Global Tracking Passivity--based PI Control of Bilinear Systems and its Application to the Boost and Modular Multilevel Converters

TL;DR

This paper presents a passivity-based PI control method for bilinear systems with disturbances, ensuring global trajectory tracking, and demonstrates its effectiveness on power converters through experimental validation.

Contribution

It introduces a novel passivity-based PI control approach for bilinear systems with disturbances, applicable to power converters, with proven global tracking guarantees.

Findings

Successful application to boost and modular multilevel converters

Experimental validation confirms effectiveness

Ensures global trajectory tracking with simple PI controllers

Abstract

This paper deals with the problem of trajectory tracking of a class of bilinear systems with time--varying measurable disturbance. A set of matrices {A,B_i} has been identified, via a linear matrix inequality, for which it is possible to ensure global tracking of (admissible, differentiable) trajectories with a simple linear time--varying PI controller. Instrumental to establish the result is the construction of an output signal with respect to which the incremental model is passive. The result is applied to the boost and the modular multilevel converter for which experimental results are given.