A New Method for Gain-Scheduled Output Feedback Controller Design Using Inexact Scheduling Parameters

Abstract

This paper tackles the design problem of Gain-Scheduled Output Feedback (GSOF) controllers for parametrically affine Linear Parameter-Varying (LPV) systems with inexactly provided scheduling parameters. This problem has been addressed in the last decade and several methods have already been proposed by introducing the over-bounding term for the discrepancy between the actual scheduling parameters and the provided ones. The introduced over-bounding term in literature is merely a sufficient condition for the original condition. To reduce the conservatism due to the sufficiency, we show a necessary and sufficient condition for over-bounding a Hermitian term via Elimination lemma, and apply it to GSOF controller design using inexact scheduling parameters. We address continuous-time as well as discrete-time cases. The effectiveness of our new method is well illustrated by continuous-time and discrete-time academic examples.