The problem of determining a shaping filter which minimized the output roundoff-noise variance is discussed. It is shown that in the family of shaping filters of an identical McMillan degree having an identical power ...
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The problem of determining a shaping filter which minimized the output roundoff-noise variance is discussed. It is shown that in the family of shaping filters of an identical McMillan degree having an identical power spectrum, the shaping filter of minimum phase attains a minimum output roundoff-noise variance in either the case of optimal word lengths or the case of equal word lengths. It is shown out by examples that this is not valid in the family of shaping filters having an identical power spectrum and different McMillan degrees.
Two linear programming (LP) algorithms for the integrated state estimation (ISE) for the whole system are formulated and tested. It was found that a direct application of an ISE on a large power system suffers certain...
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Two linear programming (LP) algorithms for the integrated state estimation (ISE) for the whole system are formulated and tested. It was found that a direct application of an ISE on a large power system suffers certain limitations. This paper presents an efficient and reliable two-level state estimator (TLSE) based on LP techniques. Both the ISE and the proposed TLSE were tested under different conditions. The results are discussed and comparisons are given which show that the TLSE has many advantages over the ISE.
An on-line scheme to fault detection in adaptive control systems is proposed by introducing Kullbaek Discrimination Information (KDI) as a detection index. When a physical parameter change due to a failure has occurre...
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An on-line scheme to fault detection in adaptive control systems is proposed by introducing Kullbaek Discrimination Information (KDI) as a detection index. When a physical parameter change due to a failure has occurred in a system under adaptive control, the failure effect will hardly be visible in the output performance because of the adaptation mechanism. Such a parameter change is also difficult to detect by monitoring the regulator parameters, which are determined by a recursive identification based on the direct approach. Since the failure effect is reflected as a change in the predictor model used for the adaptive control design, the fault detection leads to a model discrimination problem. It has been shown that the KDI can be used as an effective distortion measure for the model discrimination and the index can be applied in a modified form to detect a fault on-line. Simulation studies on a second order damped oscillatory system have been carried out to demonstrate the efficiency of the method.
A sufficient condition is derived for the existence of an output constant gain feedback controller which stabilizes a single-input single-output dynamical system with a linear nominal part and matched uncertainties. T...
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A sufficient condition is derived for the existence of an output constant gain feedback controller which stabilizes a single-input single-output dynamical system with a linear nominal part and matched uncertainties. The sufficient condition is significantly less restrictive than a recently derived one [1]. If such a controller exists, it may readily be computed.
Many design problems, including control design problems, involve infinite dimensional constraints. Recent algorithms for solving design problems having such constraints are summarized.
Many design problems, including control design problems, involve infinite dimensional constraints. Recent algorithms for solving design problems having such constraints are summarized.
In this paper the singular optimal control problem of linear discrete-time system with fixed end points and free final time is investigated. Expression for the optimal control is obtained by changing the problem to a ...
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In this paper the singular optimal control problem of linear discrete-time system with fixed end points and free final time is investigated. Expression for the optimal control is obtained by changing the problem to a minimum norm problem with linear constraints and applying some appropriate theorems. Existence, uniqueness, and optimality are proven. Iterative relationships to compute the main matrix in the optimal control expression are given. In order to simplify and reduce the computations a significant suboptimal control is described. It is shown that the suboptimal control aproaches the system to the final desired state each time of its application, moreover, it is gauranteed to reach the final state in finite steps.
We present an algorithm for solving singular value inequalities over a continuum of frequencies. The algorithm is in two parts: a master algorithm which constructs an infinite sequence of finite sets of inequalities a...
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We present an algorithm for solving singular value inequalities over a continuum of frequencies. The algorithm is in two parts: a master algorithm which constructs an infinite sequence of finite sets of inequalities and a nondifferentiable optimization subalgorithm which solves these finite sets of inequalities.
The design problem of choosing a set of parameters so that inequality constraints are satisfied for a specified variation of parameter values about their nominal value, is considered. Such problems occur when systems ...
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The design problem of choosing a set of parameters so that inequality constraints are satisfied for a specified variation of parameter values about their nominal value, is considered. Such problems occur when systems must be synthesized from components whose values are only known to a certain tolerance. Simple algorithms exist for such problems when the constraints are convex. This paper presents an algorithm which is valid for the non-convex case, The algorithm utilizes concepts employed by Eaves and Zangwill in their generalized cutting plane algorithms.
This paper shows how the design of feedback controllers for nonlinear systems may be formulated as an optimization problem with infinite dimensional constraints for which known algorithms may be employed. An important...
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This paper shows how the design of feedback controllers for nonlinear systems may be formulated as an optimization problem with infinite dimensional constraints for which known algorithms may be employed. An important aspect is a method for reducing the time interval, required to insure stability, to a finite value.
Many design problems, including control design problems, involve infinite dimensional constraints of the form ϕ(z, α) ≤ 0 for all α ε A where α denotes time or frequency or a parameter vector. In other design pro...
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Many design problems, including control design problems, involve infinite dimensional constraints of the form ϕ(z, α) ≤ 0 for all α ε A where α denotes time or frequency or a parameter vector. In other design problems, tuning or trimming of certain parameters, after manufacture of the system, is permitted; the corresponding constraint is that for each α in A there exists a value τ (of the tuning parameter) in a permissible set T such that φ(z,α,t) < 0. New algorithms for solving design problems having such constraints are described.
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