Finite Zeros in Discrete Time Control Systems

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 o...

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Bibliographic Details
Main Author: Tokarzewski, Jerzy
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
Edition:1st ed. 2006
Series:Lecture Notes in Control and Information Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Finite Zeros in Discrete Time Control Systems  |h Elektronische Ressource  |c by Jerzy Tokarzewski 
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505 0 |a Zeros and the Output-Zeroing Problem -- A General Solution to the Output-Zeroing Problem -- The Moore-Penrose Inverse of the First Markov Parameter -- Singular Value Decomposition of the First Markov Parameter -- Output-Nulling Subspaces in Strictly Proper Systems -- Output-Nulling Subspaces in Proper Systems -- Singular Systems 
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653 |a Control theory 
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653 |a Control engineering 
653 |a Robotics 
653 |a Automation 
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520 |a 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