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Design Of The State Observer With D-Stability For Uncertain Symmetric Circulant Composite Systems

Author

Listed:
  • MAN LIU

    (Faculty of Mathematics, Dalian Nationalities University, Dalian, 116600, China)

  • YOU ZHANG

    (Faculty of Information Science and Engineering, Northeastern University, Shenyang, 110004, China)

  • YUAN-WEI JING

    (Faculty of Information Science and Engineering, Northeastern University, Shenyang, 110004, China)

  • SI-YING ZHANG

    (Faculty of Information Science and Engineering, Northeastern University, Shenyang, 110004, China)

Abstract

The design of the state observer for a kind of uncertain symmetric circulant composite systems based on regional pole assignment is studied. The "decentralized observer gain matrices" have been obtained by taking use of the special structure of the system. The central observer gain matrix for such a system has the same block symmetric circulant structure as the original system and can be constructed by the "decentralized observer gain matrices." Thus, the problem of designing state observer for such an uncertain system withn·Ndimensions based on regional pole assignment can be transformed into the subproblems forN/2+1or(N + 1)/2uncertain systems withndimensions. The central D-stabilizable state observer is also a symmetric circulant composite system. And the design of the observer makes best use of the advantage of interconnections of the system.

Suggested Citation

  • Man Liu & You Zhang & Yuan-Wei Jing & Si-Ying Zhang, 2005. "Design Of The State Observer With D-Stability For Uncertain Symmetric Circulant Composite Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 8(02n03), pages 193-208.
    • Handle: RePEc:wsi:acsxxx:v:08:y:2005:i:02n03:n:s0219525905000464
    DOI: 10.1142/S0219525905000464
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