Robust Vibration Control of Uncertain Flexible Structures with Poles Placement

Xu, Yang; Chen, Jianjun; Wang, Xiaobing

doi:10.1109/isscaa.2006.1627642

Cited by 4 publications

(3 citation statements)

References 10 publications

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“…En estas circunstancias se presenta la necesidad de diseñar un controlador robusto que considere las incertidumbres del sistema. Existe gran cantidad de técnicas para el modelamiento de un sistema con incertidumbre en los parámetros en la teoría de control robusto [13]. Para el caso del convertidor elevador boost, la perturbación ∆ ( ) se considerará como incertidumbre no estructurada.…”

Section: Incertidumbre Del Sistemaunclassified

Formulación de un controlador H ∞ con incertidumbre no estructurada para un convertidor DC - DC elevador (boost)

Devia-Narváez¹,

Ospina²,

Devia-Narvaez³

2021

Rev. UIS ing.

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En este trabajo se presenta la formulación de un convertidor DC-DC tipo elevador (boost), a partir de un modelo de espacio de estados y el cálculo de un controlador con incertidumbre no estructurada multiplicativa. Se analizó el rendimiento del convertidor a bajas frecuencias, ajustando el peso de la función de ponderación, con el fin de reducir el ruido a determinadas frecuencias. Los resultados de la simulación del sistema, en lazo abierto y lazo cerrado, muestran que el controlador diseñado permite modificar la frecuencia de corte, a través de la variación de las funciones de ponderación y de esta manera, mejorar los comportamientos dinámicos del sistema.

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Section: Incertidumbre Del Sistemaunclassified

Formulación de un controlador H ∞ con incertidumbre no estructurada para un convertidor DC - DC elevador (boost)

Devia-Narváez¹,

Ospina²,

Devia-Narvaez³

2021

Rev. UIS ing.

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“…Their numerical simulations proved that the tip deflection of the arm can be effectively reduced by the proposed self-sensing actuator. One of the potential methods to deal with modeling and parameter changes is robust controller design, including robust pole-placement [12], robust H ∞ [13], robust LQ [14], and robust min-max LQ [15].…”

Section: Introductionmentioning

confidence: 99%

Design and Experimental Implementation of a Beam-Type Twin Dynamic Vibration Absorber for a Cantilevered Flexible Structure Carrying an Unbalanced Rotor: Numerical and Experimental Observations

Özer

Ghodsi

Sekiguchi

et al. 2015

Shock and Vibration

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This paper presents experimental and numerical results about the effectiveness of a beam-type twin dynamic vibration absorber for a cantilevered flexible structure carrying an unbalanced rotor. An experimental laboratory prototype setup has been built and implemented in our laboratory and numerical investigations have been performed through finite element analysis. The proposed system design consists of a primary cantilevered flexible structure with an attached dual-mass cantilevered secondary dynamic vibration absorber arrangement. In addition, an unbalanced rotor system is attached to the tip of the flexible cantilevered structure to inspect the system response under harmonic excitations. Numerical findings and experimental observations have revealed that significant vibration reductions are possible with the proposed dual-mass, cantilevered dynamic vibration absorber on a flexible cantilevered platform carrying an unbalanced rotor system at its tip. The proposed system is efficient and it can be practically tuned for variety of design and operating conditions. The designed setup and the results in this paper can serve for practicing engineers, researchers and can be used for educational purposes.

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“…Within this predefined bounded set, the controller remains stable and fulfills certain tradeoff performance criteria; nevertheless, the best performance is usually achieved only with the nominal model. Robust versions of numerous well-known control methods have been considered for the control of vibrating mechanical structures, including robust pole-placement [10], robust H ∞ [11], robust LQ [12], and robust min-max LQ [1]. Nonetheless, a real adaptive vibration control system offering a degree of self-reliance requires advanced control looking beyond the boundaries of mere robustness [9].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Model Predictive Vibration Control of a Cantilever Beam with Real-Time Parameter Estimation

Takács

Polóni

Rohal’-Ilkiv

2014

Shock and Vibration

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This paper presents an adaptive-predictive vibration control system using extended Kalman filtering for the joint estimation of system states and model parameters. A fixed-free cantilever beam equipped with piezoceramic actuators serves as a test platform to validate the proposed control strategy. Deflection readings taken at the end of the beam have been used to reconstruct the position and velocity information for a second-order state-space model. In addition to the states, the dynamic system has been augmented by the unknown model parameters: stiffness, damping constant, and a voltage/force conversion constant, characterizing the actuating effect of the piezoceramic transducers. The states and parameters of this augmented system have been estimated in real time, using the hybrid extended Kalman filter. The estimated model parameters have been applied to define the continuous state-space model of the vibrating system, which in turn is discretized for the predictive controller. The model predictive control algorithm generates state predictions and dual-mode quadratic cost prediction matrices based on the updated discrete state-space models. The resulting cost function is then minimized using quadratic programming to find the sequence of optimal but constrained control inputs. The proposed active vibration control system is implemented and evaluated experimentally to investigate the viability of the control method.

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Robust Vibration Control of Uncertain Flexible Structures with Poles Placement

Cited by 4 publications

References 10 publications

Formulación de un controlador H ∞ con incertidumbre no estructurada para un convertidor DC - DC elevador (boost)

Formulación de un controlador H ∞ con incertidumbre no estructurada para un convertidor DC - DC elevador (boost)

Design and Experimental Implementation of a Beam-Type Twin Dynamic Vibration Absorber for a Cantilevered Flexible Structure Carrying an Unbalanced Rotor: Numerical and Experimental Observations

Adaptive Model Predictive Vibration Control of a Cantilever Beam with Real-Time Parameter Estimation

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