Optimum control using signal processing in integrated aerospace navigation systems

The global - air - navigation telecommunication network is an integrated system which joins telecommunication, navigation, and observation. This integrated system provides communication in real-time scale between any two inverse points. Direct and indirect measurement (DIM) of basic navigational parameters of aircraft movement (position, velocity, acceleration,..... etc) should be done accurately and precision. This paper provides general theoretical fundamentals of Optimum Control (OC) of processed signal in integrated navigational systems to obtain relatively simple and practically convenient relations for calculating maximum accuracy. The well known maximum probability method is used to obtain Optimum Complex Evaluation (OCE) for the processed results of Unequal Accuracy (UA) measurements. Two lemmas are considered for absolute concepts and ratio errors in DIM. Features of the proposed method are illustrated using the simplest case of two measurement (m=2) and then generalized using the method of induction for (m>2). The essential conditions of existence theorem of optimum integration (OI) are proved for these problems. Theoretical regulations of OI are illustrated using the results of experiment, numerical examples and graphics. Through the results of investigations, conclusions are formulated and practical recommendations are developed for the use of OI.