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Finite horizon minimax optimal control of stochastic partially observed time varying uncertain systems

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2 Author(s)
Ugrinovskii, V.A. ; Sch. of Electr. Eng., Australian Defence Force Acad., Canberra, ACT, Australia ; Petersen, I.R.

We consider a linear-quadratic problem of minimax optimal control for stochastic uncertain control systems with output measurement. Uncertainty in a system satisfies a stochastic integral quadratic constraint. To convert the constrained optimization problem into an unconstrained one, a special S-procedure is applied. The resulting unconstrained game-type optimization problem is then converted into a risk sensitive stochastic control problem with an exponential-of-integral cost functional. This is achieved via a certain duality relation between stochastic dynamic games and risk sensitive stochastic control. The solution of the risk sensitive stochastic control problem based on a pair of differential matrix Riccati equations is then used to establish a minimax optimal control law for the original uncertain system with uncertainty subject to the stochastic integral quadratic constraint

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:4 )

Date of Conference:

10-12 Dec 1997