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Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback

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Abstract

The problem of robust guaranteed cost decentralized stabilization for uncertain discrete large-scale systems with delays is investigated in this paper. Sufficient conditions for the existence of the robust guaranteed cost decentralized controllers via memoryless state feedback and static output feedback are expressed as BMIs. Furthermore, alternate iterative algorithms are proposed to solve the feasible problems with BMI constrains. Numerical examples are given to illustrate effectiveness of the proposed methods.

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Acknowledgements

This work is supported by the National Natural Science Foundation of P.R. China (60774045, 61075065, U1134108).

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410004, China

    Xiaohong Nian, Zhaomei Sun & Xia Wang

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  1. Xiaohong Nian
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  2. Zhaomei Sun
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  3. Xia Wang
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Correspondence to Zhaomei Sun.

Additional information

Communicated by Francesco Zirilli.

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Nian, X., Sun, Z. & Wang, X. Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback. J Optim Theory Appl 155, 694–706 (2012). https://doi.org/10.1007/s10957-012-0087-5

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  • DOI: https://doi.org/10.1007/s10957-012-0087-5

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