Delayed Resonator With Distributed Delay in Acceleration Feedback—Design and Experimental Verification

Pilbauer, Dan; Vyhlídal, Tomáš; Olgaç, Nejat

doi:10.1109/tmech.2016.2516763

Cited by 41 publications

(35 citation statements)

References 31 publications

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“…The purpose of the design is only to suppress the vibration, while stability aspects of the overall set-up are left aside. As discussed in [14], [15], in fact, the resonator may decrease the stability margin or even destabilize the overall set-up. Thus, the first objective of the presented work is to design such a resonator feedback which will not only suppresses the vibration, but will also keep the set-up safely stable.…”

Section: Introductionmentioning

confidence: 99%

“…The analysis shows negative effect when lumped-delayed feedback is taken from acceleration measurement, which results in undesirable neutral time delay system dynamics for both the resonator and its coupling with the primary structure. In order to mitigate this undesirable effect, an alternative distributed delay resonator (DDR) was proposed and analyzed in [15] resulting in a retarded spectral properties, which are more convenient. The second benefit of this novel resonator scheme is that the distributed delay provides filtering of the measured noise.…”

Section: Introductionmentioning

confidence: 99%

“…The second benefit of this novel resonator scheme is that the distributed delay provides filtering of the measured noise. By applying the method of Cluster Treatment of Characteristic Roots [16], it was shown in [14] and [15] that for both the DR and DDR, their operable frequency range is limited. From below, it is limited by the stability boundary, while the delay implementation aspects limit the range from the above -due to the exponential decay of the delay length with respect to growing frequency.…”

Section: Introductionmentioning

confidence: 99%

“…The second objective is to enhance the robustness of the resonator against mismatch between the design and true excitation frequencies. As it results from the frequency domain analysis performed in application sections of [15], [17], the entire vibration suppression takes place only if the resonant frequency adjusted by the resonator is equal to the true excitation frequency. The performance of the resonator decays considerably even for very small differences in these frequencies.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Optimized design of robust resonator with distributed time-delay

Pilbauer

Vyhlídal

Michiels

2019

Journal of Sound and Vibration

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An extension of the well-known delayed resonator concept is proposed with the objective to enhance its robustness in vibration suppression under guaranteeing stability of the overall set up. The novel resonator feedback is based on an acceleration measurements passing through a delay of polynomial distribution. The feedback design is formulated as an optimization problem over the parameter set formed by the polynomial coefficients and the gain of the delay free part. The first objective is to minimize the sensitivity of the resonator performance with respect to variations of the excitation frequency, i.e. to widen its frequency stop-band centered at the nominal excitation frequency. The second, equally significant objective is to guarantee that this does not lead to instability of the overall mechanical system coupled with the absorber and to ensure sufficient stability margin. The arising non-convex and non-smooth optimization problem is widely discussed and a penalty method is developed, where the unconstrained problem in every iteration step is solved using available software tools for optimization and spectral design of time delay systems. The proposed design technique is validated by simulations for two case study examples.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimized design of robust resonator with distributed time-delay

Pilbauer

Vyhlídal

Michiels

2019

Journal of Sound and Vibration

Self Cite

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“…State feedback control based on proportional–integral (PI) or pole configuration is typical, and the acceleration- or torque-based feedback control method is also popular. 9 However, various PI-based active feedback control methods require empirical configuration of PI parameters, 10 and fixed PI parameters have poor adaptability to structural adjustment and parameter variation that easily lead to weak control performance. Passive control is to deploy a suitable filter or notch filter between the speed loop and the current loop to suppress the vibration, such as the notch filter of frequency and low-pass filter.…”

Section: Introductionmentioning

confidence: 99%

An integrated scheme of speed control and vibration suppression for spiral spring energy storage system driven by PMSM based on backstepping control with minimum electrical loss

Xia

Jia

et al. 2020

Advances in Mechanical Engineering

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The operational performance of the spiral spring energy storage system is affected by the vibration of the spiral spring and the electrical loss of the permanent magnet synchronous motor. It is important to eliminate vibration and reduce electrical loss. A unified control scenario for speed regulation and vibration suppression based on the minimum electrical loss is proposed. First, the spiral spring is equivalent to an Euler–Bernoulli beam and its dynamic model suitable for control is established via the Lagrange equation. Then, the unified control scenario is proposed through nonlinear backstepping control. The speed controller and current controller including modal vibration suppression and minimum electrical loss operation of the system are established, and the stability of the controller is theoretically proved. Moreover, for unknown vibration mode of the spiral spring, a vibration mode–based estimation method with the least-squares algorithm is designed. Aiming at the uncertainty of the permanent magnet synchronous motor’s iron loss resistance, an estimation algorithm based on an adaptive neural fuzzy inference system is designed. The experimental results verify the correctness and effectiveness of the proposed control scheme. In comparison with traditional backstepping control, the proposed control method can effectively suppress the vibration of the spiral spring and realize the stable and highly efficient energy storage operation of the system.

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On the Spectrum Distribution of Parametric Second-Order Delay Differential Equations: Perspectives in Partial Pole Placement

Benarab,

Boussaada,

Niculescu

et al. 2023

Trends in Mathematics

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This chapter presents a parameter-based frequency-domain approach for the analysis and control of linear time-invariant dynamical systems described by delay-differential equations involving a single pointwise delay. More precisely, the link between the maximal allowable multiplicity of the characteristic roots and the spectral abscissa of the dynamical system is exploited to define appropriate stabilizing controllers. The ideas are explicitly illustrated on a class of second-order dynamical systems where a complete parametric characterization of the multiplicity-induced-dominancy is provided using certified algorithms from the computer algebra system Maple.

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Delayed Resonator With Distributed Delay in Acceleration Feedback—Design and Experimental Verification

Cited by 41 publications

References 31 publications

Optimized design of robust resonator with distributed time-delay

Optimized design of robust resonator with distributed time-delay

An integrated scheme of speed control and vibration suppression for spiral spring energy storage system driven by PMSM based on backstepping control with minimum electrical loss

On the Spectrum Distribution of Parametric Second-Order Delay Differential Equations: Perspectives in Partial Pole Placement

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