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Existence of Similarity Transformation Converting BMIs to LMIs

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2 Author(s)
Ji-Chang Lo ; Nat. Central Univ., Jhong-Li ; Min-Long Lin

Under a mild condition, we investigate the existence of a similarity transformation regarding robust Hinfin stability analysis and observer-controller synthesis problems. The observer-based controller is capable of disturbance-rejection in the presence of unknown but bounded disturbance. We present results, which illustrate plainly the role of the similarity transformation in converting a BMI problem into an LMI problem in a unified fashion applicable to both continuous- and discrete-time problems with or without uncertainty. Finally the validity and applicability of the approach are illuminated by examples.

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:15 ,  Issue: 5 )

Date of Publication:

Oct. 2007

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