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Toward a comprehensive impossibility result for string stability

Tijdschriftbijdrage - Tijdschriftartikel

We provide a comprehensive impossibility result toward achieving string stability, i.e., keeping local relative errors in check with local controllers independently of the size of a chain of subsystems. We significantly extend the existing results, from the linear time-invariant (LTI) setting to any homogeneous controllers that can be nonlinear, time varying, and locally communicating. We prove this impossibility for a set of definitions with various norm choices, including the L-2-type standard and a bounded-input implies bounded-output (BIBO) type criterion. All the results hold for a general discrete-time controller, which should cover most applications.
Tijdschrift: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN: 1558-2523
Issue: 4
Volume: 65
Pagina's: 1652 - 1659
Jaar van publicatie:2020
Toegankelijkheid:Closed