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Resilient Decentralized Stabilization for Interconnected Discrete-Time Systems

Author

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  • Magdi S. Mahmoud

    (King Fahd University of Petroleum and Minerals)

Abstract

The robust decentralized feedback stabilization problem of a class of nonlinear interconnected discrete-time systems is considered. This class of systems has uncertain nonlinear perturbations satisfying quadratic constraints that are functions of the overall state vector. Decentralized state and output feedback schemes are proposed and analyzed such that the overall closed-loop system guarantees global stability condition, derived in terms of local subsystem variables. Incorporating feedback gain perturbations, new resilient decentralized feedback schemes are subsequently developed. The proposed approach is formulated within the framework of convex optimization over LMIs. Simulation results illustrate the effectiveness of the proposed decentralized output-feedback controllers.

Suggested Citation

  • Magdi S. Mahmoud, 2010. "Resilient Decentralized Stabilization for Interconnected Discrete-Time Systems," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 507-525, June.
    • Handle: RePEc:spr:joptap:v:145:y:2010:i:3:d:10.1007_s10957-010-9692-3
    DOI: 10.1007/s10957-010-9692-3
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    Cited by:

    1. Y. Y. Wang & P. F. Zhou & Q. B. Wang & D. P. Duan, 2014. "State Estimation and Reliable Control of Singular Markovian Systems with Distributed State Delays and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 162(1), pages 313-328, July.

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