Conditions for l∞ and l2 System Robustness for Spatially Invariant Systems

Azeem Sarwar; Petros G. Voulgaris

doi:10.1109/CDC.2007.4434803

Conditions for l_∞ and l₂ System Robustness for Spatially Invariant Systems

Azeem Sarwar, Petros G. Voulgaris

Aerospace Engineering

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

Abstract

We consider spatiotemporal systems and study their l_∞ and l₂ robustness properties in the presence of spatiotemporal perturbations. In particular, we consider spatially invariant nominal models and provide necessary and sufficient conditions for system robustness when the underlying perturbations are linear time and spatially varying, unstructured and structured. It turns out that these conditions are analogous to the scaled small gain condition (which is equivalent to a spectral radius condition and an LMI for the l_∞ and l₂ case respectively) derived for standard linear time invariant models subject to linear time varying perturbations.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	836-841
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434803
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2007.4434803

Library availability

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Cite this

Sarwar, A., & Voulgaris, P. G. (2007). Conditions for l_∞ and l₂ System Robustness for Spatially Invariant Systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 836-841). Article 4434803 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434803

Conditions for l_∞ and l₂ System Robustness for Spatially Invariant Systems. / Sarwar, Azeem; Voulgaris, Petros G.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 836-841 4434803 (Proceedings of the IEEE Conference on Decision and Control).

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

Sarwar, A & Voulgaris, PG 2007, Conditions for l_∞ and l₂ System Robustness for Spatially Invariant Systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434803, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 836-841, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434803

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