Adaptive immersion and invariance sliding mode control for hypersonic vehicles with parametric uncertainty

In this paper, a multi-input/multi-output (MIMO) adaptive sliding mode control system based on immersion and invariance (I&I) methodology is developed and analyzed for the longitudinal dynamics of a flexible air-breathing hypersonic vehicle whose model is multivariable, nonlinear, and includes parameter uncertainty. Sliding mode controllers combined with on-line parameter estimators based on adaptive I&I theory are synthesized to suppress the significant aerodynamic parameter uncertainties. The stability of the closed-loop control system is proved by the Lyapunov stability theory. Simulation experiments are conducted to evaluate the robustness of the controller system with respect to parametric uncertainty, which meanwhile show the effectiveness and high performance of the controller system in terms of aggressive maneuvering control inputs.

[1]  Liu Zhen,et al.  Nonlinear adaptive control for hypersonic vehicles via immersion and invariance , 2013, Proceedings of the 32nd Chinese Control Conference.

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

[3]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

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

[5]  W. Marsden.  I and J , 2012 .

[6]  Zhen Liu,et al.  Adaptive trajectory tracking control system design for hypersonic vehicles with parametric uncertainty , 2015 .

[7]  Alessandro Astolfi,et al.  Immersion and invariance: a new tool for stabilization and adaptive control of nonlinear systems , 2001, IEEE Trans. Autom. Control..

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

[9]  Michael A. Bolender,et al.  An overview on dynamics and controls modelling of hypersonic vehicles , 2009, 2009 American Control Conference.

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

[11]  R. Cummings,et al.  Fifty years of hypersonics: where we've been, where we're going , 2003 .

[12]  Petros A. Ioannou,et al.  Adaptive Sliding Mode Control Design fo ra Hypersonic Flight Vehicle , 2004 .

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

[14]  Alberto Isidori,et al.  Nonlinear control systems: an introduction (2nd ed.) , 1989 .

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