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Global low-rank enhancement of decentralized control for large-scale systems

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2 Author(s)
Zecevic, A.I. ; Dept. of Electr. Eng., Santa Clara Univ., CA, USA ; Siljak, D.D.

This note proposes a new control strategy which is computationally attractive for systems of large dimensions. The main idea is to supplement decentralized feedback with a global additive term, which is computed as a product of two low-rank matrices. This feature is of critical importance for systems that cannot be adequately stabilized using standard decentralized control. The low-rank matrices can be efficiently obtained using linear matrix inequalities, and the resulting control is suitable for implementation in a multiprocessor environment. Simulations on a platoon of vehicles demonstrate that such a control can significantly improve the robustness of the closed-loop system with respect to uncertain nonlinearities.

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Automatic Control, IEEE Transactions on  (Volume:50 ,  Issue: 5 )