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Design of low order controllers satisfying sensitivity constraints for unstructured uncertain plants

The paper presents a simple analytically-based algorithm for the design of reduced order controllers satisfying frequency-dependent sensitivity specifications for SISO plants having unstructured uncertainty. The uncertainties can be additive as well as multiplicative, and can take the form of circles, polygons or sectors located around a nominal plant. Moreover, the circle radius and polygon and sector sizes may depend on the frequency. The proposed method is applicable to both continuous and discrete designs.