Robust Observer Based on Fixed-Time Sliding Mode Control of Position/Velocity for a T-S Fuzzy MEMS Gyroscope

Giap, Van Nam; Vu, Hong-Son; Nguyen, Quang Dich; Huang, Shyh‐Chour

doi:10.1109/access.2021.3095465

Cited by 12 publications

(26 citation statements)

References 63 publications

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“…The proposed DOB can estimate perturbations in many different formats. There is no need the prior format of the perturbations such as [22][23][24]. This is a huge suggestion for future direction of the area of disturbance rejection control design.…”

Section: In This Paper a New Super-twisting Dob Wasmentioning

confidence: 99%

“…In our developments of nonlinear disturbance observers in [19][20][21] still need some conjunctions of parameters. Or some disturbance observers just only can be used to estimate the fixed format of disturbance value such as [22][23][24]. This paper aims to provide a new super-twisting DOB for the SSBM system with simple structure and simple condition.…”

Section: Introductionmentioning

confidence: 99%

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Robust Sliding Mode Control-Based a Novel Super-Twisting Disturbance Observer and Fixed-Time State Observer for Slotless-Self Bearing Motor System

Nguyen

et al. 2022

IEEE Access

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The disturbance and uncertainty of the motor drive systems are very complicated terms. There is no exception for the slotless-self bearing motor (SSBM), where the perturbations of the bearing motor are mainly came from the outside as the wind affect, from inside as the thermal changing of the coils, and incorrect modeling of the winding processes. First, to delete these inversed terms, this paper proposes a new super-twisting disturbance observer (STDOB) to obtain the desired goal of the robust control design. The proposed disturbance observer was based on the information of measured and estimated states with the aim of softening the cost of the measurement. Second, to estimate the velocities and accelerations of the movements on x  and y  axes, the stability concept of homogeneous function-based was used to design the fixed-time state observers (FTSOBs) for these axes. The state of the rotational operation on   axis was estimated with a fixed-time state observer. Third, to control the positions and rotational speed, a variable boundary layer thickness (VBLT) fixed-time sliding mode control (FTSMC) was designed to force these positions and speed states converge to the desired goals. Finally, the stability of the proposed control algorithm was theoretically verified by using Lyapunov condition and simulation of MATLAB software. The obtained states were acceptably stable with small overshoots, small settling-times, and stable steadystates.INDEX TERMS Slotless-self bearing motor, super-twisting disturbance observer, variable boundary layer thickness, fixed-time sliding mode control.

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Section: In This Paper a New Super-twisting Dob Wasmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Sliding Mode Control-Based a Novel Super-Twisting Disturbance Observer and Fixed-Time State Observer for Slotless-Self Bearing Motor System

Nguyen

et al. 2022

IEEE Access

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“…In fact, the fabrication errors and working disturbances of the MEMS are the main key factors which reduces the precision of the measurement effects. To avoid these inversed effects, some papers discussed with some improvement methods are as follows: the active disturbance rejection was discussed by Pishrobat and Keighobadi, (2018); the disturbance observer (DOB) with a fixed format of disturbance for a MEMS gyroscope can be found in Giap et al, (2021b). Some advanced control techniques for a linear spring model of the MEMS system can be found in Chu et al (2019); Fei and Feng (2020); Fei and Wang (2020); Wang et al (2019); and Zhang et al (2018Zhang et al ( , 2020.…”

Section: Introductionmentioning

confidence: 99%

Time-varying disturbance observer based on sliding-mode observer and double phases fixed-time sliding mode control for a T-S fuzzy micro-electro-mechanical system gyroscope

Giap

Nguyen

Trung

et al. 2022

Journal of Vibration and Control

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This paper proposes a new disturbance observer concept based on the information of the estimated and measured signals for a micro-electro-mechanical system. First, the sliding-mode observer based on the linear matrix inequality was designed to estimate the states of a micro-electro-mechanical system gyroscope. Second, a new disturbance observer was proposed for estimating perturbations of the T-S fuzzy micro-electro-mechanical system gyroscope. Third, the double phase’s fixed-time sliding-mode control was designed to control the positions and velocities of the MEMS system. The proposed disturbance observer input signals were taken into account from the measured and estimated signals. Two cases of high magnitudes and high frequencies disturbances were used to test the power of the proposed disturbance observer. Fourth, the Lyapunov condition was used to verify the corrections of the proposed controller and observer. Finally, the simulation by using MATLAB software was used to show the power of the proposed methods. The achievements of the small reaching-time, small tracking error, and stable steady-states under the vibration form outside of the system.

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“…The development of nonlinear DOB can be found in [25][26][27]. Otherwise, the DOB for a fixed disturbance format can be found in [28][29][30]. In fact, the format and frequency of unknown disturbances cannot be predefined.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, the concept of a newly opened worldwide for DOB design with the predefined reaching law is proposed in this work. Therefore, the limitation of the work from [21][22][23][24][25][26][27][28][29][30] is solved here. Because of that, this paper proposed a new DOB without this conjunction of the disturbance format and its derivation.…”

Section: Introductionmentioning

confidence: 99%

Inversed Model-Based Disturbance Observer Base on Adaptive Fast Convergent Sliding Mode Control and Fixed-Time State Observer for Slotless Self-Bearing Motor

2022

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The slotless self-bearing motor (SSBM) is a motor with its self-bearing function. The mechanical structure of the motor is six symmetrical hexagonal shapes. The main control problem for this motor is disturbance and uncertainty rejection. Therefore, this paper proposes a new disturbance observer (DOB) based on an optimal fixed-time state observer (OFTSOB) and adaptive sliding mode control (SMC) for the motor. Firstly, the optimal state observer was used to construct to obtain the information of the states of the bearing-less motor system. Second, a new disturbance observer base on the fast speed reaching law is proposed for estimating the unknown dynamics and unpredicted uncertainty of the motor system. Third, the adaptive fast-reaching law-sliding mode control is designed to control the positions and rotational speed. Fourth, the proposed control system is proved via the Lyapunov theorem. Finally, the corrections of proposed method once again tested by using MATLAB simulation. The obtained results figured out that the proposed method is good at rejection disturbance and uncertainty and precision in control the movement and rotation. The novelties of the proposed method are that the gains of fixed-time observer were met by the support of optimal pole placement method, the disturbances were mostly rejected by a new reaching law of unknown input observer.

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Robust Observer Based on Fixed-Time Sliding Mode Control of Position/Velocity for a T-S Fuzzy MEMS Gyroscope

Abstract: The authors acknowledge and thank the Ministry of Science and Technology of the Republic of China for their partial financial support of this study under Contract Number MOST 109-2622-E-992-008 -CC3.

Cited by 12 publications

References 63 publications

Robust Sliding Mode Control-Based a Novel Super-Twisting Disturbance Observer and Fixed-Time State Observer for Slotless-Self Bearing Motor System

Robust Sliding Mode Control-Based a Novel Super-Twisting Disturbance Observer and Fixed-Time State Observer for Slotless-Self Bearing Motor System

Time-varying disturbance observer based on sliding-mode observer and double phases fixed-time sliding mode control for a T-S fuzzy micro-electro-mechanical system gyroscope

Inversed Model-Based Disturbance Observer Base on Adaptive Fast Convergent Sliding Mode Control and Fixed-Time State Observer for Slotless Self-Bearing Motor

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