Design of Repetitive-Control System With Input Dead Zone Based on Generalized Extended-State Observer

2017 ◽  
Vol 139 (7) ◽  
Author(s):  
Min Wu ◽  
Pan Yu ◽  
Xin Chen ◽  
Jinhua She
Keyword(s):  
Control System ◽  
Dead Zone ◽  
Repetitive Control ◽  
State Observer ◽  
Control Technique ◽  
Linear Matrix ◽  
Tuning Parameters ◽  
Assignment Method ◽  
Exogenous Disturbance ◽  
The Stability

This paper concerns a repetitive-control system with an input-dead-zone (IDZ) nonlinearity. First, the expression for the IDZ is decomposed into a linear term and a disturbance-like one that depends on the parameters of the dead zone. A function of the system-state error is used to approximate the combination of the disturbancelike term and an exogenous disturbance. The estimate is used to compensate for the overall effect of the IDZ and the exogenous disturbance. Next, the state-feedback gains are obtained from a linear matrix inequality that contains two tuning parameters for adjusting control performance; and the pole assignment method is employed to design the gain of a state observer. Then, two stability criteria are used to test the stability of the closed-loop system. The method is simple, employing neither an inverse model of the plant nor an adaptive control technique. It is also robust with regard to the different parameters of the IDZ, uncertainties in the plant, and the exogenous disturbance. Finally, two numerical examples demonstrate the effectiveness of this method and its advantages over others.

scholarly journals H∞ Controller Design for an Observer-Based Modified Repetitive-Control System

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Shaowu Zhou ◽  
Qiwei Chen
Keyword(s):  
Control System ◽  
Controller Design ◽  
Linear Time ◽  
Repetitive Control ◽  
State Observer ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Design Algorithm ◽  
Linear Time Invariant ◽  
Value Decomposition

This paper presents a method of designing a state-observer based modified repetitive-control system that provides a given H∞ level of disturbance attenuation for a class of strictly proper linear plants. Since the time delay in a repetitive controller can be treated as a kind of disturbance, we convert the system design problem into a standard state-feedback H∞ control problem for a linear time-invariant system. The Lyapunov functional and the singular-value decomposition of the output matrix are used to derive a linear-matrix-inequality (LMI) based design algorithm for the parameters of the feedback controller and the state-observer. A numerical example demonstrates the validity of the method.

Design of Robust Modified Repetitive-Control System for Linear Periodic Plants

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Min Wu ◽  
Jie Zhang
Keyword(s):  
Control System ◽  
Repetitive Control ◽  
Robust Stabilization ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Stabilization Problem ◽  
Tuning Parameters ◽  
2D System ◽  
Asymptotic Stability Condition

This paper concerns a linear-matrix-inequality (LMI)-based method of designing a robust modified repetitive-control system (MRCS) for a class of strictly proper plants with periodic uncertainties. It exploits the nature of control and learning and the periodicity and continuity of repetitive control to convert the design problem into a robust stabilization problem for a continuous-discrete 2D system. The LMI technique and Lyapunov stability theory are used to derive an LMI-based asymptotic stability condition that can be used directly in the design of the gains of the repetitive controller. Two tuning parameters in the condition enable preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

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, 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.

scholarly journals A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

2014 ◽  
Vol 24 (2) ◽  
pp. 325-334 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Shaowu Zhou
Keyword(s):  
Control System ◽  
Output Feedback ◽  
Repetitive Control ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Control Input ◽  
Dynamic Output Feedback ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller

Abstract This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

scholarly journals Stability Analysis of Networked Control System Using LMI Approach

2018 ◽  
Vol 7 (2.31) ◽  
pp. 249
Author(s):  
Richa Sharma ◽  
Deepak Nagaria
Keyword(s):  
Communication Network ◽  
Control System ◽  
Closed Loop ◽  
Sampling Period ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Matlab Simulation ◽  
Closed Loop System ◽  
The Stability

Networked control system is a closed loop system in which information or data travel through the communication network. The presence of communication network will increase time delay and information losses. Due to these losses and delay the performance of the system decreases. This paper represents an analysis to find the stability of the networked control system with the varying time hindrances present in the network. In this research, it has been assumed that the delay in time is less than the sampling period. The stability conditions for NCS have been procured with the use of the Lyapunov function approach and has been described in terms of LMI(Linear Matrix Inequality).This examination confirm the adequate state of stability through MATLAB simulation and the numerical case demonstrates the outcome.  

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.

Design of PI Controller With Three-Loop Structure for Power Balance of Turboshaft

2014 ◽  
Author(s):  
Chao Yang ◽  
Xi Wang ◽  
Mengni Liu ◽  
Ruijun Shi ◽  
Shihuang Gao
Keyword(s):  
Control System ◽  
Inequality Constraints ◽  
Pi Controller ◽  
Pole Placement ◽  
Linear Matrix ◽  
Control Loops ◽  
Output Torque ◽  
Pi Controllers ◽  
The Stability ◽  
Regional Pole Placement

Turboshaft control systems are designed to keep the stability of helicopter, which requires that the powerturbine rotor speed remains constant. Furthermore, the power provided by each engine on the same aircraft is probably not equal if the control system provides the same fuel to each one. In this paper, a control loop aiming at balancing engine output torque and load system demand torque was added in the traditional speed-control system. Then a new structure of PI controller was developed with three control loops. Besides, the research showed this control system could be improved to keep the output torque of each engine equal to deal with the different performance degradations of different engines. Finally, the parameters of PI controllers in this control system were achieved by constructing and solving linear matrix inequality constraints based on the theory of regional pole placement for closed-loop system.

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