Conditions for l∞ and l2 system robustness for spatially invariant systems

We consider spatiotemporal systems and study their l infin and I 2 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 perturbati...

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Bibliographic Details
Published in2007 46th IEEE Conference on Decision and Control pp. 836 - 841
Main Authors Sarwar, A., Voulgaris, P.G.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2007
Subjects
Control systems
Large scale integration
Robust control
Robust stability
Robustness
Spatiotemporal phenomena
Stability analysis
Sufficient conditions
Time varying systems
USA Councils
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Summary:We consider spatiotemporal systems and study their l infin and I 2 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 infin and I 2 case respectively) derived for standard linear time invariant models subject to linear time varying perturbations.
ISBN:9781424414970
1424414970
ISSN:0191-2216
DOI:10.1109/CDC.2007.4434803