Design of an Observer-Based Repetitive Control System to Reject Periodic Disturbance

2016 ◽  
Vol 25 (06) ◽  
pp. 1650061 ◽  
Author(s):  
Zhen Shao ◽  
Zhengrong Xiang
Keyword(s):  
Control System ◽  
Disturbance Rejection ◽  
Lyapunov Functional ◽  
Repetitive Control ◽  
Sufficient Condition ◽  
Two Dimensional ◽  
Periodic Disturbance ◽  
Repetitive Learning ◽  
The Stability ◽  
2D Model

This paper concerns the design of an observer-based repetitive control system (RCS) to improve the periodic disturbance rejection performance. The periodic disturbance is estimated by a repetitive learning based estimator (RLE) and rejected by incorporation of the estimation into a repetitive control (RC) input. Firstly, the configuration of the observer-based RCS with the RLE is described. Then, a continuous–discrete two-dimensional (2D) model is built to describe the RCS. By choosing an appropriate Lyapunov functional, a sufficient condition is proposed to guarantee the stability of the RCS. Finally, a numerical example is given to verify the effectiveness of the proposed method.

scholarly journals Modeling and stabilization of eccentric gravity machinery

2018 ◽  
Vol 10 (1) ◽  
pp. 168781401775178
Author(s):  
Wu-Sung Yao
Keyword(s):  
Control System ◽  
Digital Signal Processor ◽  
Repetitive Control ◽  
Electric Energy ◽  
Digital Signal ◽  
Control Performance ◽  
Velocity Control ◽  
Stability Performance ◽  
The Stability ◽  
And Control

In general, eccentric gravity machinery is a rotation mechanism with eccentric pendulum mechanism, which can be used to convert continuously kinetic energy generated by gravity energy to electric energy. However, a stable rotated velocity of the eccentric gravity machinery is difficult to be achieved only using gravity energy. In this article, a stable velocity control system applied to eccentric gravity machinery is proposed. The dynamic characteristic of eccentric gravity machinery is analyzed and its mathematical model is established, which is used to design the controller. A stable running velocity of the eccentric gravity machinery can be operated by the controlled servomotor. Due to disturbances being periodic, repetitive controller is installed to velocity control loop. The stability performance and control performance of the repetitive control system are discussed. The iterative algorithm of the repetitive control is executed by a digital signal processor TI TMS320C32 floating-point processor. Simulated and experimental results are reported to verify the performance of the proposed eccentric gravity machinery control system.

Design of observer-based discrete repetitive-control system based on 2D model

2014 ◽  
Vol 21 (11) ◽  
pp. 4236-4243 ◽  
Author(s):  
Zhao-hong Wang ◽  
Ling-zhi Yi ◽  
Yong-hong Lan ◽  
Cai-xue Chen
Keyword(s):  
Control System ◽  
Repetitive Control ◽  
2D Model

Design, Model on MATLAB and Realization by C Language about Repetitive Control

2011 ◽  
Vol 467-469 ◽  
pp. 1438-1443
Author(s):  
Hu Huang ◽  
Jia Fen He
Keyword(s):  
Control System ◽  
Repetitive Control ◽  
Design Model ◽  
Parameter Design ◽  
Control Technology ◽  
Voltage Waveform ◽  
Matlab Software ◽  
C Language ◽  
Waveform Distortion ◽  
The Stability

Voltage waveform distortion of Aeronautical Static Inverter (ASI) has a solution, which is the repetitive control technology. In this paper, have established the model of repetitive control system; have stated its principles and method of parameter design; have proved the stability of repetitive control system; have verified the validity of it in MATLAB software; finally have established its C language procedure.

Robust disturbance rejection in modified repetitive control system

2014 ◽  
Vol 70 ◽  
pp. 100-108 ◽  
Author(s):  
Rui-Juan Liu ◽  
Guo-Ping Liu ◽  
Min Wu ◽  
Jinhua She ◽  
Zhuo-Yun Nie
Keyword(s):  
Control System ◽  
Disturbance Rejection ◽  
Repetitive Control

scholarly journals Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system

2016 ◽  
Vol 26 (2) ◽  
pp. 285-295 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Chaoyi Li ◽  
Changzhong Pan
Keyword(s):  
Control System ◽  
Output Feedback ◽  
Disturbance Rejection ◽  
Closed Loop ◽  
Repetitive Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Dimensional Model ◽  
Closed Loop System ◽  
Output Feedback Controller

Abstract This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.

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