Formal Verification of Steady-State Errors in Unity-Feedback Control Systems
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چکیده
The meticulousness of steady-state error analysis of unityfeedback 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) pushpull DC-DC converter, which is an extensively used component in various power-electronics and aerospace applications.
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تاریخ انتشار 2014