On the design of linear multivariable feedback systems via constrained nondifferentiable optimization in Hinfinity spaces

TitleOn the design of linear multivariable feedback systems via constrained nondifferentiable optimization in Hinfinity spaces
Publication TypeJournal Article
Year of Publication1989
AuthorsPolak, E., and S. E. Salcudean
JournalAutomatic Control, IEEE Transactions on
Volume34
Pagination268 - 276
Date Publishedmar.
ISSN0018-9286
Keywordscontrol system synthesis, design, feedback, frequency domain analysis, frequency-domain analysis, linear multivariable feedback systems, Lipschitz continuous functions, multivariable control systems, optimisation, optimization, time invariant systems, time-domain analysis, time-domain performance
Abstract

The design discussed is of linear, lumped, time-invariant, multivariable feedback systems, subject to various frequency and time-domain performance specifications. The approach is based on the use of stabilizing controller parametrizations which result in the formulation of feedback system design problems as convex, nondifferentiable optimization problems. These problems are solvable by recently developed nondifferentiable optimization algorithms for the constrained minimization of regular, uniformly locally Lipschitz continuous functions in RN.

URLhttp://dx.doi.org/10.1109/9.16416
DOI10.1109/9.16416

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