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Operator-based non-linear vibration control system design of a flexible arm with piezoelectric actuator

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TLDR
In this paper, an operator-based non-linear vibration control of a flexible arm experimental system with uncertainties using robust right coprime factorisation is considered, and robust stability of the closed-loop system with unconsidered vibration modes as uncertainties is guaranteed and desired vibration control performance actuated by piezoelectric element is ensured.
Abstract
Most real plants must deal with some non-linear characteristics. For the non-linear plants, design of non-linear control system using operator-based robust right coprime factorisation is considered. The considered non-linear control system applications show the desired results. In this paper, operator-based non-linear vibration control of a flexible arm experimental system with uncertainties using robust right coprime factorisation is considered. In general, the vibrations by the characteristic vibration mode include from one to infinite order vibration modes and appear on the arm vibration. It is difficult to consider all vibration modes. Consequently, based on the concept of Lipschitz operators and robust right coprime factorisation condition, robust stability of the closed-loop system with unconsidered vibration modes as uncertainties is guaranteed, and desired vibration control performance actuated by piezoelectric element is ensured. Finally, simulation and experimental results are presented to support the effectiveness of the proposed design.

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Citations
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Journal ArticleDOI

Operator-based robust control for nonlinear systems with Prandtl-Ishlinskii hysteresis

TL;DR: An operator-based robust control method for nonlinear systems with Prandtl–Ishlinskii (PI) hysteresis is presented and a tracking operator design method is given to ensure the control system output-tracking performance under the existence of the disturbance part.
Journal ArticleDOI

Operator-based robust nonlinear control system design for MIMO nonlinear plants with unknown coupling effects

TL;DR: Using operator-based robust nonlinear control design, coupling effects existing in the MIMO nonlinear plants can be decoupled based on a feedback design and robust right coprime factorisation approach, and the coupling effects caused by controllers and plant outputs can be stabilised by using definition of Lipschitz operator and contraction mapping theorem.
Journal ArticleDOI

Operator-Based Robust Nonlinear Control for a Peltier Actuated Process

TL;DR: A robust nonlinear control technology is presented for an aluminum plate thermal process with the Peltier device by using operator-based robust right coprime factorization approach in this paper.
Journal ArticleDOI

Operator-based robust control design for nonlinear plants with perturbation

TL;DR: In this article, operator-based robust control design for nonlinear plants with perturbation is considered by using robust right coprime factorisation approach, and a control design structure is proposed.
Journal ArticleDOI

Operator-based experimental studies on nonlinear vibration control for an aircraft vertical tail with considering low-order modes:

TL;DR: In this paper, a robust nonlinear control design using an operator-based robust right coprime factorization approach is considered for vibration control on an aircraft vertical tail with piezoelectric elements.
References
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Journal ArticleDOI

Operator-based nonlinear feedback control design using robust right coprime factorization

TL;DR: A new condition of robust right coprime factorization of non linear systems with unknown bounded perturbations is derived, and a broader class of nonlinear plants can be controlled robustly.
Journal ArticleDOI

Fault detection in a thermal process control system with input constraints using a robust right coprime factorization approach

TL;DR: In this article, a fault detection method in an uncertain aluminium plate thermal process control system with input constraints is presented, which is based on a robust right coprime factorization algorithm.
Journal ArticleDOI

Stable robust feedback control system design for unstable plants with input constraints using robust right coprime factorization

TL;DR: In this paper, a stable robust control system design problem for unstable plants with input constraints is considered using robust right coprime factorization of nonlinear operator, and a design scheme of robust non-hyphen-linear control system is given.
Journal ArticleDOI

Adaptive vibration control of flexible structure with unknown and unmeasurable disturbances

TL;DR: In this article, an adaptive compensator by piezoelectric elements is proposed to cancel the vibration effect in real robotic systems, when external disturbances (forces and including gravity of the robot) are applied, the vibration effects due to the inherent elastic deformation has to be taken into account in some cases.
Journal ArticleDOI

Piezoelectric actuator based adaptive vibration control of flexible arm

TL;DR: Experimental results are shown to support the proposal on the control system design and to reduce the vibration effect based on an external disturbance model with consideration of dynamics of the piezoelectric actuator.
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