PRELIMINARY STUDIES OF ADVANCED MATHEMATICAL MODELING AND COMPUTING METHODS FOR FLIGHT SYSTEMS

摘要

The essence of sophisticated aero-space flight systems is multitudes of transformations referenced to moving bases. The matrix of a linear transformation on a vector space looks differently in different bases.n"Matrix" methods applied to the classical dyadic yield the optimal representation of the linear transformation both from the stand¬point of the design engineer and the machine. This paper presents systematic methods which are extremely flexible for arbitrary mapping the dynamical system equations back and forth from the vector-dyadic representations to "transfer-matrix" representations for computer mechanization. For clarity the transformations are restricted to ortho-normal bases.nCurrent analog and digital computers do not efficiently utilize the capabilities of the machines. Preliminary matrix computer design considerations are presented and developed around transfer -matrix block diagrams.