Generation of low-sensitivity state-space active filters

This paper investigates the use of the similarity tranformation in the generation of high-order state-space active filters having minimized sensitivities. A sensitivity performance measure similar to the Rosenblum-Ghausi multiparameter sensitivity figure is defined, and a frequency independent relationship between the sensitivity measures of equivalent systems is derived. The results of optimizing an all-pole bandpass filter and a low-pass elliptic filter are presented, along with a detailed analysis of some of the attributes of the optimized realizations. The paper then examines the possibility of simplifying these optimized systems while maintaining good sensitivity behavior, by slightly altering the systems about their optimized values.