Survey of Numerical Methods for Trajectory Optimization

[1]  Chang-Hee Won.  Fuel- or Time-Optimal Transfers Between Coplanar, Coaxial Ellipses Using Lambert's Theorem , 1999 .

[2]  Anil V. Rao,et al.  Eigenvector approximate dichotomic basis method for solving hyper‐sensitive optimal control problems , 1999 .

[3]  G. Launay,et al.  Large-Scale Direct Optimal Control Applied to a Re-Entry Problem , 1998 .

[4]  I. Michael Ross,et al.  Costate Estimation by a Legendre Pseudospectral Method , 1998 .

[5]  J. Betts,et al.  MESH REFINEMENT IN DIRECT TRANSCRIPTION METHODS FOR OPTIMAL CONTROL , 1998 .

[6]  D. Hull.  Conversion of optimal control problems into parameter optimization problems , 1996 .

[7]  A. L. Herman,et al.  Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules , 1996 .

[8]  Linda R. Petzold,et al.  Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

[9]  H. J. Pesch,et al.  Minimizing the maximum heating of a re-entering space shuttle : An optimal control problem with multiple control constraints , 1996 .

[10]  H. J. Pesch,et al.  Abort landing in windshear: Optimal control problem with third-order state constraint and varied switching structure , 1995 .

[11]  Jason L. Speyer.  Periodic optimal flight , 1996 .

[12]  Robert D. Russell,et al.  Numerical solution of boundary value problems for ordinary differential equations , 1995, Classics in applied mathematics.

[13]  John T. Betts.  The Application of Sparse Least Squares in Aerospace Design Problems , 1995 .

[14]  Kathryn E. Brenan,et al.  A Generalized Reduced Gradient Algorithm for Large-scale Trajectory Optimization Problems , 1995 .

[15]  John T. Betts,et al.  Application of Direct Transcription to Commercial Aircraft Trajectory Optimization , 1995 .

[16]  J. Betts,et al.  A sparse nonlinear optimization algorithm , 1994 .

[17]  J. Betts.  Issues in the direct transcription of optimal control problems to sparse nonlinear programs , 1994 .

[18]  Peter Deuflhard,et al.  OCCAL: a mixed symbolic-numeric Optimal Control CALculator , 1994 .

[19]  Marc C. Steinbach,et al.  A structured interior point SQP method for nonlinear optimal control problems , 1994 .

[20]  G. Sachs,et al.  A new tool for efficient optimization by automatic differentiation and program transparency , 1994 .

[21]  W. Sell,et al.  Practical Experiences , 1994, Proceedings Thirteenth IEEE Symposium on Mass Storage Systems. Toward Distributed Storage and Data Management Systems.

[22]  H. J. Pesch.  A Practical Guide to the Solution of Real-Life Optimal Control Problems , 1994 .

[23]  Hans Seywald,et al.  Trajectory optimization based on differential inclusion , 1994 .

[24]  John T. Betts,et al.  A performance comparison of nonlinear programming algorithms for large sparse problems , 1993 .

[25]  G. Sachs,et al.  Periodic maximum range cruise with singular control , 1993 .

[26]  Leslie R. Balkanyi,et al.  DUKSUP - A high thrust trajectory optimization code , 1993 .

[27]  H. Keller.  Numerical Methods for Two-Point Boundary-Value Problems , 1993 .

[28]  R. Callies,et al.  Optimal Design of a Mission to Neptune , 1993 .

[29]  John T. Betts,et al.  Trajectory Optimization Using Sparse Sequential Quadratic Programming , 1993 .

[30]  O. V. Stryk,et al.  Numerical Solution of Optimal Control Problems by Direct Collocation , 1993 .

[31]  J. Betts,et al.  Application of sparse nonlinear programming to trajectory optimization , 1992 .

[32]  B. Conway,et al.  Solution of singular optimal control problems using direct collocation and nonlinear programming , 1992 .

[33]  Oskar von Stryk,et al.  Direct and indirect methods for trajectory optimization , 1992, Ann. Oper. Res..

[34]  Andreas Griewank,et al.  ADIFOR - Generating Derivative Codes form Fortran Programs , 1992, Sci. Program..

[35]  J. Betts,et al.  Path constrained trajectory optimization using sparse sequential quadratic programming , 1991 .

[36]  Bruce A. Conway,et al.  Discrete approximations to optimal trajectories using direct transcription and nonlinear programming , 1992 .

[37]  Bruce A. Conway,et al.  Optimal finite-thrust spacecraft trajectories using collocation and nonlinear programming , 1991 .

[38]  J. Betts.  Sparse Jacobian updates in the collocation method for optimal control problems , 1990 .

[39]  Jeffery S. Logsdon,et al.  Accurate solution of differential-algebraic optimization problems , 1989 .

[40]  John T. Betts,et al.  Trajectory optimization on a parallel processor , 1989 .

[41]  Robert Luke,et al.  Computational efficiency considerations for high-fidelity launch vehicle trajectory optimization , 1989 .

[42]  David Ferguson,et al.  Modeling and analysis of aerodynamic data. II - Practical experience , 1989 .

[43]  David Ferguson,et al.  Modeling and analysis of aerodynamic data , 1989 .

[44]  J. Stoer.  Numerische Mathematik 1 , 1989 .

[45]  R. Fletcher.  Practical Methods of Optimization , 1988 .

[46]  P. Gill,et al.  A Schur-complement method for sparse quadratic programming , 1987 .

[47]  C. R. Hargraves,et al.  DIRECT TRAJECTORY OPTIMIZATION USING NONLINEAR PROGRAMMING AND COLLOCATION , 1986 .

[48]  P. Gill,et al.  Some theoretical properties of an augmented lagrangian merit function , 1986 .

[49]  D. R. Ferguson.  Construction of curves and surfaces using numerical optimization techniques , 1986 .

[50]  P. Gill,et al.  Fortran package for nonlinear programming. User's Guide for NPSOL (Version 4. 0) , 1986 .

[51]  Dieter Kraft,et al.  On Converting Optimal Control Problems into Nonlinear Programming Problems , 1985 .

[52]  H. Bock,et al.  A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems , 1984 .

[53]  J. T. Betts.  Frontiers in Engineering Optimization , 1983 .

[54]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[55]  J. J. Moré,et al.  Estimation of sparse jacobian matrices and graph coloring problems , 1983 .

[56]  T. Vu.  Numerical methods for smooth solutions of ordinary differential equations , 1983 .

[57]  C. W. Gear,et al.  Smooth Numerical Solutions of Ordinary Differential Equations , 1983 .

[58]  L. Petzold.  A description of dassl: a differential/algebraic system solver , 1982 .

[59]  L. Petzold.  Differential/Algebraic Equations are not ODE's , 1982 .

[60]  A. J. Calise,et al.  Singular perturbation techniques for real time aircraft trajectory optimization and control , 1982 .

[61]  Philip E. Gill,et al.  Practical optimization , 1981 .

[62]  A. Calise.  SINGULAR PERTURBATION TECHNIQUES FOR ON-LINE OPTIMAL FLIGHT PATH CONTROL* , 1981 .

[63]  R. Brusch.  Constrained Impulsive Trajectory Optimization for Orbit-to-Orbit Transfer , 1979 .

[64]  D. J. Bell,et al.  Numerical Methods for Unconstrained Optimization , 1979 .

[65]  Robert D. Russell,et al.  COLSYS - - A Collocation Code for Boundary - Value Problems , 1978, Codes for Boundary-Value Problems in Ordinary Differential Equations.

[66]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[67]  Harvey J. Greenberg,et al.  Design and implementation of optimization software , 1977, Math. Program..

[68]  J. Betts.  Optimal three-burn orbit transfer , 1977 .

[69]  G. L. Brauer,et al.  Capabilities and applications of the Program to Optimize Simulated Trajectories (POST). Program summary document , 1977 .

[70]  W. Murray.  Numerical Methods for Unconstrained Optimization , 1975 .

[71]  L. Shampine,et al.  Computer solution of ordinary differential equations : the initial value problem , 1975 .

[72]  Klaus H. Well,et al.  Approximate Solution of Optimal Control Problems Using Third Order Hermite Polynomial Functions , 1974, Optimization Techniques.

[73]  M. Powell,et al.  On the Estimation of Sparse Jacobian Matrices , 1974 .

[74]  Åke Björck,et al.  Numerical Methods , 1995, Handbook of Marine Craft Hydrodynamics and Motion Control.

[75]  H. Malchow,et al.  Optimal low thrust geocentric transfer , 1973 .

[76]  F. A. Lootsma,et al.  Numerical methods for non-linear optimization , 1974 .

[77]  J. M. Watt.  Numerical Initial Value Problems in Ordinary Differential Equations , 1972 .

[78]  L. Shampine,et al.  A collocation method for boundary value problems , 1972 .

[79]  C. W. Gear,et al.  Simultaneous Numerical Solution of Differential-Algebraic Equations , 1971 .

[80]  Elijah Polak,et al.  Computational methods in optimization , 1971 .

[81]  Daniel Tabak,et al.  Optimal control by mathematical programming , 1971 .

[82]  Stephen J. Citron,et al.  Elements of Optimal Control , 1969 .

[83]  Hideo Matsubara.  Optimum Thrust Programming for a Sounding Rocket , 1969 .

[84]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[85]  R. Usmani.  Numerical solution of boundary value problems in ordinary differential equations , 1967 .

[86]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[87]  F. R. Moulton,et al.  New methods in exterior ballistics , 1927 .