Compensation in Repetitive Control System for Aperiodic Disturbances and Input Dead Zone

Abstract This paper extends the equivalent-input-disturbance (EID) approach to deal with the problem of aperiodic disturbance rejection for a plant with an input dead zone in a repetitive-control system so as to improve control performance for the tracking of a periodic signal. Since a dead zone greatly degrades control performance, we apply the EID approach to design a compensator for the nonlinearity by treating it as an input-dependent disturbance. An EID estimator is constructed by making the best use of a full-order generalized state observer (GSO). And a method of designing the GSO is explained. The EID estimate, which exhibits the synthetic effect of the nonlinearity and the aperiodic disturbance, is incorporated into a repetitive control law to compensate for the nonlinearity and the aperiodic disturbance. This method does not require any information about the dead zone. It guarantees perfect tracking for periodic reference input and satisfactory compensation of input dead zone and aperiodic disturbance at the same time. Simulation results demonstrate the effectiveness of this method.

[1]  Min Wu,et al.  Active structural control with input dead zone based on equivalent-input-disturbance approach , 2010, IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society.

[2]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown dead-zone , 2004, Autom..

[3]  Mi-Ching Tsai,et al.  Robust and Optimal Control , 2014 .

[4]  P. Khargonekar,et al.  Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[5]  Hiroshi Hashimoto,et al.  Compensation of Unknown Input Dead Zone using Equivalent-Input-Disturbance Approach , 2012, ICINCO.

[6]  Michio Nakano,et al.  High Accuracy Control of a Proton Synchrotron Magnet Power Supply , 1981 .

[7]  Jun Yoneyama,et al.  Guaranteed Cost Output Feedback Control of Fuzzy Systems via LMI Approach , 2010, J. Adv. Comput. Intell. Intell. Informatics.

[8]  Min Wu,et al.  Active Disturbance Rejection Control Based on an Improved Equivalent-Input-Disturbance Approach , 2013, IEEE/ASME Transactions on Mechatronics.

[9]  P. Kokotovic,et al.  Adaptive nonlinear control of systems containing a deadzone , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[10]  Frank L. Lewis,et al.  Deadzone compensation in motion control systems using neural networks , 2000, IEEE Trans. Autom. Control..

[11]  Mingxing Fang,et al.  Improving Disturbance-Rejection Performance Based on an Equivalent-Input-Disturbance Approach , 2008, IEEE Transactions on Industrial Electronics.

[12]  Yaodong Pan,et al.  Equivalent-Input-Disturbance Approach—Analysis and Application to Disturbance Rejection in Dual-Stage Feed Drive Control System , 2011, IEEE/ASME Transactions on Mechatronics.

[13]  Min Wu,et al.  Global stabilization of 2-DOF underactuated mechanical systems—an equivalent-input-disturbance approach , 2012 .

[14]  Yong He,et al.  Design of a robust observer-based modified repetitive-control system. , 2013, ISA transactions.