Aerodynamic parameter identification for symmetric projectiles: An improved gradient based method

Abstract In order to estimate the aerodynamic coefficients of a symmetric projectile from free flight range data, an algorithm using traditional linear theory with non-linear programming is investigated. The linear theory solution is reformulated resulting in matrix expressions of improved compactness and simplicity, which provide predictions of yaw, pitch, crossrange, and altitude as functions of downrange travel. The new solution is easily differentiated with respect to aerodynamic coefficients such that a gradient based output error estimation algorithm naturally follows. Numerical results are presented and compared to a previous method that required finite differencing for gradient estimates.

[1]  Bradley T. Burchett,et al.  Aerodynamic Parameter Identification for Symmetric Projectiles: Comparing Gradient Based and Evolutionary Algorithms , 2011 .

[2]  Mark Costello,et al.  Modified Projectile Linear Theory for Rapid Trajectory Prediction , 2005 .

[3]  Frank Fresconi,et al.  Model Predictive Control of Agile Projectiles , 2012 .

[4]  W. Mermagen,et al.  A method for obtaining aerodynamic coefficients from yawsonde and radar data , 1972 .

[5]  Bernard J. Guidos Deflection Measurement Accuracy in a Course- Corrected 120-mm Mortar Spark Range Flight Experiment , 2004 .

[6]  Bernard J. Guidos,et al.  Linearized Motion of a Fin-Stabilized Projectile Subjected to a Lateral Impulse , 2002 .

[7]  C. H. Murphy DATA REDUCTION FOR THE FREE FLIGHT SPARK RANGES , 1954 .

[8]  A NUMERICAL TECHNIQUE FOR OPTIMAL OUTPUT FEEDBACK USING FADE APPROXIMATIONS1 , 2001 .

[9]  D. B. Kirk,et al.  A Method for Extracting Aerodynamic Coefficients from Free-Flight Data , 1969 .

[10]  Mark Costello,et al.  Model Predictive Control of a Direct Fire Projectile Equipped with Canards , 2005 .

[11]  Sergio Cavalcanti,et al.  Preliminary Model Matching of the EMBRAER 170 Jet , 2003 .

[12]  Mark Costello,et al.  MultiBoom: A Generic Multibody Flight Mechanics Simulation Tool for Smart Projectiles , 2012 .

[13]  Mark Costello,et al.  Prediction of swerving motion of a dual-spin projectile with lateral pulse jets in atmospheric flight , 2002 .

[14]  Mark Costello,et al.  Model Predictive Lateral Pulse Jet Control of an Atmospheric Rocket , 2002 .

[15]  Mark Costello,et al.  Linear Theory of a Dual-Spin Projectile in Atmospheric Flight , 2000 .

[16]  Lawrence W. Burke,et al.  Spark Camera Annotation and Control System for the BRL (Ballistic Research Laboratory) Transonic Range Facility , 1989 .

[17]  C. Loan Computing integrals involving the matrix exponential , 1978 .

[18]  Nathan Slegers,et al.  Predictive Control of a Munition Using Low-Speed Linear Theory , 2008 .

[19]  Michael Athans,et al.  Systems, networks, and computation: multivariable methods , 1974 .

[20]  Kevin Massey,et al.  Combining experimental data, computational fluid dynamics, and six-degree of freedom simulation to develop a guidance actuator for a supersonic projectile , 2009 .

[21]  Frank Fresconi,et al.  Obtaining the Aerodynamic and Flight Dynamic Characteristics of an Asymmetric Projectile Through Experimental Spark Range Firings , 2011 .

[22]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .