Stabilization of fixed modes in expansions of LTI systems |
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Authors: | Srdjan S Stankovi Dragoslav D iljak |
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Affiliation: | aFaculty of Electrical Engineering, University of Belgrade, Belgrade, Serbia;bSchool of Engineering, Santa Clara University, Santa Clara, CA, USA |
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Abstract: | The objective of this note is to propose a method for stabilization of structurally fixed modes in expansions of LTI dynamic systems in the scope of overlapping decentralized control design based on the expansion/contraction framework, enabling successful design for a broader class of problems than considered so far. The method is based on a judicious choice of complementary matrices in the expanded space. Numerical examples are provided to illustrate simplicity and efficiency of the proposed approach. |
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Keywords: | Inclusion principle Expansions of LTI systems Stabilization Decentralized overlapping control Controller contractibility |
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