An optimal impulsive control regulator for linear systems

Michael Basin; Pablo Rodriguez-Ramirez

doi:10.3934/naco.2011.1.275

Article Contents

2011, Volume 1, Issue 2: 275-282. Doi: 10.3934/naco.2011.1.275

This issue Previous Article Strict feasibility for generalized mixed variational inequality in reflexive Banach spaces Next Article Proximal point nonlinear rescaling method for convex optimization

An optimal impulsive control regulator for linear systems

Michael Basin^1, and
Pablo Rodriguez-Ramirez^2,

1.
Department of Physical and Mathematical Science, Autonomous University of Nuevo Leon, Apdo postal 144-F, C.P. 66450, San Nicolas de los Garza, Nuevo Leon
2.
Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, San Nicolas de los Garza, Nuevo Leon

Received: January 2011

Revised: March 2011

Published: May 2011

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Abstract

This paper addresses the optimal control problem for a linear system with respect to a Bolza-Meyer criterion, where both integral and non-integral terms are of the first degree. The optimal solution is obtained as an impulsive control, whereas the conventional linear feedback control fails to provide a causal solution. The theoretical result is complemented with illustrative examples verifying performance of the designed control algorithm in cases of large and short control horizons.

Keywords:

Optimal impulsive control,
linear systems.

Mathematics Subject Classification: 49N25.

Citation:

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References

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