Active robust vibration control of flexible structures

Hu, Yan‐Ru; Ng, Alfred

doi:10.1016/j.jsv.2004.12.015

Cited by 77 publications

(50 citation statements)

References 12 publications

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“…Then, we further investigate the design of the robust controlp(t). By introducing (22) and (23) into (6), we have:˙x…”

Section: Design Of H ∞ /Leitmann Control For the Uncertain Systemmentioning

confidence: 99%

“…This robust control design takes the upper-bound of the uncertainty norm and the principle of the Min-Max Lyapunov function into account and assured the system responses within a certain neighborhood of the zero state. The Leitmann approach was developed into the centralized and decentralized robust control of the uncertain linear or nonlinear system with the time delay, no structure matching conditions or coupling [19][20][21], and it was applied to robust controls of the flexible structures, the switched systems and the robot manipulation [22][23][24][25]. Moreover, researchers attempted the combination between the Leitmann approach and the other control theory to enhance the controller ability and enrich the performance of the closed system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

et al. 2017

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In this paper, a H ∞ /Leitmann approach to the robust tracking control design is presented for an uncertain dynamic system. This new method is developed in the following two steps. Firstly, a tracking dynamic system with simultaneous consideration of parameter uncertainty and noise is modeled based on a linear system and a reference model. Accordingly, a "nominal system" from the tracking system is defined and controlled by a H ∞ control to obtain the asymptotical stability and noise resistance. Secondly, by making use of a Lyapunov function and the norm boundedness, a new robust control with the "Leitmann approach" is designed to cope with the uncertainty. The two controls collaborate with each other to achieve "uniform tracking boundedness" and "uniform ultimate tracking boundedness". The new approach is then applied to an aircraft turbofan control design, and the numerical simulation results show the prescribed performances of the closed-loop system and the advantage of the developed approach.

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“…Then, we further investigate the design of the robust controlp(t). By introducing (22) and (23) into (6), we have:˙x…”

Section: Design Of H ∞ /Leitmann Control For the Uncertain Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

et al. 2017

View full text Add to dashboard Cite

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“…Lin and Nien [19] investigated the modeling and active vibration control of a smart beam using piezoelectric damping-modal actuators/sensors. Hu and Ng [20] developed an approach for active vibration control of flexible structures with integrated piezoelectric actuators using a robust vibration control method. Qiu et al [21] used piezoelectric ceramic patches as sensors and actuators to suppress the vibration of the smart flexible clamped plate.…”

Section: Introductionmentioning

confidence: 99%

Active Vibration Control of an Axially Translating Robot Arm with Rotating-Prismatic Joint Using Self-Sensing Actuator

Zhao

2015

Shock and Vibration

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Active vibration control of an axially translating robot arm with rotating-prismatic joint using self-sensing actuator is investigated. The equations of the system are derived by Lagrange's equation with the assumed mode method. The displacement and velocity control law is used to configure the self-sensing actuator, which provides the active damping and stiffness effect to the structure. The numerical simulations reveal that the tip deflection of the arm can be effectively reduced by the self-sensing actuator. The amplitude of sensor voltage is inversely proportional to the length of axially translating arm. And higher feedback control gain results in lower sensor voltages and vibration amplitudes.

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“…for active vibration control, precision shape control, damage detection, health monitoring of structures, dynamic response alleviation, etc.) [1][2][3][4]. These intelligent structures have been extensively studied because of their high electromechanical coupling coefficient and, when coupled with suitable control strategies and circuitry, these structures can show very interesting behavior.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, fully electromechanically coupled piezoelectric elements became available. Among plates of various shapes, circular plates have a particular importance, due to their axial symmetry [4,[13][14][15][16][17]. The knowledge of natural frequencies of such components is of great interest in the study of responses of structures to various excitations, and so this study is fundamental for high-risk plants.…”

Section: Introductionmentioning

confidence: 99%

The complete synchronization condition in a network of piezoelectric micro-beams

Yolong

Woafo

2008

Nonlinear Dyn

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This work deals with the dynamics of a network of piezoelectric micro-beams (a stack of disks). The complete synchronization condition for this class of chaotic nonlinear electromechanical system with nearest-neighbor diffusive coupling is studied. The nonlinearities within the devices studied here are in both the electrical and mechanical components. The investigation is made for the case of a large number of coupled discrete piezoelectric disks. The problem of chaos synchronization is described and converted into the analysis of the stability of the system via its differential equations. We show that the complete synchronization of N identical coupled nonlinear chaotic systems having shift invariant coupling schemes can be calculated from the synchronization of two of them. According to analytical, semi-analytical predictions and numerical calculations, the transition boundaries for chaos synchronization state in the coupled system are determined as a function of the increasing number of oscillators.

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Active robust vibration control of flexible structures

Cited by 77 publications

References 12 publications

A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

Active Vibration Control of an Axially Translating Robot Arm with Rotating-Prismatic Joint Using Self-Sensing Actuator

The complete synchronization condition in a network of piezoelectric micro-beams

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