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Computing the radius of controllability for state space systems

DSpace at IIT Bombay

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Title Computing the radius of controllability for state space systems
 
Creator KHARE, SR
PILLAI, HK
BELUR, MN
 
Subject Radius of controllability
Affinely structured matrices
Structured Low Rank Approximation (SLRA)
Structured Total Least Norm (STLN)
LOW-RANK APPROXIMATION
UNCONTROLLABILITY
DISTANCE
 
Description In this paper, we discuss the problem of computing the nearest uncontrollable system to a given control system represented by a matrix pair (A, B). In order to do so, we construct a sequence of structured matrices from given system matrices A and B. Controllability of the pair (A, B) is equivalent to a condition on the null-space dimension of an appropriate matrix in this sequence. We show that the dimension of the reachability space is also related to the above condition. Further, it is shown that the nearest Structured Low Rank Approximation (SLRA) of this structured matrix corresponds to a nearest uncontrollable system to the pair (A, B). (C) 2011 Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-10-16T06:34:08Z
2014-10-16T06:34:08Z
2012
 
Type Article
 
Identifier SYSTEMS & CONTROL LETTERS, 61(2)327-333
http://dx.doi.org/10.1016/j.sysconle.2011.11.012
http://dspace.library.iitb.ac.in/jspui/handle/100/15445
 
Language en