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Finite Zeros in Discrete Time Control Systems

Finite Zeros in Discrete Time Control Systems

Paperback

Series: Lecture Notes in Control and Information Sciences, Book 338

Technology & EngineeringGeneral Mathematics

ISBN10: 3540334645
ISBN13: 9783540334644
Publisher: Springer Nature
Published: Jun 19 2006
Pages: 324
Weight: 1.05
Height: 0.71 Width: 6.14 Depth: 9.21
Language: English

A state space approach to the analysis of zeros of MIMO LTI discrete-time systems is presented. The basic mathematical tools used in this analysis are the Moore-Penrose pseudoinverse and singular value decomposition of the first nonzero Markov parameter of a system. The book starts with definition of invariant zeros and goes as far as a general characterization of output-zeroing inputs and the corresponding solutions, explicit formulas for maximal output-nulling invariant subspaces and for the zero dynamics. The objective of this book is to render the reader familiar with a certain method of analysis of multivariable zeros (which goes beyond the classical approach) and related problems. The minimal mathematical background that is required from the reader is a working knowledge of linear algebra and difference equations. The reader should be familiar with the basic concepts of linear system theory.

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