Design of equivalent-input-disturbance estimator using a generalized state observer

In this paper, we present a design method based on the concept of equivalent input disturbance (EID) to reject disturbances for a linear time-invariant system. A generalized state observer (GSO) is used to estimate an EID of the external disturbances, and the pole-assignment algorithm is employed to select the matrices of the GSO. Simulation and experimental results of a rotational speed control system demonstrate the validity of our method.

[1]  W. Rugh.  Linear System Theory , 1992 .

[2]  M. Tomizuka,et al.  High performance robust motion control of machine tools: an adaptive robust control approach and comparative experiments , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[3]  Pramod P. Khargonekar,et al.  Robust control theory , 1995 .

[4]  Krzysztof Pietrusewicz,et al.  A method for improving the robustness of PID control , 2005, IEEE Transactions on Industrial Electronics.

[5]  Hyuk Lim,et al.  Model-based disturbance attenuation for CNC machining centers in cutting process , 1999 .

[6]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[7]  Wilson J. Rugh,et al.  Linear system theory (2nd ed.) , 1996 .

[8]  Ding Lia.  Disturbance Rejection Based on Disturbance Observation for Magnetic Suspended Rotor , 2009 .

[9]  Lei Guo,et al.  Estimation of unknown sinusoidal disturbances using two-step nonlinear observer , 2011, Proceedings of the 30th Chinese Control Conference.

[10]  Zhengtao Ding,et al.  Asymptotic Rejection of General Periodic Disturbances in Output-feedback Nonlinear Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[11]  Max Donath,et al.  American Control Conference , 1993 .

[12]  Ather Gattami,et al.  Generalized Linear Quadratic Control , 2010, IEEE Transactions on Automatic Control.

[13]  Qingding Guo,et al.  Model-based Disturbance Attenuation for Linear Motor Servo System , 2006, 2006 CES/IEEE 5th International Power Electronics and Motion Control Conference.

[14]  G. Stein,et al.  Robustness with observers , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[15]  Yuehong Dai,et al.  Fuzzy PID Control and Simulation Experiment on Permanent Magnet Linear Synchronous Motors , 2010, 2010 International Conference on Electrical and Control Engineering.

[16]  Il Hong Suh,et al.  On the robustness and performance of disturbance observers for second-order systems , 2003, IEEE Trans. Autom. Control..

[17]  Riccardo Marino,et al.  Adaptive tracking and disturbance rejection for uncertain nonlinear systems , 2005, IEEE Transactions on Automatic Control.

[18]  N.R.N. Idris,et al.  Sliding mode variable structure control design principles and application to DC drives , 2004, PECon 2004. Proceedings. National Power and Energy Conference, 2004..

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

[20]  Bin Yao,et al.  Observer-Based Adaptive Robust Control of Friction Stir Welding Axial Force , 2011 .

[21]  Aaron B. Wagner,et al.  Feedforward control for reduced run-to-run variation in microelectronics manufacturing , 1999 .

[22]  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.

[23]  Shisheng Huang,et al.  Research on the controller of an arc welding process based on a PID neural network , 2008 .