al.  Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle , 2012, J. Frankl. Inst..

[27]  Yongji Wang,et al.  Robust Fault‐Tolerant Control of Launch Vehicle Via GPI Observer and Integral Sliding Mode Control , 2013 .

[28]  Warren E. Dixon,et al.  Lyapunov-Based Exponential Tracking Control of a Hypersonic Aircraft with Aerothermoelastic Effects , 2010 .

[29]  David B. Doman,et al.  Control-Oriented Modeling of an Air-Breathing Hypersonic Vehicle , 2007 .

[30]  Michael A. Bolender,et al.  NONLINEAR ROBUST/ADAPTIVE CONTROLLER DESIGN FOR AN AIR- BREATHING HYPERSONIC VEHICLE MODEL (PREPRINT) , 2007 .

[31]  Adaptive dynamic surface control of a hypersonic flight vehicle with improved tracking , 2013 .

[32]  David B. Doman,et al.  Anti-Windup Control for an Air-Breathing Hypersonic Vehicle Model , 2006 .