Time Domain Robustness Analysis for Linear Regulators

This paper addresses the aspect of Robustness of Linear Regulators in time domain. First a Stability Robustness condition in time domain (in terms of eigenvalues) is presented and it is shown that the proposed robustness condition is less conservative than i) the corresponding frequency domain condition and ii) another time domain condition recently proposed (in terms of singular values). Next a technique is presented to further reduce the conservatism of the proposed condition. Finally a design algorithm that incorporates both "Stability Robustness" and "Performance Robustness" into the design procedure is suggested and simple examples are presented to illustrate the proposed concepts.