Finite Zeros in Discrete Time Control Systems

• Κύριος συγγραφέας: Tokarzewski, Jerzy (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Lecture Notes in Control and Information Science, 338
• Θέματα: Engineering.; System theory.; Control engineering.; Robotics.; Mechatronics.; Control, Robotics, Mechatronics.; Systems Theory, Control.

 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. 

 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.