Robust reliable control in vibration suppression of sandwich circular plates

Oveisi, Atta; Shakeri, Rezgar

doi:10.1016/j.engstruct.2016.02.040

Cited by 17 publications

(14 citation statements)

References 34 publications

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“…12) and the highfrequency area (Fig. 15), it can be seen that the control system loses its optimality since by using more actuation energy less performance is achieved [42]. This emphasizes the importance of the nominal system order and the weighting functions in the control design procedure.…”

Section: Fig 14 Robust Vibration Attenuation Performance For Unmodelmentioning

confidence: 98%

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Mu-Synthesis Based Active Robust Vibration Control of an Mri Inlet

Oveisi

Nestorović

2016

FU Mech Eng

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In this paper, a robust control technique based on μ-synthesis is employed in order to investigate the vibration control of a funnel-shaped structure that is used as the inlet of a magnetic resonance imaging (MRI) device. MRI devices are widely subjected to the vibration of the magnetic gradient coil which then propagates to acoustic noise and leads to a series of clinical and mechanical problems. In order to address this issue and as a part of noise cancellation study in MRI devices, distributed piezo-transducers are bounded on the top surface of the funnel as functional sensor/actuator modules. Then, a reduced order linear time-invariant (LTI) model of the piezolaminated structure in the state-space representation is estimated by means of a predictive error minimization (PEM) algorithm as a subspace identification method based on the trust-region-reflective technique. The reduced order model is expanded by the introduction of appropriate frequency-dependent weighting functions that address the unmodeled dynamics and the augmented multiplicative modeling uncertainties of the system. Then, the standard D-K iteration algorithm as an output-feedback control method is used based on the nominal model with the subordinate uncertainty elements from the previous step. Finally, the proposed control system implemented experimentally on the real structure is to evaluate the robust vibration attenuation performance of the closed-loop system.

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Section: Fig 14 Robust Vibration Attenuation Performance For Unmodelmentioning

confidence: 98%

“…In order to investigate the spillover effect of the controller, the Fast Fourier Transformation (FFT) analysis was performed on the control signal to clarify the frequency content of the applied voltage [42]. The result as depicted in Fig.…”

Section: Fig 9 Weighting Functions Associated With Uncertainty Presementioning

confidence: 99%

Mu-Synthesis Based Active Robust Vibration Control of an Mri Inlet

Oveisi

Nestorović

2016

FU Mech Eng

Self Cite

View full text Add to dashboard Cite

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“…ww     According to the Bounded Real Lemma [22][23] for the system (12), following the procedure given in [22] and by applying the Schur complement and by some rearrangement of matrix sub-blocks, the result can be expressed as an LMI. Therefore, for the uncertain system (4) with given γ>0, η>0, a state feedback control of form (9) can be constructed which could tolerate the system uncertainties Δ M , Δ C , Δ K , and controller gain variations Δ F so that the resulting closed loop system is robustly stable with disturbance attenuation γ provided that there exist matrices X>0, Q>0, Y and scalars >0, T T T T T c c k k k k T T T T T T ff T T T T w k k T…”

Section: Controller Designmentioning

confidence: 99%

Reliable Robust Controller for Half-Car Active Suspension Systems Based on Human-Body Dynamics

Gudarzi

2016

FU Mech Eng

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The paper investigates a non-fragile robust control strategy for a half-car active suspension system considering human-body dynamics. A 4-DoF uncertain vibration model of the driver’s body is combined with the car’s model in order to make the controller design procedure more accurate. The desired controller is obtained by solving a linear matrix inequality formulation. Then the performance of the active suspension system with the designed controller is compared to the passive one in both frequency and time domain simulations. Finally, the effect of the controller gain variations on the closed-loop system performance is investigated numerically.

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“…[11,12] These structural configurations are additionally employed to control the stress, strain, and sound. [13][14][15] Consequently, by utilizing suitable sensor elements, the undesired environmental disturbances can be rejected. [16][17][18] Hassan et al presented a remarkable survey of the application of piezo-actuators/sensors in AVC.…”

Section: Introductionmentioning

confidence: 99%

Observer-based repetitive model predictive control in active vibration suppression

Oveisi

Hosseini-Pishrobat

Nestorović

et al. 2018

Struct Control Health Monit

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In this paper, an observer-based feedback/feedforward model predictive control (MPC) algorithm is developed for addressing the active vibration control (AVC) of lightly damped structures. For this purpose, the feedback control design process is formulated in the framework of disturbance rejection control (DRC) and a repetitive MPC is adapted to guarantee the robust asymptotic stability of the closed-loop system. To this end, a recursive least squares (RLS) algorithm is engaged for online estimation of the disturbance signal, and the estimated disturbance is feed-forwarded through the control channels. The mismatched disturbance is considered as a broadband energy bounded unknown signal independent of the control input, and the internal model principle is adjusted to account for its governing dynamics. For the sake of relieving the computational burden of online optimization in MPC scheme, within the broad prediction horizons, a set of orthonormal Laguerre functions is utilized. The controller design is carried out on a reduced-order model of the experimental system in the nominal frequency range of operation. Accordingly, the system model is constructed following the frequency-domain subspace system identification method. Comprehensive experimental analyses in both time-/frequencydomain are performed to investigate the robustness of the AVC system regarding the unmodeled dynamics, parametric uncertainties, and external noises. Additionally, the spillover effect of the actuation authorities and saturation of the active elements as two common issues of AVC systems are addressed.KEYWORDS disturbance estimation, model predictive control, orthonormal basis functions, piezoelectric material, vibration attenuation | INTRODUCTIONModel predictive control (MPC) is an optimization-based method in which, the control inputs are obtained by solving a set of finite-horizon optimal control problems successively over the sampling instants. The optimal control formulation of the MPC explicitly takes into account model-based predictions of the controlled system trajectories. The obtained solutions of the optimal control problems are concatenated in a receding horizon framework, to construct the MPC feedback law. By the advances of embedded computer processors along with the enhanced optimization solvers, the MPC methods are appearing more and more in the emerging industrial applications. [1] In comparison with the other industrial control

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Robust reliable control in vibration suppression of sandwich circular plates

Cited by 17 publications

References 34 publications

Mu-Synthesis Based Active Robust Vibration Control of an Mri Inlet

Mu-Synthesis Based Active Robust Vibration Control of an Mri Inlet

Reliable Robust Controller for Half-Car Active Suspension Systems Based on Human-Body Dynamics

Observer-based repetitive model predictive control in active vibration suppression

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