Costate computation by a Chebyshev pseudospectral method
Ross, I. Michael
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Among the various pseudospectral (PS) methods for optimal control , only the Legendre PS method has been mathematically proven to guarantee the feasibility, consistency, and convergence of the approximations [2–5]. As exemplified by its experimental and flight applications in national programs [6–10], it is not surprising that the Legendre PS method has become the method of choice [11–19] in both industry and academia for solving optimal control problems. Efforts to improve the Legendre PS methods by using either other polynomials [20–22] or point distributions [23,24] have not yet resulted in any rigorous framework for convergence of these approximations [24,25].
The article of record as published may be found at http://dx.doi.org/10.2514/1.45154
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Fahroo, Fariba; Ross, I. Michael (The American Institute of Aeronautics and Astronautics (AIAA), 2008-08-18);Recently, the Legendre Pseudospectral (PS) method migrated from theory to fight application onboard the International Space Station for performing a finite-horizon, zero- propellant maneuver. A small technical modification ...
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