Optimal control of linear, stochastic systems with state and input constraints

Batina, Ivo and Stoorvogel, Anton A. and Weiland, Siep (2002) Optimal control of linear, stochastic systems with state and input constraints. In: 41st IEEE Conference on Decision and Control, 10-13 December 2002, Las Vegas, Nevada, USA.

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Abstract:	In this paper we extend the work presented in our previous papers (2001) where we considered optimal control of a linear, discrete time system subject to input constraints and stochastic disturbances. Here we basically look at the same problem but we additionally consider state constraints. We discuss several approaches for incorporating state constraints in a stochastic optimal control problem. We consider in particular a soft-constraint on the state constraints where constraint violation is punished by a hefty penalty in the cost function. Because of the stochastic nature of the problem, the penalty on the state constraint violation can not be made arbitrary high. We derive a condition on the growth of the state violation cost that has to be satisfied for the optimization problem to be solvable. This condition gives a link between the problem that we consider and the well known $H_\infty$ control problem.
Item Type:	Conference or Workshop Item
Copyright:	© 2002 IEEE
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/69045
Official URL:	http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1184742&isnumber=26567
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