NDLI: A Structural Approach to State-to-Output Decoupling

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Padula, Fabrizio Garone, Emanuele Ntogramatzidis, Lorenzo
Copyright Year	2018
Abstract	In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that if a certain mode appears in a given output, it is unobservable from any of the other output components. By combining classical geometric control results with the theory of combinatorics, we provide necessary and sufficient conditions for the solvability of this problem, herein referred to as state-to-output decoupling, under very mild assumptions. We propose solvability conditions expressed in terms of the dimensions of suitably defined controlled invariant subspaces of the system. In this way, the solvability of the problem can be evaluated a priori, in the sense that it is given in terms of the problem/system data. The proposed approach is constructive, so that when a controller that solves the problem indeed exists, it can be computed by using the machinery developed in this paper.
Sponsorship	Australian Research Council
Starting Page	3816
Ending Page	3847
Page Count	32
File Format	PDF
ISSN	03630129
DOI	10.1137/16M1105931
e-ISSN	10957138
Issue Number	5
Volume Number	56
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2018-10-23
Access Restriction	Subscribed
Subject Keyword	eigenstructure assignment Factorization of matrices Determinants, permanents, other special matrix functions state-to-output decoupling geometric control Matrix inversion, generalized inverses combinatorics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Applied Mathematics

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