Decentralized H-infinity Controller Design: An LMI Approach

Shinichi Murao; Guisheng Zhai; Masao Ikeda; Kenzou Tamaoki

doi:10.11499/sicep.2002.0.570.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.570.0

会議情報

主催: The Society of Instrument and Control Engineers

共催: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Decentralized H-infinity Controller Design:

An LMI Approach

Shinichi Murao, Guisheng Zhai, Masao Ikeda, Kenzou Tamaoki

著者情報

キーワード: Decentralized control, H_∞ control, dynamic output feedback, bilinear matrix inequality (BMI), linear matrix inequality (LMI)

会議録・要旨集フリー

p. 570

詳細

抄録

This paper considers decentralized H_∞ controller design problems for multi-channel linear time-invariant systems. Our interest is focused on dynamic output feedback, and our discussion concerns both continuous-time systems and discrete-time ones. The decentralized H_∞ control problems are expressed as feasibility problems of bilinear matrix inequalities (BMIs) with respect to variables of a coefficient matrix defining the controller and a Lyapunov matrix. To deal with the BMIs, we propose to set the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller so that the BMIs are reduced to linear matrix inequalities (LMIs) which are sufficient to the BMIs but much more tractable.

責任著者(Corresponding author)

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