Performance Based Control-Relevant Design for Scramjet-Powered Hypersonic Vehicles

In this paper we consider limits of achievable performance for a class of scramjet-powered hypersonic aircraft. A simple 3-DOF model is used to illustrate the main ideas. The vehicle is characterized by unstable and non-minimum phase dynamics. The limitations introduced by the right-half plane zero and actuator saturation on achievable trajectories has been examined. In addition, we examine several vehicle configurations and consider fundamental limitations for the plant and closed loop performance. An optimization methodology that explicitly incorporates performance specifications into the design of vehicle is explored. The advantages of such an approach is illustrated with examples.

[1]  G. Stein,et al.  Respect the unstable , 2003 .

[2]  R. J. Niewoehner,et al.  Integrated aircraft-controller design using linear matrix inequalities , 1996 .

[3]  Dario H. Baldelli,et al.  Nonlinear aeroelastic/aeroservoelastic modeling by block-oriented identification , 2005 .

[4]  John David Anderson,et al.  Aircraft performance and design , 1998 .

[5]  Tingshu Hu,et al.  An explicit description of null controllable regions of linear systems with saturating actuators , 2002, Syst. Control. Lett..

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

[7]  Curtis Peebles,et al.  Road to Mach 10 : lessons learned from the X-43A flight research program , 2008 .

[8]  Srikanth Sridharan,et al.  Modeling and Control of Scramjet-Powered Hypersonic Vehicles: Challenges, Trends, & Tradeoffs , 2008 .

[9]  Charles R. Mcclinton,et al.  Hyper-X: Flight Validation of Hypersonic Airbreathing Technology , 1997 .

[10]  Mikhail Goman,et al.  Computation of controllability regions for unstable aircraft dynamics. , 2004 .

[11]  D. Luenberger.  Optimization by Vector Space Methods , 1968 .

[12]  Jian Liang Wang,et al.  An LMI-based optimization approach for integrated plant/output-feedback controller design , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[14]  J. Anderson,et al.  Hypersonic and High-Temperature Gas Dynamics , 2019 .

[15]  Scott A. Berry,et al.  Hypersonic Boundary-Layer Trip Development for Hyper-X , 2000 .

[16]  D. Glass.  Ceramic Matrix Composite (CMC) Thermal Protection Systems (TPS) and Hot Structures for Hypersonic Vehicles , 2008 .

[17]  Christian Breitsamter,et al.  Lateral-Directional Coupling and Unsteady Aerodynamic Effects of Hypersonic Vehicles , 2001 .

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

[19]  Rick Lind,et al.  Control-oriented analysis of thermal gradients for a hypersonic vehicle , 2009, 2009 American Control Conference.

[20]  Jie Chen,et al.  Guest editorial new developments and applications in performance limitation of feedback control , 2003, IEEE Trans. Autom. Control..

[21]  Michael A. Bolender,et al.  Hypersonic Vehicle Thrust Sensitivity to Angle of Attack and Mach Number , 2009 .

[22]  M. J. Carpenter,et al.  Optimal Redesign of Linear Systems , 1993, 1993 American Control Conference.

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

[24]  M. Kanat Camlibel,et al.  Null controllability of discrete-time linear systems with input and state constraints , 2008, 2008 47th IEEE Conference on Decision and Control.

[25]  Basil Kouvaritakis,et al.  Stability region for a class of open-loop unstable linear systems: Theory and application , 2000, Autom..

[26]  Michael A. Bolender,et al.  Approximate Feedback Linearization of an Air-Breathing Hypersonic Vehicle (PREPRINT) , 2005 .

[27]  David B. Doman,et al.  Combined Reference Governor and Anti-windup Design for Constrained Hypersonic Vehicles Models , 2009 .

[28]  M. Dahleh,et al.  Control of Uncertain Systems: A Linear Programming Approach , 1995 .

[29]  D.B. Doman,et al.  Progress in Guidance and Control Research for Space Access and Hypersonic Vehicles , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[30]  William H. Heiser,et al.  Hypersonic Airbreathing Propulsion , 1994 .

[31]  Michael A. Bolender,et al.  Effects of Unsteady and Viscous Aerodynamics on the Dynamics of a Flexible Air-breathing Hypersonic Vehicle , 2007 .

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

[33]  Srikanth Sridharan,et al.  Decentralized Control of an Airbreathing Scramjet-Powered Hypersonic Vehicle , 2009 .

[34]  Eduardo Sontag.  An algebraic approach to bounded controllability of linear systems , 1984 .

[35]  Michael A. Bolender,et al.  Modeling Unsteady Heating Effects on the Structural Dynamics of a Hypersonic Vehicle , 2006 .

[36]  Srikanth Sridharan,et al.  Control-Relevant Modeling, Analysis, and Design for Scramjet-Powered Hypersonic Vehicles , 2009 .

[37]  Michael Richard,et al.  The X-43A Six Degree of Freedom Monte Carlo Analysis , 2008 .

[38]  J. Freudenberg,et al.  Right half plane poles and zeros and design tradeoffs in feedback systems , 1985 .

[39]  Anthony J. Calise,et al.  Robust control of hypersonic vehicles considering propulsive and aeroelastic effects , 1993 .

[40]  Michael A. Bolender,et al.  A Non-Linear Model for the Longitudinal Dynamics of a Hypersonic Air-breathing Vehicle , 2005 .

[41]  Srikanth Sridharan,et al.  Constraint enforcement for scramjet-powered hypersonic vehicles with significant aero-elastic-propulsion interactions , 2009, 2009 American Control Conference.

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

[43]  Marty Brenner,et al.  Robust Aeroservoelastic Stability Analysis: Flight Test Applications , 2011 .

[44]  Didier Henrion,et al.  GloptiPoly 3: moments, optimization and semidefinite programming , 2007, Optim. Methods Softw..

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

[46]  Mario Sznaier,et al.  /spl Lscr//sub /spl infin//-optimal control of SISO continuous time systems and its rational approximations , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[47]  Pierre T. Kabamba,et al.  Coupling Between the Modeling and Controller-Design Problems—Part I: Analysis , 1997 .

[48]  Michael A. Bolender,et al.  Aerothermal Modeling and Dynamic Analysis of a Hypersonic Vehicle , 2007 .

[49]  Kathryn E. Wurster,et al.  Boundary-Layer Transition on X-43A , 2010 .

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

[51]  J. M. Underwood,et al.  Development of aerodynamic uncertainties for the Space Shuttle Orbiter , 1983 .

[52]  Ryan P. Starkey,et al.  Rapid Conceptual Design and Analysis of a Hypersonic Air-Breathing Missile , 2008 .

[53]  Charles McClinton,et al.  X-43 - Scramjet Power Breaks the Hypersonic Barrier: Dryden Lectureship in Research for 2006 , 2006 .

[54]  Flight Control of Hypersonic Scramjet Vehicles Using a Differential Algebraic Approach (Postprint) , 2006 .

[55]  A. Galip Ulsoy,et al.  On the coupling between the plant and controller optimization problems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[56]  David B. Doman,et al.  A Hypersonic Vehicle Model Developed With Piston Theory (Preprint) , 2006 .

[57]  David B. Doman,et al.  A Flexible Hypersonic Vehicle Model Developed With Piston Theory (Preprint) , 2006 .

[58]  J. Anderson,et al.  Hypersonic and High-Temperature Gas Dynamics, Third Edition , 2006 .

[59]  A. Teel,et al.  The L2 anti-winup problem: Its definition and solution , 1997, 1997 European Control Conference (ECC).

[60]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[61]  Walter C. Engelund,et al.  Integrated Aeropropulsive Computational Fluid Dynamics Methodology for the Hyper-X Flight Experiment , 2001 .

[62]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .