H2 performance analysis of reset control systems

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Abstract

To overcome fundamental limitations of linear controllers, reset controllers were proposed in literature. Since the closed loop system including such a reset controller is of a hybrid nature, it is difficult to determine its performance. The focus in this paper is to determine the performance of a SISO reset control system in H2 sense. The method is generally applicable in the sense that it is valid for any proper LTI plant and linear-based reset controller. We derive convex optimization problems in terms of LMIs to compute an upperbound on the H2 norm, using dissipativity theory with piecewise quadratic Lyapunov functions. Finally, by means of a simple multiobjective tracking example, we show that reset control can outperform a linear controller obtained via a standard multiobjective control design method.
Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control (CDC 46), 12-14 December 2007, New Orleans, LA, USA
PublisherInstitute of Electrical and Electronics Engineers
Pages3278-3284
ISBN (Print)978-1-4244-1498-7
DOIs
Publication statusPublished - 2007

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