Performance optimization over positive l∞ cones

Mohammad Naghnaeian; Petros G. Voulgaris

doi:10.1109/ACC.2014.6859371

Performance optimization over positive l_∞ cones

Mohammad Naghnaeian, Petros G. Voulgaris

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we first consider the case where the input to a system is restricted to be in the positive cone of l_∞, denoted by l _∞⁺, and seek to characterize the system's induced norm from l_∞⁺ to l_∞. We obtain an exact characterization of this norm which is particularly easy to calculate in the case of LTI systems. Furthermore, we consider the model matching problem to show that time-varying linear or nonlinear control or filtering does not improve the performance with respect to this norm for LTI systems. In the second part of the paper, we consider the case when the output is forced to be in the positive l_∞ cone when the input is in this cone. We show if internal positivity is sought, a dynamic optimal controller offers no advantage over a static one.

Original language	English (US)
Title of host publication	2014 American Control Conference, ACC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5645-5650
Number of pages	6
ISBN (Print)	9781479932726
DOIs	https://doi.org/10.1109/ACC.2014.6859371
State	Published - 2014
Externally published	Yes
Event	2014 American Control Conference, ACC 2014 - Portland, OR, United States Duration: Jun 4 2014 → Jun 6 2014

Publication series

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

Other

Other	2014 American Control Conference, ACC 2014
Country/Territory	United States
City	Portland, OR
Period	6/4/14 → 6/6/14

Keywords

Linear systems
Observers for linear systems
Optimal control

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/ACC.2014.6859371

Library availability

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Cite this

Naghnaeian, M & Voulgaris, PG 2014, Performance optimization over positive l_∞ cones. in 2014 American Control Conference, ACC 2014., 6859371, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 5645-5650, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 6/4/14. https://doi.org/10.1109/ACC.2014.6859371

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