Parabolic approximation to EMA motion profiles

Parabolic curves fit physical trajectories well because of the inherent smoothness of inertial movement; and, with only a few parameters, they can fit complex paths far more effectively than linear approximations. This paper presents a method using parabolas to approximate the motion profiles to be used in driving an electromechanical aircraft actuator. This method allows the actuator to run longer tests more efficiently. The details of the scheme are explained with emphasis on its matrix manipulation and the fidelity of the approximation to the original, complex profile.

[1]  Aun-Neow Poo,et al.  An interpolation scheme for tool-radius compensated parabolic paths for CNC , 1996 .

[2]  Mohamed Zayed,et al.  An Inertial Sensor for Mechanical Compensation of the Vehicle Vertical Movement Impact on In-Vehicle Embedded Camera Orientation , 2007, 2007 IEEE Intelligent Transportation Systems Conference.

[3]  Florence Rossant,et al.  Reliable Eyelid Localization for Iris Recognition , 2008, ACIVS.

[4]  Francisco Aparicio,et al.  Measurement uncertainty determination and curve-fitting algorithms for development of accurate digital maps for advanced driver assistance systems , 2009 .

[5]  H. Hida,et al.  A novel 2DEGFET model based on the parabolic velocity-field curve approximation , 1986, IEEE Transactions on Electron Devices.

[6]  M. Anderson.  Real-time implementation of lateral flow estimation using spatial quadrature , 1998, 1998 IEEE Ultrasonics Symposium. Proceedings (Cat. No. 98CH36102).

[7]  Manabu Takao,et al.  A modified Wells turbine for wave energy conversion , 2003 .

[8]  Cláudio Rosito Jung,et al.  An Improved Linear-Parabolic Model for Lane Following and Curve Detection , 2005, XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05).

[9]  D. Lucchesi,et al.  ISA accelerometer onboard the Mercury Planetary Orbiter: error budget , 2007 .

[10]  C. B. Rajanathan,et al.  Dynamic analysis of voltage excited tubular linear induction actuators , 1991 .

[11]  S. Dyer,et al.  Cubic-spline interpolation. 1 , 2001 .

[12]  Tae-wan Kim,et al.  Moving parabolic approximation of point clouds , 2007, Comput. Aided Des..