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Impact of packet dropouts on the performance of optimal controllers and observers

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Document pages: 11 pages

Abstract: We investigate the impact of packet dropouts due to non-idealities incommunication networks on the performance of optimally derived controllers andobservers in a minimax sense. These packet dropouts are modeled by discreteconstrained switching signals via directed graphs. We consider time optimalcontrol and estimation, minimum energy and fuel optimization and LQR problemsfor systems subject to packet dropouts which turn out to be combinatorial; andcompute algorithmically the worst case performance of these optimizationproblems. To reduce the computational burden in solving these combinatorialproblems, a partial order is imposed on the switching signals. Validation ofthe proposed methods is done over a set of randomly generated systems. Finally,by associating the worst case performance for each optimal control problem tothe underlying network, one can optimize among the set of availablecommunication networks.

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