Fuzzy Sliding Mode Control of Plate Vibrations

Sharma, Manu; Singh, Shveta

doi:10.1155/2010/952928

Cited by 6 publications

(5 citation statements)

References 15 publications

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“…It is apparent that the alternate mode of light illumination is important. In this paper, light switching function is taken as the following linear function [27,32] s = λη mn +η mn (12) where λ is a positive constant, which is simply the slope of the switching surface. When the light illumination is alternatively varied with the sign of the switching function, the modal control force F c mn is rewritten as…”

Section: Sliding Surface Designmentioning

confidence: 99%

“…Chattering must be reduced for the controller to perform properly. This can be achieved by smoothing out the control discontinuity in a thin boundary layer [26,27,32]. In this paper, the following continuous function Δ(s) is used to approximate the sign function sign(s):…”

Section: Chattering Reductionmentioning

confidence: 99%

“…However, a major drawback of VSC in practical applications is the chattering problem. Several techniques have been proposed to alleviate this problem [26,27]. In order to implement VSC effectively, the switching surface and control law must be well-designed.…”

Section: Introductionmentioning

confidence: 99%

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Independent Modal Variable Structure Fuzzy Active Vibration Control of Cylindrical Thin Shells Laminated with Photostrictive Actuators

Zheng

Wang

2013

Shock and Vibration

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Photostrictive actuator, which can produce photodeformation strains under the activation of ultraviolet lights, is a new promising non-contact photoactuation technique for active vibration control of flexible structures. Generally, the membrane control action plays a major role in vibration control of flexible thin shell structures. However, it is unfortunate that the existing photostrictive actuator configuration can not induce negative membrane control forces. In this paper, a novel multi-layer actuator configuration is first presented to remedy this deficiency, followed by presenting the photostrictive/shell coupling equations of thin cylindrical shells laminated with the proposed multi-layer actuator configuration. Moreover, considering the time-variant and nonlinear dynamic characteristics of photostrictive actuator, variable structure self-adjusting parameter fuzzy active controller is explored to overcome disadvantages of conventional control schemes, in which off-line fuzzy control table is adopted. The optimal switching surface is derived to increase the range of sliding mode to facilitate vibration suppression. A continuous function is used to replace the sign function for reducing the variable structure control chattering. Finally, two case studies are carried out to evaluate the effectiveness of the proposed actuator configuration and the control scheme. Numerical simulation results demonstrate that the proposed actuator configuration is effective in shell actuation and control. It is also suggested that the proposed control strategy could give better control responses than the proportional velocity feedback.

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Section: Sliding Surface Designmentioning

confidence: 99%

Section: Chattering Reductionmentioning

confidence: 99%

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Independent Modal Variable Structure Fuzzy Active Vibration Control of Cylindrical Thin Shells Laminated with Photostrictive Actuators

Zheng

Wang

2013

Shock and Vibration

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“…Traditional control methods usually do not require accurate dynamic models, but in the presence of disturbances and dynamic uncertainties, these traditional control methods do not achieve the desired control performance. In order to improve the control performance of the system, several advanced control methods have been proposed, such as fuzzy control [4]- [6], neural network control [7]- [9], adaptive control [10]- [12] and sliding mode control [13]- [15], etc., but the effectiveness of each method has certain limitations. Among these control methods, SMC is robust to the uncertainties and disturbances of nonlinear systems, so SMC has been widely used.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Neural Network Nonsingular Fast Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor

Zhao

2019

IEEE Access

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For the problem that the position tracking accuracy of permanent magnet linear synchronous motor (PMLSM) servo system is easily affected by uncertain factors such as parameters change, load disturbance and friction and so on, an adaptive neural network nonsingular fast terminal sliding mode control (ANNNFTSMC) method is proposed. Firstly, the PMLSM dynamic mathematical model with uncertainty is established. Then, the nonsingular fast terminal sliding mode control (NFTSMC) can avoid the singularity problem and make the state of the system converge to the equilibrium point quickly, so as to improve the response speed of the system. Secondly, in order to minimize the influence of disturbance and dynamic uncertainty, the dynamic model of PMLSM servo system is estimated by RBF neural network, and the uncertain upper bound of PMLSM servo system is estimated in real time combined with adaptive control, which weakens the chattering phenomenon and enhances the robustness of the system. It is proved theoretically that the control scheme can make the system achieve fast convergence and good tracking. Finally, the system experiments show that the proposed control scheme has the advantages of high tracking accuracy, good robustness, fast response speed and small position error. INDEX TERMS Permanent magnet linear synchronous motor, nonsingular fast terminal sliding mode control, adaptive, RBF neural network.

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“…Thus, various researchers developed fuzzy sliding mode control (FSMC) to regulate a piezoelectric system [50]. However, only the vibration variable is focused and a single-link manipulator in macroscopic scale is considered [51,52]. Moreover, the control variable is indirectly estimated using a state observer [53].…”

Section: Introductionmentioning

confidence: 99%

Design and control of a multi-DOF micromanipulator dedicated to multiscale micromanipulation

Yang

Wei

Lou

et al. 2017

Smart Mater. Struct.

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This paper presents the design, implementation and control of a new piezoelectrically actuated compliant micromanipulator dedicated to multiscale, precision and reliable operations. To begin with, the manipulator is devised to obtain multi degrees of freedom and large workspace ranges. Two-stage amplification mechanisms (consists of the leverage and the rocker mechanisms) and composite parallelogram mechanisms are combined to construct the lower microstage. Meanwhile, the structure design of the upper dual-driven microgripper is based on the bridge-type mechanism and the unilateral parallelogram mechanism. Through finite-element analysis, the structural parameters of the micromanipulator are optimized and the structural interaction performances are examined. Moreover, a cooperative control strategy is proposed to achieve the synchronous control of the motion trajectory, the gripper position and the contact force. Precision motion control in terms of the hysteresis phenomenon and system disturbances is ensured by using an adaptive sliding mode control (SMC). In particular, an improved nonsymmetrical Bouc–Wen model and a fuzzy regulator are proposed in the SMC. Several experimental investigations are conducted to validate the effectiveness of the developed micromanipulator by performing transferring operations of a micro-object. Experimental results demonstrate that the micromanipulator presents good characteristics, and precision and robust operation can be acquired using the cooperative controller.

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Fuzzy Sliding Mode Control of Plate Vibrations

Cited by 6 publications

References 15 publications

Independent Modal Variable Structure Fuzzy Active Vibration Control of Cylindrical Thin Shells Laminated with Photostrictive Actuators

Independent Modal Variable Structure Fuzzy Active Vibration Control of Cylindrical Thin Shells Laminated with Photostrictive Actuators

Adaptive Neural Network Nonsingular Fast Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor

Design and control of a multi-DOF micromanipulator dedicated to multiscale micromanipulation

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