scholarly journals Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Ting Zhang ◽  
Hong Guang Li ◽  
Guo Ping Cai ◽  
Fu Cai Li

This paper presents various experimental verifications for the theoretical analysis results of vibration suppression to a smart flexible beam bonded with a piezoelectric actuator by a velocity feedback controller and an extended state observer (ESO). During the state feedback control (SFC) design process for the smart flexible beam with the pole placement theory, in the state feedback gain matrix, the velocity feedback gain is much more than the displacement feedback gain. For the difference between the velocity feedback gain and the displacement feedback gain, a modified velocity feedback controller is applied based on a dynamical model with the Hamilton principle to the smart beam. In addition, the feedback velocity is attained with the extended state observer and the displacement is acquired by the foil gauge on the root of the smart flexible beam. The control voltage is calculated by the designed velocity feedback gain multiplied by the feedback velocity. Through some experiment verifications for simulation results, it is indicated that the suppressed amplitude of free vibration is up to 62.13% while the attenuated magnitude of its velocity is up to 61.31%. Therefore, it is demonstrated that the modified velocity feedback control with the extended state observer is feasible to reduce free vibration.

Author(s):  
Yi Dong ◽  
Jian Li ◽  
Tong Li ◽  
Jie Wu

This work presents a novel robust control design approach for missile longitudinal autopilot under multiple disturbances and uncertainties. The uncertainties and disturbances of the missile dynamics are treated as a lumped disturbance based on the concept of equivalent input disturbance. Then a generalized extended state observer is employed to estimate the system states and the equivalent input disturbance in an integrated manner. These estimates are used to construct the state-feedback controller as well as to attenuate the effect of the exogenous disturbances and endogenous uncertainties. The state-feedback controller is obtained by solving the linear matrix inequalities of mixed [Formula: see text]/[Formula: see text] control problem, which provides an impressive flexibility to tune the controller to compromise between [Formula: see text] performance and [Formula: see text] performance. Closed-loop stability of the system under the presented controller-observer structure is also established. The proposed design tactfully circumvents the engineering implementation problems encountered by mixed [Formula: see text]/[Formula: see text] control, achieves strong robustness against disturbances and uncertainties, and does not involve any complicated nonlinear control methodologies. Numerical simulation results of nominal and perturbed performance comparisons with classic methods sufficiently demonstrate the feasibility and robustness of the proposed method.


2019 ◽  
Vol 39 (2) ◽  
pp. 435-450 ◽  
Author(s):  
Xinxin Wang ◽  
Xiaoqiang Yan

Rolling mills vibration is a key factor that hinders the production of thin-strip steel. Currently, vibration is mainly suppressed by adjusting rolling mill parameters which is not a common approach. Due to special working conditions, the information of work roll, such as displacement and velocity, cannot be directly measured. Therefore, based on extended state observer, new resonance ratio control method, which is a common approach, is proposed to suppress the rolling mill vibration. First, the equivalent mass of the back roll is identified. Then, the interaction force between the work roll and the back roll and the velocity of the back roll are estimated using the extended state observer. Finally, these values are introduced into the input of the servo valve to compensate. The simulation results indicate that vibrations of both the work roll and the back roll are suppressed, and this method has a great tolerance for the identification error of the back-roll equivalent mass, and extended state observer compensation possesses a more superior vibration suppression than disturbance observer compensation.


2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ze Zhang ◽  
Hamid Reza Karimi ◽  
Hai Huang ◽  
Kjell G. Robbersmyr

A feedback control method based on an extended state observer (ESO) method is implemented to vibration reduction in a typical semiactive suspension (SAS) system using a magnetorheological (MR) damper as actuator. By considering the dynamic equations of the SAS system and the MR damper model, an active disturbance rejection control (ADRC) is designed based on the ESO. Numerical simulation and real-time experiments are carried out with similar vibration disturbances. Both the simulation and experimental results illustrate the effectiveness of the proposed controller in vibration suppression for a SAS system.


2014 ◽  
Vol 134 (3) ◽  
pp. 241-251 ◽  
Author(s):  
Shouta Kawahara ◽  
Takashi Yoshioka ◽  
Kiyoshi Ohishi ◽  
Nguyen Hien ◽  
Toshimasa Miyazaki ◽  
...  

2021 ◽  
pp. 002029402110286
Author(s):  
Pu Yang ◽  
Peng Liu ◽  
ChenWan Wen ◽  
Huilin Geng

This paper focuses on fast terminal sliding mode fault-tolerant control for a class of n-order nonlinear systems. Firstly, when the actuator fault occurs, the extended state observer (ESO) is used to estimate the lumped uncertainty and its derivative of the system, so that the fault boundary is not needed to know. The convergence of ESO is proved theoretically. Secondly, a new type of fast terminal sliding surface is designed to achieve global fast convergence, non-singular control law and chattering reduction, and the Lyapunov stability criterion is used to prove that the system states converge to the origin of the sliding mode surface in finite time, which ensures the stability of the closed-loop system. Finally, the effectiveness and superiority of the proposed algorithm are verified by two simulation experiments of different order systems.


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