On Control System Design for the Conventional Mode of Operation of Vibrational Gyroscopes

Dong, Lili; Zheng, Qian; Gao, Zhiqiang

doi:10.1109/jsen.2008.2006451

Cited by 59 publications

(31 citation statements)

References 19 publications

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“…The adaptive algorithm coefficients

ω_{normalR}

{sans-serifγ}_{normalD}

will influence the amplitude control speed of the start-up process, thus a proper combination of these two values is necessary. After a trade-off is made between the control time, overshoot and the proper estimation of parameters that illustrated in Figure 6 and Figure 7, the coefficients are finally determined with a multi-object optimization function [12,13]. …”

Section: Algorithm Simulationmentioning

confidence: 99%

“…The controllers are tested under averaged low frequency model and full gyroscope model conditions, respectively [10,11]. Dong presented a new adaptive control method based on Active Disturbance Rejection Control (ADRC), which can precisely estimate and compensate the disturbance on each axis, and is applied on a vibrational beam gyroscope [12]. …”

Section: Introductionmentioning

confidence: 99%

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A Digitalized Gyroscope System Based on a Modified Adaptive Control Method

Xia

2016

Sensors

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In this work we investigate the possibility of applying the adaptive control algorithm to Micro-Electro-Mechanical System (MEMS) gyroscopes. Through comparing the gyroscope working conditions with the reference model, the adaptive control method can provide online estimation of the key parameters and the proper control strategy for the system. The digital second-order oscillators in the reference model are substituted for two phase locked loops (PLLs) to achieve a more steady amplitude and frequency control. The adaptive law is modified to satisfy the condition of unequal coupling stiffness and coupling damping coefficient. The rotation mode of the gyroscope system is considered in our work and a rotation elimination section is added to the digitalized system. Before implementing the algorithm in the hardware platform, different simulations are conducted to ensure the algorithm can meet the requirement of the angular rate sensor, and some of the key adaptive law coefficients are optimized. The coupling components are detected and suppressed respectively and Lyapunov criterion is applied to prove the stability of the system. The modified adaptive control algorithm is verified in a set of digitalized gyroscope system, the control system is realized in digital domain, with the application of Field Programmable Gate Array (FPGA). Key structure parameters are measured and compared with the estimation results, which validated that the algorithm is feasible in the setup. Extra gyroscopes are used in repeated experiments to prove the commonality of the algorithm.

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“…The adaptive algorithm coefficients

ω_{normalR}

{sans-serifγ}_{normalD}

Section: Algorithm Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Digitalized Gyroscope System Based on a Modified Adaptive Control Method

Xia

2016

Sensors

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show abstract

“…The controller g 1 and pre-filter f 1 are designed using the classical approach of QFT loop-shaping on the Nichols chart [18][19][20] to control the equivalent plant 1=p 11 . Thus, the robust stability bounds at the operating frequency range and the bounds for the robust tracking and minimization of the sense loop effect are calculated [24].…”

Section: Synthesis Of the Controllermentioning

confidence: 99%

Multivariable quantitative feedback theory approach to robust control of vibrational micro-electromechanical systems gyroscope

Torabi

Vali

Ebrahimi

2011

Proceedings of the Institution of Mechanical Engineers, Part I:

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Recent advances in micro-electromechanical systems (MEMS) have led to the creation of small low-cost gyroscopes that have low power consumption levels. This paper presents a novel design methodology for a robust controller that can improve the performance of a vibratory MEMS gyroscopes despite the existence of coupling between vibratory gyroscope modes and inherent model uncertainties. The drive-mode of the gyroscope is able to track a desired sinusoidal trajectory while the sensing mode is bounded against uncertainties. In other words, while the sensing mode of the gyroscope operates under a bounded unknown disturbance and measurement noise, the multivariable robust quantitative feedback theory (QFT)-based controller compensates undesirable mechanical spring coupling between two vibrating directions, regulates both modes, and most significantly compels the output of the sensing mode to be bounded and the output of the drive mode to track a desired sinusoidal reference signal at a given amplitude and frequency. The robust performance of the closedloop system is verified through a series of frequency-domain analyses. Finally, the effectiveness of the proposed QFT-based controller is demonstrated through simulations.

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“…It can retain better static and dynamic performances and stronger robustness and adaptability, where a nonlinear control strategy is designed by estimating and compensating the internal and external disturbances in real time. Thus, the ADRC is widely applied in industrial control, for example, motion control [11,12], microelectromechanical gyroscopes [13,14], wind energy system [15,16], and robot control [17,18]. In recent research, the concept of ADRC has also been applied in the field of AHV [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Velocity Control Based on Active Disturbance Rejection for Air‐Breathing Supersonic Vehicles

2018

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This paper investigates a velocity tracking control approach for air-breathing supersonic vehicles with uncertainties and external disturbances. Considering angle of attack is difficult to be precisely measured in practice, extended state observer technique is introduced into the state reconstruction design. In order to avoid possible oscillations in the design of the traditional extended state observer (TESO), a modified extended state observer (MESO) is developed, where a new smooth function is proposed to replace nonsmooth function of TESO. On the basis of it, an active disturbance rejection controller (ADRC) is designed for velocity control systems. Simultaneously, the closed-loop stability is rigorously proved by using Lyapunov theory. Finally, numeric simulations are conducted to validate the effectiveness of the proposed method.

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On Control System Design for the Conventional Mode of Operation of Vibrational Gyroscopes

Cited by 59 publications

References 19 publications

A Digitalized Gyroscope System Based on a Modified Adaptive Control Method

A Digitalized Gyroscope System Based on a Modified Adaptive Control Method

Multivariable quantitative feedback theory approach to robust control of vibrational micro-electromechanical systems gyroscope

Velocity Control Based on Active Disturbance Rejection for Air‐Breathing Supersonic Vehicles

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