MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations

Abstract : We provide a theoretical framework for model predictive control of infinite-dimensional systems, like, e.g., nonlinear parabolic PDEs, including stochastic disturbances of the input signal, the output measurements, as well as initial states. The necessary theory for implementing the MPC step based on an LQG design for infinite-dimensional linear time-invariant systems is presented. We also briefly discuss the necessary ingredients for the numerical computations using the derived theory.
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Communication dans un congrès
Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.217-224, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_22〉
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Peter Benner, Sabine Hein. MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations. Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.217-224, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_22〉. 〈hal-01347540〉

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