A set of singular values is proposed for use as a plant dynamics-modeling quantitative index which expresses estimation accuracy in terms of the state components. Since the singular values show not only estimation qua...
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A set of singular values is proposed for use as a plant dynamics-modeling quantitative index which expresses estimation accuracy in terms of the state components. Since the singular values show not only estimation quality but also the coupling intensities of each state, a principal coordinate realization can be used for the derivation of a reduced-order, or simplified, estimator. Reasonable results are thereby obtainable with only a small computational requirement. (O.C.)
A simple refinement is proposed for Gersten's (1961) method for the conversion of earth-centered, earth-fixed (ECEF) coordinates to geodetic coordinates. The refinement, which involves conversion of the appropriat...
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A simple refinement is proposed for Gersten's (1961) method for the conversion of earth-centered, earth-fixed (ECEF) coordinates to geodetic coordinates. The refinement, which involves conversion of the appropriate geodetic position back to ECEF and calculating the exact error in order to adjust the geodetic position, allows greater accuracy to be achieved when using 60-bit precision. A second adjustment is recommended when using 120- bit precision. (O.C.)
In this article the existing methods for determining the approximate onesided confidence intervals on the positive linear combinations of two variances are examined. In addition, an iterative algorithm which can be us...
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In this article the existing methods for determining the approximate onesided confidence intervals on the positive linear combinations of two variances are examined. In addition, an iterative algorithm which can be used to obtain an 'exact' one-sided confidence intervals is presented.
The iterative algorithm presented for the transformation of earth-centered, earth-fixed coordinates into geodetic coordinates is free from any singularity, has a uniformly good rate of convergence from the equator to ...
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The iterative algorithm presented for the transformation of earth-centered, earth-fixed coordinates into geodetic coordinates is free from any singularity, has a uniformly good rate of convergence from the equator to the pole, and may be used in real-time applications. Illustrative numerical results are presented. (O.C.)
By means of algebraic transformations a Riccati differential matrix system coupled in its quadratic terms is reduced to another one for which the successive approximation method is available. An iterative algorithm fo...
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By means of algebraic transformations a Riccati differential matrix system coupled in its quadratic terms is reduced to another one for which the successive approximation method is available. An iterative algorithm for solving the problem and an error upper bound for the approximation are given.
A set of Wu 's equations governing the fluid flow along a given Si stream surface is solved by the use of artificialcompressibility and a new iterative algorithm between the two variables stream function ^ and den...
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Direct complementary pivot algorithms for the linear complementarity problem withP-matrices are known to have exponential computational complexity. The analog of Gauss-Seidel and SOR iteration for linear complementari...
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Direct complementary pivot algorithms for the linear complementarity problem withP-matrices are known to have exponential computational complexity. The analog of Gauss-Seidel and SOR iteration for linear complementarity problems withP-matrices has not been extensively developed. This paper extends some work of van Bokhoven to a class of nonsymmetricP-matrices, and develops and compares several new iterative algorithms for the linear complementarity problem. Numerical results for several hundred test problems are presented. Such indirect iterative algorithms may prove useful for large sparse complementarity problems.
An angular guidance law for tactical missiles optimized by the adjoint technique is compared with a metric law for such missiles comprising an estimator connected to a terminal controller forcing the estimated miss di...
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An angular guidance law for tactical missiles optimized by the adjoint technique is compared with a metric law for such missiles comprising an estimator connected to a terminal controller forcing the estimated miss distance to zero. The terms of comparison are miss distance and realizability. An analytic solution is given for one specific, significant case. It is concluded that linear-quadratic Gaussian optimization, without constraint on commanded acceleration and with stationary measurement and process noise, yields the same theoretical minimum miss distance irrespective of whether the control law is angular or metric. If an approximate angular law is used, the resulting performance degradation is inversely proportional to measurement noise. The metric law produces a performance advantage as a result of time-to-go measurement, which produces a better missile lateral acceleration history against a maneuvering target. (C.D.)
A simple iterative algorithm for selecting terminal penalty weighting matrices for linear-quadratic control problems is presented. The algorithm selects a weighting matrix which yields acceptable system performance, w...
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A simple iterative algorithm for selecting terminal penalty weighting matrices for linear-quadratic control problems is presented. The algorithm selects a weighting matrix which yields acceptable system performance, while avoiding large changes in magnitude in final values of the feedback gains. The algorithm is made computationally efficient by using closed- form solutions for the time-varying Riccati equation and the closed-loop system response. The method is heuristic, but offers a systematic approach to terminal weight selection. (C.D.)
This paper addresses the issue of "conservatism" in the time-domain stability robustness bounds obtained by the Lyapunov approach. A state transformation is employed to improve the upper bounds on the linear...
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