The Transformation Method between Simple Matrix of Jordan and its Algebra Equivalence System

Abstract:

Algebra Equivalent Observer (AEO) is a derivate due to the nonsingularity of state in linear system, and also an observer usually applied in practical engineering projects. For the rapid calculation of what the parameters of AEO having effect on control system. Taking great inertia system as object to analyze relationship between a simple matrix J of Jordan standard type and its algebra equivalent system called as matrix block JBS of Jordan standard type in broad sense. A simple calculation method of the transform matrix P is given, in which P is used in JBS=PJP–1. Some simple methods of design and debug to control system can be got during expanding the application scope of the method in process of parameters setting of the observer.

• Periodical: Advanced Materials Research (Volumes 616-618)
• Pages: 2117-2126
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.616-618.2117
• Online since: December 2012
• Authors: Zhong Xu Han, Ya Hong Chen
• Keywords: AEO, Great Inertia, Matrix of Jordan, Matrix Transform, Observer, State Feedback

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