Abstract

Positive systems represent a class of systems whose state variables are nonnegative. This paper presents an L1 adaptive controller for such systems. The control objective is to force the system output track a given nonnegative reference signal. In the analysis of the L1 adaptive controller, we first show the positivity of the constructed reference system, and then demonstrate that the controlled system states track those of the reference system. We provide the uniform transient and steady-state performance bounds on the system state and the control signals, which can be systematically improved by increasing the adaptation rate, under the assumption that the unknown system parameters are positive. Simulations are presented to corroborate our results.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
Pages13-18
Number of pages6
StatePublished - Sep 29 2011
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: Jun 29 2011Jul 1 2011

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA
Period6/29/117/1/11

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Sun, H., Zhu, Q., Hovakimyan, N., & Basar, M. T. (2011). L1 adaptive control for positive LTI systems. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 13-18). [5991472] (Proceedings of the American Control Conference).