Nonsingular terminal sliding mode control for micro-electro-mechanical gyroscope based on disturbance observer: Linear matrix inequality approach

Jafari, Maryam; Mobayen, Saleh; Roth, Hubert; Bayat, Farhad

doi:10.1177/1077546320988192

Cited by 29 publications

(16 citation statements)

References 34 publications

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“…Comparing our results with some recent published work and showing clearly how the new design features in the current work, we would mention some comparative points as follows. Unlike previous papers on modeling and control problems of MEMS capacitive plates with sinusoidal oscillations such as [7,13,14,17,19], this Fig. 7 The article presents solution for displacing MEMS capacitive plates smoothly without any overshoot in a precise micro-meter scale, and for positioning them adjacent to the pull-in point, subjected into measurement noise and external disturbance.…”

Section: Results and Comparison Studymentioning

confidence: 99%

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Design of a fuzzy PID controller for a MEMS tunable capacitor for noise reduction in a voltage reference source

et al. 2021

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This study presents a conventional Ziegler-Nichols (ZN) Proportional Integral Derivative (PID) controller, having reviewed the mathematical modeling of the Micro Electro Mechanical Systems (MEMS) Tunable Capacitors (TCs), and also proposes a fuzzy PID controller which demonstrates a better tracking performance in the presence of measurement noise, in comparison with conventional ZN-based PID controllers. Referring to importance and impact of this research, the proposed controller takes advantage of fuzzy control properties such as robustness against noise. TCs are responsible for regulating the reference voltage when integrated into Alternating Current (AC) Voltage Reference Sources (VRS). Capacitance regulation for tunable capacitors in VRS is carried out by modulating the distance of a movable plate. A successful modulation depends on maintaining the stability around the pull-in point. This distance regulation can be achieved by the proposed controller which guarantees the tracking performance of the movable plate in moving towards the pull-in point, and remaining in this critical position. The simulation results of the tracking performance and capacitance tuning are very promising, subjected to measurement noise. Article Highlights This article deals with MEMS tunable capacitor dynamics and modeling, considering measurement noise. It designs and applies fuzzy PID control system for regulating MEMS voltage reference output. This paper contributes to robustness increase in pull-in performance of the tunable capacitor.

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Section: Results and Comparison Studymentioning

confidence: 99%

“…The modified plant is where Putting Eqs. (19), (20), and ( 16) together yields…”

Section: Control Design and Simulationmentioning

confidence: 98%

Design of a fuzzy PID controller for a MEMS tunable capacitor for noise reduction in a voltage reference source

et al. 2021

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“…In order to obtain both fast finite time convergence and singular elimination, Nonsingular Fast Terminal Sliding Mode Control (NFTSMC) has been proposed. 18–21…”

Section: Introductionmentioning

confidence: 99%

“…In order to obtain both fast finite time convergence and singular elimination, Nonsingular Fast Terminal Sliding Mode Control (NFTSMC) has been proposed. [18][19][20][21] However, chattering is not suppressed by applying a high frequency reaching control term to the control input of the above systems. One of the key issues when designing a (NFTSM) controller is to know the bounded value of dynamic perturbations and uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Wavelet neural network sliding mode control of two rigid joint robot manipulator

Tlijani

Jouila

Nouri

2022

Advances in Mechanical Engineering

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To solve the problems of low accuracy and poor stability due to uncertainties, external disturbances and unknown load, which exist in the position control of rigid joint robot manipulator, this article is to propose Non-Singular Fast Terminal Sliding Mode Control strategy with Wavelet neural networks observer (NSFTSMCW). The wavelet observer is designed using the online approximation capability of the neural network, which is used to online estimate the modeling error, external disturbances and uncertainties generated by the dynamic surface control of the joint robot online. Combining the above strategies, the robot manipulators position controller is designed. The stability of this control strategy is demonstrated by stability analysis using the Lyapunov criterion. Simulations on the 2-Link Rigid Joint (2LRJ) robot show that the control strategy can overcome the chattering phenomena ensures the accuracy and stability of the joint robot position control.

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“…An adaptive dynamic SMC with the sliding surface comprised of fractional-order terms has been utilized to control the Z-axis vibrating MEMS-Gs in [9], and an adaptive dynamic SMC via a backstepping technique to analyze the same problem has been used in [10]. Based on an LMI approach and the concept of a nonsingular terminal SMC strategy, the stabilization conditions of the MEMS-Gs have been addressed in [11]. The tracking problem of uncertain MEMS-Gs with disturbances has been analyzed by using an adaptive prescribed performance SMC in [12].…”

Section: Introductionmentioning

confidence: 99%

A New Data-Driven Control System for MEMSs Gyroscopes: Dynamics Estimation by Type-3 Fuzzy Systems

Alattas

Mohammadzadeh²,

Mobayen

et al. 2021

Micromachines

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In this study, a novel data-driven control scheme is presented for MEMS gyroscopes (MEMS-Gs). The uncertainties are tackled by suggested type-3 fuzzy system with non-singleton fuzzification (NT3FS). Besides the dynamics uncertainties, the suggested NT3FS can also handle the input measurement errors. The rules of NT3FS are online tuned to better compensate the disturbances. By the input-output data set a data-driven scheme is designed, and a new LMI set is presented to ensure the stability. By several simulations and comparisons the superiority of the introduced control scheme is demonstrated.

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Nonsingular terminal sliding mode control for micro-electro-mechanical gyroscope based on disturbance observer: Linear matrix inequality approach

Cited by 29 publications

References 34 publications

Design of a fuzzy PID controller for a MEMS tunable capacitor for noise reduction in a voltage reference source

Design of a fuzzy PID controller for a MEMS tunable capacitor for noise reduction in a voltage reference source

Wavelet neural network sliding mode control of two rigid joint robot manipulator

A New Data-Driven Control System for MEMSs Gyroscopes: Dynamics Estimation by Type-3 Fuzzy Systems

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