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Approximate Decoupling of Multivariable Control Systems: A Time‐domain Approach
Author(s) -
Mao WeiJie,
Liu Shao
Publication year - 2005
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500130318
Subject(s) - decoupling (probability) , control theory (sociology) , invertible matrix , diagonal , diagonally dominant matrix , multivariable calculus , toolbox , time domain , lti system theory , mathematics , computer science , linear system , control (management) , control engineering , engineering , pure mathematics , mathematical analysis , artificial intelligence , computer vision , programming language , geometry
A new approximate decoupling method for linear time‐invariant systems based on the concept of energetic diagonal dominance is proposed in this paper. It is a time‐domain approach and the design procedure is simpler than that of frequency‐domain approach. The conditions for the energetic decoupling with simultaneous stabilizability are established in terms of linear matrix inequalities (LMIs). It is very convenient to solve this problem using the powerful LMI toolbox. The results are derived first for proper systems with nonsingular D, and then extended to strictly proper systems. Illustrative examples demonstrate that this method has satisfactory decoupling performance.