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Feedback norm minimisation with regional pole placement

DSpace at IIT Bombay

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Field Value
 
Title Feedback norm minimisation with regional pole placement
 
Creator DATTA, S
CHAKRABORTY, D
 
Subject linear systems
LMIs
convex optimisations
pole placement
STATE-FEEDBACK
LMI
ASSIGNMENT
CONTROLLER
DESIGN
 
Description This article proposes a convex algorithm for minimising an upper bound of the state feedback gain matrix norm with regional pole placement for linear time-invariant multi-input systems. The inherent non-convexity in this optimisation is resolved by a combination of two separate approaches: (1) an inner convex approximation of the polynomial matrix stability region due to Henrion and (2) a novel convex parameterisation of column reduced matrix fraction system representations. Using a sequence of approximations enabled by the above two methods, it is shown that the constraints on closed-loop poles (both pre-specified exact locations and regional placement) define linear matrix inequalities. Finally, the effectiveness of the proposed algorithm is compared with similar pole placement algorithms through numerical examples.
 
Publisher TAYLOR & FRANCIS LTD
 
Date 2014-12-28T11:43:28Z
2014-12-28T11:43:28Z
2014
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF CONTROL, 87(11)2239-2251
0020-7179
1366-5820
http://dx.doi.org/10.1080/00207179.2014.908476
http://dspace.library.iitb.ac.in/jspui/handle/100/16389
 
Language English