Optimal Memoryless Regulator of Large Scale Systems with Time-Delays in the Interconnections and the States via Decentralized Control

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  • Matsuki Tsuyoshi
    Graduate School of Advanced Technology and Science, The University of Tokushima
  • Kubo Tomohiro
    Institute of Technology and Science, The University of Tokushima

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  • 結合と状態にむだ時間を含む大規模システムにおける分散制御による最適メモリーレスレギュレータ
  • ケツゴウ ト ジョウタイ ニ ムダ ジカン オ フクム ダイキボ システム ニ オケル ブンサン セイギョ ニ ヨル サイテキ メモリーレス レギュレータ
  • Optimal memoryless regulator of large‐scale systems with time delays in the interconnections and the states via decentralized control

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A method to construct optimal memoryless regulators of large scale systems with time-delays in the interconnections and the states is proposed. Each feedback gain of decentralized control laws is obtained directly from solutions of simultaneous linear matrix inequalities. Firstly, a sufficient condition for the stability of the overall closed loop system is presented. Then it is extended so that the overall system and each subsystem remain to be stable, even if all or some of interconnections between subsystems are cut. Lastly, a simplification of the implementation is discussed in perspective of a feedback loop reduction.

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