Browsing by Author "Paul, R. J. A."
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Item Open Access Determination of dynamical models for adaptive control systems(College of Aeronautics, 1962-05) Paul, R. J. A.A method is described for the synthesis of a dynamical model of a linear system based on the use of orthonormal functions. It is shown that if the nominal values of all poles of a system are known, and if only one pole changes from its nominal value, then this change may be detected. It is also demonstrated that the numerator terms of the transmission transfer function of the system may be found provided the denominator is known. Active networks are described, for the simulation of the relevant orthonormal functions.Item Open Access The realization of fourth-order rational transfer functions with adjustable coefficients(College of Aeronautics, 1963-06) Paul, R. J. A.Design techniques are described for the simulation of third-order and fourth-order rational transfer functions with adjustable coefficients. The realization procedure, which is based on the use of an ideal computing amplifier associated with linear passive R.C. two-port networks, is an extension of the methods described previously(1,2) for quadratic functions.Item Open Access Item Open Access Simulation of rational transfer functions with adjustable coefficients(College of Aeronautics, 1962-04) Paul, R. J. A.Design techniques are described for the simulation of quadratic functions with independent control of each coefficient. Rational function approximations, for the simulation of dead time, are considered. Other typical examples are described and include the simulation of Butterworth functions, Chebyshev functions and orthonormal functions, which have application in self optimizing control systems.Item Open Access Two-port network representations of D. C. electro-mechanical transducers(College of Aeronautics, 1962-01) Paul, R. J. A.Two port network representations are derived for the general linear magnetic and electric field transducers. The constraints imposed by linearity requirements are discussed. It is shown that for the most general form of transducer. the conversion of energy leads to non-linear relationships, and a method of solving these equations is suggested. Typical applications are included to illustrate the analysis procedure and in particular the case of the d. c. motor is discussed in detail.