Robust Design of the Uncertainty and Disturbance Estimator

Abstract In this paper, the robust design of the Uncertainty and Disturbance Estimator is tackled for a class of nonlinear systems. This strategy combines state-feedback control with a reduced-order disturbance observer. The design procedure is derived in the state-space framework, in contrast to frequency-based design methodologies, which are already studied in the literature. Based on Lyapunov theory, sufficient conditions to ensure closed-loop stability are given in terms of Linear Matrix Inequalities. Furthermore, a computable criterion is derived in order to obtain both the feedback gain matrix and the observer tuning ensuring robust asymptotic stability.

[1]  Emilia Fridman,et al.  An improved stabilization method for linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[2]  Sanjay E. Talole,et al.  Robust input–output linearisation using uncertainty and disturbance estimation , 2009, Int. J. Control.

[3]  Sanjay E. Talole,et al.  Performance Analysis of UDE based Controllers Employing Various Filters , 2016 .

[4]  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.

[5]  Dragoslav D. Siljak,et al.  Control design with arbitrary information structure constraints , 2008, Autom..

[6]  Jun Yang,et al.  Generalized Extended State Observer Based Control for Systems With Mismatched Uncertainties , 2012, IEEE Transactions on Industrial Electronics.

[7]  D. Siljak,et al.  Robust stabilization of nonlinear systems: The LMI approach , 2000 .

[8]  T. S. Chandar,et al.  Improving the performance of UDE-based controller using a new filter design , 2014 .

[9]  Wenchao Xue,et al.  Active disturbance rejection control: methodology and theoretical analysis. , 2014, ISA transactions.

[10]  Shihua Li,et al.  Non-linear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties , 2011 .

[11]  Lei Guo,et al.  How much uncertainty can be dealt with by feedback? , 2000, IEEE Trans. Autom. Control..

[12]  Jin-Hua She,et al.  Improved bounded-real-lemma representation and H∞ control of systems with polytopic uncertainties , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[13]  Pedro Albertos,et al.  Predictor-Based Control of a Class of Time-Delay Systems and Its Application to Quadrotors , 2017, IEEE Transactions on Industrial Electronics.

[14]  Richard Stobart,et al.  Design of UDE‐based controllers from their two‐degree‐of‐freedom nature , 2011 .

[15]  T. S. Chandar,et al.  Robust control of robot manipulators based on uncertainty and disturbance estimation , 2013 .

[16]  Bao-Zhu Guo,et al.  On the convergence of an extended state observer for nonlinear systems with uncertainty , 2011, Syst. Control. Lett..

[17]  Hyungbo Shim,et al.  A study of disturbance observers with unknown relative degree of the plant , 2014, Autom..

[18]  Qing-Chang Zhong,et al.  Robust Control of Quadrotors Based on an Uncertainty and Disturbance Estimator , 2016 .

[19]  Qing-Chang Zhong,et al.  Control of Uncertain LTI Systems Based on an Uncertainty and Disturbance Estimator , 2004 .

[20]  Lei Guo,et al.  Disturbance-Observer-Based Control and Related Methods—An Overview , 2016, IEEE Transactions on Industrial Electronics.

[21]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..