Krasker and Welsch proposed an estimator related to GM-estimators for robust estimation in the classical linear model. In this paper we use standard methods for creating recursive algorithms to formulate a recursive v...
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The optimal control problem of singularly perturbed bilinear system is studied. A recursive algorithm is presented to solve the corresponding nonlinear algebraic equations. 'rhe algorithm removes the ill-condition...
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The optimal control problem of singularly perturbed bilinear system is studied. A recursive algorithm is presented to solve the corresponding nonlinear algebraic equations. 'rhe algorithm removes the ill-conditioning by decomposing the higher order equation into lower order equations and develops a technique which enables us to obtain an arbitrary accuracy that is, O(epsilon(k)) approximation for this problem. A numerical example is presented to support the theoretical results.
This article presents an efficient method for computing exact conditional distributions of the sufficient statistics for the parameters of four polytomous response models. For nominal response, two baseline category l...
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This article presents an efficient method for computing exact conditional distributions of the sufficient statistics for the parameters of four polytomous response models. For nominal response, two baseline category logit models and, for ordinal response, two adjacent categories logit models are considered. The method consists of recursive generation of the joint distribution of the sufficient statistics, augmented by a technique to slice off portions of the evolving sample space so as to eventually yield the required conditional distribution. Two actual data sets are analyzed to illustrate the method. [ABSTRACT FROM AUTHOR]
This paper considers an unknown nonlinear static system with an adjustable parameter (input parameter). The problem is to find the least‐square approximation input parameter. A recursive algorithm is proposed that es...
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This paper describes a recursive algorithm suitable for microprocessor based power system relaying and measurement applications. The algorithm is designed using the least error squares curve fitting technique. The mat...
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This paper describes a recursive algorithm suitable for microprocessor based power system relaying and measurement applications. The algorithm is designed using the least error squares curve fitting technique. The mathematical background for the non-recursive least error squares algorithm is extended to form a recursive algorithm. A method for including decaying dc and harmonic frequencies in the algorithm is described. Finally, sample studies are presented to demonstrate the performance of the developed algorithm.
In this paper, a recursive Measurement Error Estimation Identification algorithm has been proposed for identifying multiple interacting bad data in power system static state estimation. A set of linearized formulae ha...
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In this paper, a recursive Measurement Error Estimation Identification algorithm has been proposed for identifying multiple interacting bad data in power system static state estimation. A set of linearized formulae have been developed and used to recursively calculate normalized residuals and normalized measurement error estimates upon which the bad data identification method is based. Sparse vector and partial factor modification techniques have been made full use of in the recursive identification calculations. Neither W(ss) nor state re-estimation is needed in the whole identification process. Digital tests on various power systems including a 171 bus real system have been done to show the validity and efficiency of the proposed bad data identification method.
This paper describes a class of networks called hierarchical networks and shows how reliability can be computed efficiently in a hierarchical network. In particular, it describes an algorithm for the K-terminal proble...
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This paper describes a class of networks called hierarchical networks and shows how reliability can be computed efficiently in a hierarchical network. In particular, it describes an algorithm for the K-terminal problem: computing the probability that a set of k nodes (k > 1) can communicate through the network. The algorithm complexity is polynomial with a small degree. The exact degree depends on the distribution of the nodes that desire to communicate and the external gateways.
The authors present a numerical method for determining a dynamic output feedback controller. Such a controller has the capability of stabilizing systems where static output feedback fails while being simpler in struct...
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The authors present a numerical method for determining a dynamic output feedback controller. Such a controller has the capability of stabilizing systems where static output feedback fails while being simpler in structure than the control based on the separation theorem, where one first designs the controller gains assuming the complete state can be measured and then uses the same gains with an estimated state. The procedure is extended to the problem of simultaneously stabilizing several plants by a single controller.
In this paper, a feedback control law based on the singular perturbation method is developed for three-dimensional minimum-time interception. Whereas the heading and flight-path angles are considered fast variables wi...
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In this paper, a feedback control law based on the singular perturbation method is developed for three-dimensional minimum-time interception. Whereas the heading and flight-path angles are considered fast variables with the same time scale, the relative position and the specific energy are considered slow variables. A zeroth-order optimal control algorithm is developed, and an extension to higher-order analysis is discussed. With the demonstrations of several numerical examples, it is shown that this time-scale separation is physically reasonable and results in a uniformly valid control law for long-, medium-, and short-range interception.
This paper presents a mathematical modeling and stochastic simulation study of a three-dimensional spherical joint, a design feature of importance to a class of deployable space structures. An analytical model of the ...
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This paper presents a mathematical modeling and stochastic simulation study of a three-dimensional spherical joint, a design feature of importance to a class of deployable space structures. An analytical model of the joint including friction and clearance effects is studied, and a system equation with time-variant coefficient matrices is then derived. A parametric study, including joint clearance size, joint rigidity/damping, and link elasticity/damping, of a jointed truss-cell model is investigated. The friction is assumed to be a normally distributed random variable and the external excitation is also treated random in a stochastic simulation study using an auto-regressive moving average (ARMA) model. This study shows that the joint dynamic contacts are affected by joint surface condition (stiffness/damping), joint clearance, link stiffness/damping, excitation, etc. Friction contacts dominate the system dynamics when the clearance is small and normal contacts dominate when the clearance is large.
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