ℋ2-optimal decentralized control over posets: A state space solution for state-feedback

@article{Shah20102optimalDC,
  title={ℋ2-optimal decentralized control over posets: A state space solution for state-feedback},
  author={Parikshit M. Shah and Pablo A. Parrilo},
  journal={49th IEEE Conference on Decision and Control (CDC)},
  year={2010},
  pages={6722-6727}
}
We develop a complete state-space solution to ℋ2-optimal decentralized control of poset-causal systems with state-feedback. Our solution is based on the exploitation of a key separability property of the problem, that enables an efficient computation of the optimal controller by solving a small number of uncoupled standard Riccati equations. Our approach gives important insight into the structure of optimal controllers, such as degree bounds that depend on the structure of the poset. A novel… CONTINUE READING

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