Controlling Unknown Saddle Type Steady States of Dynamical Systems with Latency in the Feedback Loop

Arunas Tamasevicius; Skaidra Bumeliene; Elena Tamaseviciute; Gytis Mykolaitis; Raimundas Kirvaitis; Erik Lindberg

Controlling Unknown Saddle Type Steady States of Dynamical Systems with Latency in the Feedback Loop

Arunas Tamasevicius, Skaidra Bumeliene, Elena Tamaseviciute, Gytis Mykolaitis, Raimundas Kirvaitis, Erik Lindberg

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

We suggest an adaptive control technique for stabilizing saddle type unstable steady states of dynamical systems. The controller is composed of an unstable and a stable high-pass filters operating in parallel. The mathematical model is considered analytically and numerically. The conjoint controller is sufficiently robust to time latencies in the feedback loop. In addition, it is not sensitive to the damping parameters of the system and is relatively fast. Experiments have been performed using a simplified version of the electronic Young-Silva circuit imitating behavior of the Duffing-Holmes double-well oscillator.

Original language	English
Title of host publication	Proceedings of the 2009 International Symposium on Nonlinear Theory and its Applications (NOLTA’09)
Publication date	2009
Pages	70-73
ISBN (Print)	978-4-88552-241-3
Publication status	Published - 2009
Event	NOLTA'09 - Sapporo, Japan Duration: 1 Jan 2009 → …

Conference

Conference	NOLTA'09
City	Sapporo, Japan
Period	01/01/2009 → …

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title = "Controlling Unknown Saddle Type Steady States of Dynamical Systems with Latency in the Feedback Loop",

abstract = "We suggest an adaptive control technique for stabilizing saddle type unstable steady states of dynamical systems. The controller is composed of an unstable and a stable high-pass filters operating in parallel. The mathematical model is considered analytically and numerically. The conjoint controller is sufficiently robust to time latencies in the feedback loop. In addition, it is not sensitive to the damping parameters of the system and is relatively fast. Experiments have been performed using a simplified version of the electronic Young-Silva circuit imitating behavior of the Duffing-Holmes double-well oscillator.",

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Controlling Unknown Saddle Type Steady States of Dynamical Systems with Latency in the Feedback Loop. / Tamasevicius, Arunas; Bumeliene, Skaidra; Tamaseviciute, Elena et al.
Proceedings of the 2009 International Symposium on Nonlinear Theory and its Applications (NOLTA’09). 2009. p. 70-73.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - Controlling Unknown Saddle Type Steady States of Dynamical Systems with Latency in the Feedback Loop

AU - Tamasevicius, Arunas

AU - Bumeliene, Skaidra

AU - Tamaseviciute, Elena

AU - Mykolaitis, Gytis

AU - Kirvaitis, Raimundas

AU - Lindberg, Erik

PY - 2009

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N2 - We suggest an adaptive control technique for stabilizing saddle type unstable steady states of dynamical systems. The controller is composed of an unstable and a stable high-pass filters operating in parallel. The mathematical model is considered analytically and numerically. The conjoint controller is sufficiently robust to time latencies in the feedback loop. In addition, it is not sensitive to the damping parameters of the system and is relatively fast. Experiments have been performed using a simplified version of the electronic Young-Silva circuit imitating behavior of the Duffing-Holmes double-well oscillator.

AB - We suggest an adaptive control technique for stabilizing saddle type unstable steady states of dynamical systems. The controller is composed of an unstable and a stable high-pass filters operating in parallel. The mathematical model is considered analytically and numerically. The conjoint controller is sufficiently robust to time latencies in the feedback loop. In addition, it is not sensitive to the damping parameters of the system and is relatively fast. Experiments have been performed using a simplified version of the electronic Young-Silva circuit imitating behavior of the Duffing-Holmes double-well oscillator.

M3 - Article in proceedings

SN - 978-4-88552-241-3

SP - 70

EP - 73

BT - Proceedings of the 2009 International Symposium on Nonlinear Theory and its Applications (NOLTA’09)

T2 - NOLTA'09

Y2 - 1 January 2009

ER -

Controlling Unknown Saddle Type Steady States of Dynamical Systems with Latency in the Feedback Loop

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