A Digital Segmented Repetitive Control Algorithm

1994 ◽  
Vol 116 (4) ◽  
pp. 577-582 ◽  
Author(s):  
Jwusheng Hu ◽  
Masayoshi Tomizuka
Keyword(s):  
Internal Model ◽  
Control Algorithm ◽  
Repetitive Control ◽  
Reference Signal ◽  
Control Law ◽  
Memory Space ◽  
Periodic Disturbance ◽  
Internal Model Principle ◽  
Control Actions ◽  
Repetitive Controller

This paper presents the structure and analysis of the segmented discrete-time repetitive controller. The repetitive controller is designed to reject periodic disturbance and/or track periodic reference signal with known period. Resulted from the Internal Model Principle, the repetitive control law is applied to the entire control path. However, when crucial segments within a control path are of concern, the segmented repetitive control law, which applies control actions only to those segments, can be utilized to save the memory space. It is shown that such a segmented repetitive control system is stable if the original nonsegmented one is stable.

Repetitive Control for Rejection of Periodic Multiplicative Disturbances and Adaptive Identification of the Unknown Period

2004 ◽  
Author(s):  
Sandipan Mishra ◽  
Manabu Yamada ◽  
Masayoshi Tomizuka
Keyword(s):  
Control Algorithm ◽  
Closed Loop ◽  
Design Method ◽  
Repetitive Control ◽  
Adaptive Controller ◽  
Least Mean Square ◽  
Closed Loop System ◽  
Internal Model Principle ◽  
Periodic Disturbances ◽  
The Stability

Repetitive control has been used extensively for rejection of periodic disturbances, in systems that have to follow periodic trajectories. To date, most repetitive controllers have focused on rejection of additive periodic disturbances. This paper suggests the use of a repetitive control algorithm for rejection of periodic multiplicative disturbances. The first result is a simple design method of a new controller to reject the multiplicative disturbance effectively, provided that the period of the disturbance is known. This controller is based on the internal model principle and the design method consists of a simple norm condition. It is shown that this repetitive-type controller can reject the disturbance. The second result is an extension of the first one to the case that the period of the disturbance is unknown. A period estimator is added to the control system to identify the period of the multiplicative disturbance. The algorithm, consisting of an adaptive recursive least mean square method, is simple. It is shown that this adaptive controller can reject the disturbance with an uncertain period and guarantee the stability of the adaptive closed-loop system including the period estimator.

scholarly journals Global Harmonic Current Rejection of Nonlinear Backstepping Control with Multivariable Adaptive Internal Model Principle for Grid-Connected Inverter under Distorted Grid Voltage

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
Yang Yu ◽  
Zengqiang Mi ◽  
Yiming Che ◽  
Tong Zhao ◽  
Yikun Xu
Keyword(s):  
Internal Model ◽  
Backstepping Control ◽  
Control Law ◽  
Current Harmonics ◽  
Grid Voltage ◽  
Internal Model Principle ◽  
Harmonic Rejection ◽  
Distorted Grid ◽  
Grid Connected Inverter ◽  
Nonlinear Backstepping Control

Based on a brief review on current harmonics generation mechanism for grid-connected inverter under distorted grid voltage, the harmonic disturbances and uncertain items are immersed into the original state-space differential equation of grid-connected inverter. A new algorithm of global current harmonic rejection based on nonlinear backstepping control with multivariable internal model principle is proposed for grid-connected inverter with exogenous disturbances and uncertainties. A type of multivariable internal model for a class of nonlinear harmonic disturbances is constructed. Based on application of backstepping control law of the nominal system, a multivariable adaptive state feedback controller combined with multivariable internal model and adaptive control law is designed to guarantee the closed-loop system globally uniformly bounded, which is proved by a constructed Lyapunov function. The presented algorithm extends rejection of nonlinear single-input systems to multivariable globally defined normal form, the correctness and effectiveness of which are verified by the simulation results.

scholarly journals Design of IMC Oriented PID Control Law for Typical Thermal Process in Thermal Power Plant

2018 ◽  
Author(s):  
Yin Ke
Keyword(s):  
Pid Control ◽  
Internal Model ◽  
Control Algorithm ◽  
Applied Research ◽  
Thermal Power ◽  
Development Trend ◽  
Control Mode ◽  
Control Law ◽  
Parameter Setting ◽  
Parameter Perturbation

In the development of automatic control, PID control is the oldest of the basic control mode, the control algorithm is the most widely used in engineering, especially the applied research of robustness has extensive engineering practical value. In this paper, based on the principle of the internal model PID parameter setting method was studied, through different approximate processing method, derived the three different formula of PID internal model setting and simulation verify the effectiveness of the algorithm. At the same time, the robustness of the controlled process under different parameter perturbation is theoretically analyzed and simulated.Finally, the paper summarizes the whole paper and looks forward to the future development trend.

scholarly journals Linear Optimal Multi-periodic Repetitive Control - A Low Order Controller Scheme

2011 ◽  
Vol 2 (1) ◽  
pp. 1-16
Author(s):  
Youde HAN ◽  
David H. OWENS ◽  
Bing CHU
Keyword(s):  
Closed Loop ◽  
Repetitive Control ◽  
Reference Signal ◽  
Experimental Tests ◽  
Closed Loop System ◽  
Computational Problem ◽  
Mass Damper ◽  
Periodic Components ◽  
Time Linear ◽  
Repetitive Controller

This article proposes a new method for treating the computational problem in discrete time linear multi-periodic repetitive control systems, where the reference signal includes several periodic components with already known periods.  As periods get large, the computational problem becomes prominent. This work thus investigates the frequency contents of reference signals, where the order of original repetitive controller is lowered by considering only a reduced number of poles, namely, the most important contributors to the total energy of the multi-periodic reference signal. A lower order multi-periodic repetitive controller is designed which assures BIBO stability of the closed-loop system, and approximate tracking is achieved. Finally, experimental tests on a non-minimum phase spring mass damper system demonstrate the effectiveness of this new controller.

Adaptive Periodic Noise Cancellation for Cooling Fans With Varying Rotational Speed

2007 ◽  
Author(s):  
Charles E. Kinney ◽  
Raymond A. de Callafon
Keyword(s):  
Internal Model ◽  
Control Algorithm ◽  
State Feedback ◽  
Random Noise ◽  
Feedback Gain ◽  
Time Varying ◽  
Internal Model Principle ◽  
Cooling Fans ◽  
Novel Method ◽  
Time Invariant

This paper presents a novel method of simultaneously tracking and rejecting time-varying sinusoids in the presence of random noise by using feedback control. The technique applies the internal model-principle to time-varying disturbances by using an extended Kalman filter to create time-varying gains and a time-varying internal model. The state feedback gain, however, is not time-varying and is designed using standard time-invariant LQR methods. This control algorithm is applied to active noise cancelation and in simulations is shown to converge quickly in the presence of noise. Methods of improving convergence of this algorithm are discussed.

Sign in / Sign up

Export Citation Format

Share Document