Titlebook: Control Systems Synthesis; A Factorization Appr Mathukumalli Vidyasagar Book 2011 Springer Nature Switzerland AG 2011

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978-3-031-00700-2Springer Nature Switzerland AG 2011

刺穿

Proper Stable Rational Functions,is shown that this ring is a proper Euclidean domain, and the Euclidean division process is characterized. A topology is defined on this ring, and it is shown that the set of units is open. Certain generalizations of this ring are also discussed.

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Matrix Rings, develop the machinery that will enable us to tackle . systems. Accordingly, several problems are formulated and solved in the set of . over a commutative ring. These problems are posed in a fairly general setting so as to unify the controller synthesis techniques for continuous-time as well as discrete-time systems within a single framework.

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Introduction,btained using the so-called .. The central idea of this approach is to “factor” the transfer matrix of a (not necessarily stable) system as the “ratio” of stable matrices. This seemingly simple idea gives rise to an elegant methodology which leads in a simple and natural way to the resolution of sev

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Proper Stable Rational Functions,is shown that this ring is a proper Euclidean domain, and the Euclidean division process is characterized. A topology is defined on this ring, and it is shown that the set of units is open. Certain generalizations of this ring are also discussed.

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arsenal

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Book 2011his approach is to view the multi-input, multi-output (MIMO) plant for which one wishes to design a controller as a matrix over the fraction field F associated with a commutative ring with identity, denoted by R, which also has no divisors of zero. In this setting, the set of single-input, single-ou

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Introduction,eral important control problems. Moreover, the approach given here is very general, encompassing continuous-time as well as discrete-time systems, lumped as well as distributed systems, and one-dimensional as well as multidimensional systems, all within a single framework.