µ-Interaction measure for unstable systems
by Vinay Kariwala, J. Fraser Forbes, Sigurd Skogestad
International Journal of Automation and Control (IJAAC), Vol. 1, No. 4, 2007

Abstract: In this paper, we present a method for system stabilisation through independent designs of the decentralised controller. The proposed method extends the practical applicability of the conventional µ interaction measure (µ-IM) to unstable systems. The decentralised controller is designed based on a block diagonal approximation that is different from the block diagonal elements, but has the same number of unstable poles as the system. By expressing the µ-IM in terms of the transfer matrix between the disturbances and inputs, we show that the block diagonal approximation can be suboptimally selected by minimising the scaled L distance between the system and the approximation. We present a numerical method for choosing the block diagonal approximation and a simple method for designing the decentralised controller based on the approximation.

Online publication date: Sun, 25-Nov-2007

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