Abstract
The meticulousness of steady-state error analysis of unity-feedback control systems has always been of vital significance as even a trifling glitch in this analysis may result in grievous penalties. To ensure a rigorous steady-state error analysis, this paper presents the formal verification of a generic relationship that is applicable to all kinds of inputs and types of unity-feedback control systems. This formalization builds upon the multivariate calculus theories of HOL-Light and our prior work on developing formal models of feedback control systems. To illustrate the usefulness of this result, the paper presents the formal steady-state error analysis of a Pulse Width Modulation (PWM) push-pull DC-DC converter, which is an extensively used component in various power-electronics and aerospace applications.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
