Finite Zeros in Discrete Time Control Systems

• Main Author: Tokarzewski, Jerzy (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Control and Information Science, 338
• Subjects: Engineering.; System theory.; Control engineering.; Robotics.; Mechatronics.; Control, Robotics, Mechatronics.; Systems Theory, Control.
• Physical Description: IX, 324 p. 11 illus. online resource.
• ISBN: 9783540334651
• ISSN: 0170-8643 ;

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.