Finite Zeros in Discrete Time Control Systems
By: Tokarzewski, Jerzy [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Lecture Notes in Control and Information Science: 338Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: IX, 324 p. 11 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540334651.Subject(s): Engineering | System theory | Control engineering | Robotics | Mechatronics | Engineering | Control, Robotics, Mechatronics | Systems Theory, ControlDDC classification: 629.8 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK9073 |
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.
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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