Establishment of Strictly Positive Real Condition for Tuning MIMO Feedforward Control

The two-degree-of-freedom structure enables us to achieve stabilization and tracking independently using feedback (FB) and feedforward (FF) controls, respectively. The latter usually undergoes a model uncertainty, which is resolved by online tuning. A tuning law guarantees zero convergence of the ou...

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Veröffentlicht in:IEEE control systems letters 2022, Vol.6, p.1454-1459
Hauptverfasser: Sugimoto, Kenji, Imahayashi, Wataru
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description The two-degree-of-freedom structure enables us to achieve stabilization and tracking independently using feedback (FB) and feedforward (FF) controls, respectively. The latter usually undergoes a model uncertainty, which is resolved by online tuning. A tuning law guarantees zero convergence of the output error for any target signals, under a certain strictly positive real (SPR) condition; however, it is noticeably restrictive. This study proposes a method for guaranteeing the SPR condition by designing an FF filter and modifying the error signal for tuning in the multi-input multi-output case. The proposed method is illustrated through a numerical example.
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subjects Adaptive control
Linear matrix inequalities
LMIs
MIMO communication
Nickel
robust control
Stability criteria
stability of nonlinear systems
Target tracking
Tuning
title Establishment of Strictly Positive Real Condition for Tuning MIMO Feedforward Control
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