Differential passivity like properties for a class of nonlinear systems

TL;DR

This paper introduces new passive maps similar to incremental passivity for nonlinear systems, enabling a control strategy for stabilization, demonstrated through a nonlinear HVAC subsystem example.

Contribution

It develops novel passive maps for nonlinear systems using dynamic feedback and Krasovskii's method, and applies them to control design.

Findings

New passive maps derived for nonlinear systems

Control methodology successfully stabilizes a nonlinear HVAC subsystem

Illustrative example demonstrates practical application

Abstract

In this paper, we derive new passive maps akin to incremental passive maps, for a class of nonlinear systems using dynamic feedback and Krasovskii's method. Further using the passive maps we present a control methodology for stabilization to a desired operating point. This work is illustrated by designing a controller for a nonlinear building heating ventilating and air conditioning (HVAC) subsystem.