Journal ArticleDOI
A robust conjugate-gradient algorithm which minimizes L-functions
Edward J. Davison,P Wong +1 more
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TLDR
A new conjugate-gradient algorithm which minimizes a function of n variables is given, and based on these experiments, the new algorithm appears to be more robust than Powell's, Fletcher-Powell's, and Jacobson-Oksman's methods, faster than Rosenbrock's method, and especially effective on high dimensional problems.About:
This article is published in Automatica.The article was published on 1975-05-01. It has received 24 citations till now. The article focuses on the topics: Conjugate gradient method & Quadratic function.read more
Citations
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Proceedings ArticleDOI
The design of controllers for the multivariable robust servomechanism problem using parameter optimization methods
TL;DR: The problem of designing realistic multivariable controllers to solve the servomechanism problem is considered and the controllers obtained have been highly competitive (i.e. always superior) with controllers obtained by alternate design methods.
Journal ArticleDOI
Conic Approximations and Collinear Scalings for Optimizers
TL;DR: A generalization from quadratic to conic approximations, defined as ratios of quadratics whose denominators are squares, can better match the values and gradients of typical objective functions, and hence give better estimates for their minimizers.
Proceedings ArticleDOI
The optimal decentralized control of a large power system: Load and frequency control
Edward J. Davison,N. Tripathi +1 more
TL;DR: The load and frequency control of a three-area interconnected power system consisting of 9 synchronous machines and a minimum order robust decentralized controller which solves this problem, and also the general multi-area load and Frequency control problem, is obtained.
Journal ArticleDOI
Paper: Sequential stability and optimization of large scale decentralized systems
Edward J. Davison,W. Gesing +1 more
TL;DR: The notion of sequential stability in the synthesis of decentralized control for large scale systems is introduced in this paper and applications are made to the synthesisation of centralized multivariable controllers and to the decentralized robust control of unknown systems.
Journal ArticleDOI
An algorithm for the optimal design of passive vibration controllers for flexible systems
TL;DR: In this paper, a gradient algorithm is developed for the optimal design of discrete passive dampers in the vibration control of a class of flexible (distributed parameter) systems, which systematically seeks to make the modal damping and natural frequencies of the system reach a set of preassigned values.
References
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Journal ArticleDOI
A Rapidly Convergent Descent Method for Minimization
Roger Fletcher,M. J. D. Powell +1 more
TL;DR: A number of theorems are proved to show that it always converges and that it converges rapidly, and this method has been used to solve a system of one hundred non-linear simultaneous equations.
Journal ArticleDOI
An efficient method for finding the minimum of a function of several variables without calculating derivatives
Journal ArticleDOI
An Automatic Method for Finding the Greatest or Least Value of a Function
Book
Algorithms for Minimization Without Derivatives
TL;DR: In this paper, a monograph describes and analyzes some practical methods for finding approximate zeros and minima of functions, and some of these methods can be used to find approximate minima as well.
Journal ArticleDOI
Function Minimization Without Evaluating Derivatives—a Review
TL;DR: The problem of minimizing a function/(x) of n variables x = (xu x2, • • • xn) from a given approximation to the minimum XQ, has received considerable attention in recent years and two separate problems can be distinguished.