Reference : On the classical solution to the linear-constrained minimum energy problem
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/3824
On the classical solution to the linear-constrained minimum energy problem
English
Schiltz, Jang mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Luxembourg School of Finance (LSF) >]
Boissaux, Marc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Luxembourg School of Finance (LSF) >]
2012
International Journal of Control
Taylor & Francis Ltd
1
143-146
Yes (verified by ORBilu)
International
0020-7179
[en] optimal control ; minimum energy problem ; quadratic cost function ; control constraints
[en] Minimum energy problems involving linear systems with quadratic performance criteria are classical in optimal
control theory. The case where controls are constrained is discussed in Athans and Falb (1966) [Athans, M. and
Falb, P.L. (1966), Optimal Control: An Introduction to the Theory and Its Applications, New York: McGraw-Hill
Book Co.] who obtain a componentwise optimal control expression involving a saturation function expression.
We show why the given expression is not generally optimal in the case where the dimension of the control is
greater than one and provide a numerical counterexample.
http://hdl.handle.net/10993/3824

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