Application of LPV modeling, design and analysis methods to a re-entry vehicle

In this paper the application of linear parameter varying (LPV) modeling, design and analysis methods to a re-entry vehicle is presented. The selected atmospheric re-entry benchmark includes full nonlinear motion, a detailed aerodynamic database (from hypersonic to subsonic), relevant actuator and sensor models and physically-meaningful aerodynamic and parametric uncertainty profiles. The results show that: (i) LPV controller design methods can solve gain-scheduling problems in a very effective manner, (ii) integral quadratic constraint (IQC) analysis methods can be used very efficiently to accurately interpret the nonlinear time domain simulation results, and, (iii) the use of linear fractional transformation (LFT) and LPV modeling representations are key to a successful analysis.

[1]  Carsten W. Scherer,et al.  IQC-based LPV controller synthesis for the NASA HL20 atmospheric re-entry vehicle , 2009 .

[2]  A. Packard Gain scheduling via linear fractional transformations , 1994 .

[3]  Balas,et al.  [ z-analysis and Synthesis Toolbox * ( p-tools ) t , 2002 .

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

[5]  Andres Marcos,et al.  LPV Modeling, Analysis and Design in Space Systems: Rationale, Objectives and Limitations , 2009 .

[6]  Ian Postlethwaite,et al.  Nonlinear Worst-Case Analysis of an LPV Controller for Approach-Phase of a Re-Entry Vehicle , 2009 .

[7]  Andres Marcos,et al.  A gain scheduled H-infinity controller for a re-entry benchmark , 2010 .

[8]  Gary J. Balas,et al.  Quasi-LPV modeling and LPV control of a generic missile , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[9]  Peter N. Nikiforuk,et al.  Flight Control Design of an Unmanned Space Vehicle Using Gain Scheduling , 2005 .

[10]  Carsten W. Scherer,et al.  Analysis of the Controlled NASA HL20 Atmospheric Re-entry Vehicle based on Dynamic IQCs , 2009 .

[11]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[12]  Fen Wu,et al.  Switching LPV control of an F-16 aircraft via controller state reset , 2006, IEEE Transactions on Control Systems Technology.

[13]  Carsten W. Scherer,et al.  LMI Relaxations in Robust Control , 2006, Eur. J. Control.

[14]  Gary J. Balas Flight Control Law Design: An Industry Perspective , 2003, Eur. J. Control.

[15]  M. Grassi,et al.  AIAA Guidance, Navigation, and Control Conference , 2008 .

[16]  Carsten W. Scherer,et al.  Parametrically varying flight control system design with full block scalings , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[17]  John Doyle,et al.  Design examples using µ-synthesis: Space shuttle lateral axis FCS during reentry , 1986, 1986 25th IEEE Conference on Decision and Control.

[18]  I Cruz Christopher,et al.  Control Effectiveness and Tip-Fin Dihedral Effects for the HL-20 Lifting-Body Configuration at Mach Numbers From 1.6 to 4.5 , 1995 .

[19]  E. Bruce Jackson,et al.  Real-time simulation model of the HL-20 lifting body , 1992 .

[20]  Ian Postlethwaite,et al.  An LPV loop shaping controller design for the NASA-HL-20 re-entry vehicle , 2009 .

[21]  G. Balas,et al.  Development of linear-parameter-varying models for aircraft , 2004 .

[22]  K. Glover,et al.  Robustness Analysis of Nonlinear Flight Controllers , 2005 .

[23]  C. W. Scherer,et al.  Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness , 2005, SIAM J. Matrix Anal. Appl..

[24]  P. Gahinet,et al.  A linear matrix inequality approach to H∞ control , 1994 .

[25]  Jackson E. Bruce,et al.  Preliminary Subsonic Aerodynamic Model for Simulation Studies of the HL-20 Lifting Body , 2003 .

[26]  Richard W. Powell Six-degree-of-freedom guidance and control-entry analysis of the HL-20 , 1993 .

[27]  Andres Marcos,et al.  Application of LPV/LFT Modeling and Data-based Validation to a re-entry vehicle , 2009 .

[28]  Keith Glover,et al.  μ-analysis and synthesis toolbox: for use with Matlab, user’s guide version 3 , 1998 .

[29]  I Scallion William Aerodynamic Characteristics and Control Effectiveness of the HL-20 Lifting Body Configuration at Mach 10 in Air , 1999 .