No abstract

Under a mild condition, we investigate the existence of a similarity transformation regarding robust 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. Index Terms-Bilinear matrix inequality (BMI), bounded real lemma (BRL), control, linear matrix inequality (LMI), Takagi-Sugeno (T-S) fuzzy model.

No abstract

No abstract

No abstract