Dynamic design of spacecraft guidance systems using a spectral method

Mathematics

Scientific paper

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Control Theory, Soft Landing, Spacecraft Design, Spacecraft Guidance, Surveyor Lunar Probes, Systems Engineering, Algorithms, Computer Techniques, Descent Trajectories, Design Analysis, Lunar Surface, Matrices (Mathematics), Root-Mean-Square Errors, Run Time (Computers)

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Scientific paper

Abstract

The spectral theory of nonstationary control systems has been developed in previous papers. It provides practical methods for solving all the basic problems of analysis, synthesis, and experimental investigation of linear and nonlinear, multidimensional, stochastic, and continuous-discrete systems with variable parameters. No limitations are placed on the system order or the number and form of the variables. The methods are essentially analytical, with the spectral algorithms represented in matrix form. The present paper discusses the stages involved in applying the spectral method to designing spacecraft guidance systems. The specific application considered is the control system used by a Surveyor spacecraft to soft-land on the moon. The advantages of the spectral method include a saving of computer time due to the algebraic nature of the algorithms used.

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