Optimal closed-loop transfer functions for non-standard performance indices

Abstract

Multiple indices are available for measuring the performance of closed-loop systems, some of which are explored in the seminal work of Graham & Lathrop in 1953. In their paper, a determination is made of closed-loop transfer functions for optimal performance relative to the non-standard performance indices ITSE and ISTSE. A new approach is presented to calculate such metrics using Lyapunov matrix equations, and is validated by reproducing previous results.