Exploiting Higher-order Derivatives in Computational Optimal Control
Ross, I. Michael
MetadataShow full item record
To facilitate generation of real-time solutions to nonlinear optimal control problems, we present a new way of approximating higher-order derivatives that arise in control systems. A Legendre pseudospectral method is presented to efficiently and accurately discretize optimal control problems governed by higher-order dynamical constraints. For mechanical systems, a reduction in the number of unknown variables is immediately realized as a consequence of Newton's second law of motion which is of second order. The reduction in the size of the problem facilitates rapid solutions from nonlinear programming solvers. A rocket launch problem illustrates the differences in using standard state space first order forms and second-order forms. The numerical results show that the second-order form generates faster results with increasing relative computational speed for increasing grid points.
Proceedings of the 10th Mediterranean Conference on Control and Automation -- MED 2002 , Lisbon, Portugal, July7 9-12, 2002
Showing items related by title, author, creator and subject.
Clifton, James M. (Monterey, California. Naval Postgraduate School, 1992-09);A model of the dynamics of a long trailing-wire antenna towed behind an orbiting aircraft was developed and then an investigation was made of several candidate schemes to control the wire's steady-state shape and oscillations ...
Martinez, T.; Agrawal, B.N. (2008);This paper discusses two optical beam control testbeds developed at the Spacecraft Research and Design Center, Naval Postgraduate School, to evaluate and develop control techniques for jitter and adaptive optics control. ...
Vibration Reduction for Flexible Spacecraft Attitude Control Using PWPF Modulator and Smart Structures Song, G.; Agrawal, B.N. (1999);This paper presents a new approach to vibration reduction of flexible spacecraft during attitude control by using Pulse Width Pulse Frequency (PWPF) Modulator for thruster firing and smart materials for active vibration ...