Conference Contribution

Minimax Team Decision Problems

Ather Gattami, Bo Bernhardsson


We consider the problem of distributed decision making in a quadratic game between a "team" of players and nature. Each player has limited information that could be different from the other players in the team. We show that if there is a solution to the minimax team problem, then the linear policies are optimal, and we show how to find the linear optimal solution by solving a linear matrix inequality. The result is used to solve the distributed H infinity control problem. It shows that the information structure restricted to exchange information with neighbours only, is enough to obtain a linear optimal feedback law.


Multiplayer minimax quadratic games, H infinity, distributed control

In 26th American Control Conference, New York, NY, USA, July 2007.

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