First Flight Results on Time-Optimal Spacecraft Slews

This paper describes the design and flight implementation of time-optimal attitude maneuvers performed onboard NASA’s Transition Region and Coronal Explorer spacecraft. Minimum-time reorientation maneuvers have obvious applications for improving the agility of spacecraft systems, yet this type of capability has never before been demonstrated in flight due to the lack of reliable algorithms for generating practical optimal control solutions suitable for flight implementation. Constrained time-optimal maneuvering of a rigid body is studied first, in order to demonstrate the potential for enhancing the performance of the Transition Region and Coronal Explorer spacecraft. Issues related to the experimental flight implementation of time-optimal maneuvers onboard Transition Region and Coronal Explorer are discussed. A description of an optimal control problem that includes practical constraints such as the nonlinear reaction wheel torque-momentum envelope and rate gyro saturation limits is given. The problem is solved using the pseudospectral optimal control theory implemented in the MATLAB® software DIDO. Flight results, presented for a typical large-angle time-optimal reorientation maneuver, show that the maneuvers can be implemented without any modification of the existing spacecraft attitude control system. A clear improvement in spacecraft maneuver performance as compared with conventional eigenaxis maneuvering is demonstrated.

[1]  Bong Wie,et al.  Space Vehicle Dynamics and Control , 1998 .

[2]  I. Michael Ross,et al.  Legendre Pseudospectral Approximations of Optimal Control Problems , 2003 .

[3]  Qi Gong,et al.  PSEUDOSPECTRAL OPTIMAL CONTROL ON ARBITRARY GRIDS , 2009 .

[4]  Li-Chun Lai,et al.  Time-optimal maneuvering control of a rigid spacecraft , 2007 .

[5]  I. Michael Ross,et al.  Spectral Algorithm for Pseudospectral Methods in Optimal Control , 2008, Journal of Guidance, Control, and Dynamics.

[6]  I. Michael Ross,et al.  On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems , 2007 .

[7]  Wei Kang,et al.  Pseudospectral Optimal Control Theory Makes Debut Flight, Saves NASA $1M in Under Three Hours , 2007 .

[8]  Panagiotis Tsiotras,et al.  Time-Optimal Control of Axisymmetric Rigid Spacecraft Using Two Controls , 1999 .

[9]  Willem H. Steyn,et al.  Near-Minimum-Time Eigenaxis Rotation Maneuvers Using Reaction Wheels , 1995 .

[10]  I. Michael Ross,et al.  Optimal Feedback Control: Foundations, Examples, and Experimental Results for a New Approach , 2008 .

[11]  Francesca Rossi,et al.  Principles and Practice of Constraint Programming – CP 2003 , 2003, Lecture Notes in Computer Science.

[12]  Jianbo Lu,et al.  Feedback control logic for spacecraft eigenaxis rotations under slew rate and control constraints , 1994 .

[13]  Wei Kang,et al.  Pseudospectral Optimal Control and Its Convergence Theorems , 2008 .

[14]  Jonathan Wilmot,et al.  The Attitude Control System Design for the Transition Region and Coronal Explorer Mission , 1995 .

[15]  I. Michael Ross,et al.  Advances in Pseudospectral Methods for Optimal Control , 2008 .

[16]  I. Michael Ross 6 – Space Trajectory Optimization and L1-Optimal Control Problems , 2006 .

[17]  I. Michael Ross,et al.  Minimum-Time Reorientation of a Rigid Body , 2010 .

[18]  B. Wie,et al.  Time-optimal three-axis reorientation of a rigid spacecraft , 1993 .

[19]  Qi Gong,et al.  A pseudospectral method for the optimal control of constrained feedback linearizable systems , 2006, IEEE Transactions on Automatic Control.

[20]  Wei Kang,et al.  New Trends in Nonlinear Dynamics and Control and their Applications , 2003 .

[21]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[22]  Christopher D. Hall,et al.  Spacecraft Dynamics and Control , 2002 .

[23]  I. Michael Ross,et al.  Convergence of the Costates Does Not Imply Convergence of the Control , 2008, Journal of Guidance, Control, and Dynamics.

[24]  Wei Kang,et al.  Zero-propellant maneuver guidance , 2009, IEEE Control Systems.

[25]  I. Michael Ross,et al.  A review of pseudospectral optimal control: From theory to flight , 2012, Annu. Rev. Control..

[26]  Hyochoong Bang,et al.  Large angle attitude control of spacecraft with actuator saturation , 2003 .

[27]  W. Kang Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems , 2010 .