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An approximate solution to the norm optimal control problem

DSpace at IIT Bombay

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Title An approximate solution to the norm optimal control problem
 
Creator CHAKRABORTY, D
SHAIKSHAVALI, C
 
Subject constrained controls
controllability
systems
norm-optimal control
bang-bang approximation
state constraints
 
Description The problem of finding the minimum input norm required to bring a dynamical system from an arbitrary initial state to a given end-point constraint set under specified state constraints, in a finite time interval, is considered. Even when there exists a control input which achieves the constraints, there may not be one with a minimum norm. For input-affine systems, it is shown that there is an admissible bang-bang control input whose norm is arbitrarily close to the minimum-norm. Since bang-bang functions are completely specified by their amplitude and switching times, the optimal norm can be numerically estimated by performing a finite dimensional search.
 
Publisher IEEE
 
Date 2011-10-24T16:22:42Z
2011-12-15T09:11:41Z
2011-10-24T16:22:42Z
2011-12-15T09:11:41Z
2009
 
Type Proceedings Paper
 
Identifier 2009 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2009), VOLS 1-9,4490-4495
978-1-4244-2793-2
1062-922X
http://dx.doi.org/10.1109/ICSMC.2009.5346907
http://dspace.library.iitb.ac.in/xmlui/handle/10054/15468
http://hdl.handle.net/100/2220
 
Source IEEE International Conference on Systems, Man and Cybernetics,San Antonio, TX,OCT 11-14, 2009
 
Language English