Positional Regulation of Electrostatic Micro-electromechanical Actuator via Adaptive Two-stage Sliding Mode Control

Yang, Chi-Hsin; Wang, Kun‐Chieh; Wu, Long

doi:10.18494/sam.2020.2918

Cited by 4 publications

(6 citation statements)

References 19 publications

(34 reference statements)

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“…where u smc is the sliding-mode control equivalent linear term, and u eso is the control term after the introduction of the state observer, which is expressed as u eso = − z 3 b . Using the state observer shown in Equation (11), z 3 → f , so the system state equation can be converted to:…”

Section: Design Of the Sliding-mode Active Disturbance Rejection Cont...mentioning

confidence: 99%

“…Define z ei = x i − z i , i = 1, 2, 3 as the estimation errors, and according to (11), the observer can be expressed as:…”

Section: Stability Analysismentioning

confidence: 99%

“…Many control methods can be applied to the control of micro-positioning platform, such as linear control [9], sliding-mode control [10], adaptive control [11] and neural network control [12]. The linear algorithms do not take into account the non-linear and kinetic windings, which makes the system less resistant to interference [13].…”

Section: Introductionmentioning

confidence: 99%

“…Nowadays, in the field of nanometer positioning and machining, the Nyquist criterion method is extensively used [22]. For nonlinear control systems, the main methods are the variable structure control [23], differential geometry [24] and Lyapunov stability analysis methods [10,11], among which the Lyapunov method is more convenient to apply.…”

Section: Introductionmentioning

confidence: 99%

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Sliding-Mode Active Disturbance Rejection Control for Electromagnetic Driven Compliant Micro-Positioning Platform

2023

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At the field of nanometer positioning and machining, high-precision tracking is a key technology of the micro-positioning platform which is driven by a voice coil motor. To improve the tracking accuracy and response speed, the sliding-mode active disturbance rejection control is proposed. The mathematical model of the micro-positioning platform control system is established, in which the perturbation and spring-damping force are set as the unknown terms, and an extended state observer is used to estimate and compensate for the unknown terms. To improve the robustness of the system, the equivalent sliding-mode term is constructed to replace the PD control term in the conventional active disturbance rejection. Further, the stability of the system is proved by the Lyapunov stability theory, and compared with the conventional sliding-mode controller, the effectiveness of the proposed control strategy is verified by simulation.

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Section: Design Of the Sliding-mode Active Disturbance Rejection Cont...mentioning

confidence: 99%

“…Define z ei = x i − z i , i = 1, 2, 3 as the estimation errors, and according to (11), the observer can be expressed as:…”

Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sliding-Mode Active Disturbance Rejection Control for Electromagnetic Driven Compliant Micro-Positioning Platform

2023

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“…Synchronization is the status of consistency with the time trajectories of state variables for master-slave systems. (4) The applications of chaotic synchronization, such as to the nervous system, (5) circuit systems, (6) secure communication, (7) encryption, (8) and micro-electromechanical systems, (9,10) have been paid considerable attention. From the viewpoint of biomedicine, a healthy CAS performs periodic motion and a diseased CAS performs chaotic motion.…”

Section: Introductionmentioning

confidence: 99%

Self-tuning Integral-type Finite-time-stabilized Sliding Mode Control for State Synchronization of Coronary Artery Systems

Yang¹,

Ma²,

Wang³

2022

Sensors and Materials

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The medical treatment of cardiovascular disease can be regarded as synchronizing a chaotic diseased coronary artery system (CAS) to a healthy CAS in periodic motion. The main goal of the study is to develop a novel self-tuning integral-type finite-time-stabilized sliding mode control (IFSMC) scheme for two CASs with parameters belonging to different parameter sets to achieve their state synchronization. The defined integral-type finite-time-stabilized sliding mode (IFSM) has a special characteristic making it suitable for application to CASs. It is concluded that, on the sliding surface, one of the error states is first stabilized within a finite time. Then, the other error state becomes exponentially stable. The proposed adaptive IFSMC scheme contains four time-varying state feedback gains, which can adaptively compensate for the effects of nonlinear terms in the synchronized error dynamical system. Numerical simulations are performed to validate the effectiveness of the present scheme.

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Almost Finite-time Synchronization of Coronary Artery Systems via Adaptive Fractional-powered-integral-type Sliding Mode Control Method

Hong,

Lai,

Yang

et al. 2024

Sensors and Materials

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From the cardiac medical viewpoint, the treatment for a vasospasm caused by the diseased coronary artery system (CAS) is to synchronize the dynamic behavior of a diseased CAS with that of a healthy CAS such that the physiological change of the CAS is improved. In this study, for the bio-mathematical model of CAS, the novel fractional-powered-integral-type finite-timeconvergent sliding mode (FFSM), which is consisted of the fractional powered and the integral terms of the state variables, is introduced. The adaptive sliding mode control method based on the defined FFSM is proposed for achieving the almost finite-time synchronization between two CASs. Once the developed control is in action, the special type of stability is exhibited. That is, the two error states are stabilized in the sequel on the sliding surface, which induces the almost finite-time stability owing to the property of the model for CAS. The adaptive FFSM control scheme, which includes three online updated gains with the rules of adaption, can counter the nonlinear dynamical effects of the synchronized error system. Numerical experiments are executed to show the validation of the present scheme.

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Positional Regulation of Electrostatic Micro-electromechanical Actuator via Adaptive Two-stage Sliding Mode Control

Cited by 4 publications

References 19 publications

Sliding-Mode Active Disturbance Rejection Control for Electromagnetic Driven Compliant Micro-Positioning Platform

Sliding-Mode Active Disturbance Rejection Control for Electromagnetic Driven Compliant Micro-Positioning Platform

Self-tuning Integral-type Finite-time-stabilized Sliding Mode Control for State Synchronization of Coronary Artery Systems

Almost Finite-time Synchronization of Coronary Artery Systems via Adaptive Fractional-powered-integral-type Sliding Mode Control Method

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