A novel continuous finite-time disturbance observer design and its application

In this paper, we will investigate the problem of continuous finite-time disturbance observer (CFTDO) design and its application in the finite-time control (FTC) for systems subject to non-vanishing disturbances. First of all, based on the homogeneous domination approach and state saturation technique, a CFTDO design approach is proposed such that the disturbance can be precisely estimated in finite time. Then, the proposed CFTDO design approach is used to solve the finite-time stabilization problem for a class nonlinear circuit systems subject to non-vanishing disturbance. Finally, a composite controller consisting of a baseline FTC law and a feedforward compensation term based on the estimation of CFTDO is constructed for the nonlinear circuit system. It is shown that under the proposed composite controller the nonlinear circuit system can be stabilised. The proposed CFTDO and control strategy are confirmed by simulation results.

[1]  Zhong-Ping Jiang,et al.  Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design , 2010, SIAM J. Control. Optim..

[2]  Ji Li,et al.  A dual‐observer design for global output feedback stabilization of nonlinear systems with low‐order and high‐order nonlinearities , 2009 .

[3]  D. Ho,et al.  Stabilization of non-linear differential-algebraic equation systems , 2004 .

[4]  Geng Yang,et al.  Finite-Time-Convergent Differentiator Based on Singular Perturbation Technique , 2007, IEEE Transactions on Automatic Control.

[5]  Wen-Hua Chen,et al.  Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach , 2005 .

[6]  N. McClamroch.  Feedback stabilization of control systems described by a class of nonlinear differential-algebraic equations , 1990 .

[7]  Chunjiang Qian,et al.  A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[8]  Zhong-Ping Jiang,et al.  Backstepping Design for Stabilization of Nonlinear Differential-Algebraic Systems , 2005 .

[9]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[10]  Wilfrid Perruquetti,et al.  A Global High-Gain Finite-Time Observer , 2010, IEEE Transactions on Automatic Control.

[11]  L. Dai,et al.  Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

[12]  Lei Guo,et al.  Disturbance-observer-based control & ℋ∞ control for non-linear Markovian jump singular systems with multiple disturbances , 2014 .

[13]  Wen-Hua Chen,et al.  Disturbance observer based control for nonlinear systems , 2004, IEEE/ASME Transactions on Mechatronics.

[14]  Chunjiang Qian,et al.  Global Output Feedback Stabilization of a Class of Nonlinear Systems With Multiple Output , 2013 .

[15]  Liu Yanhong,et al.  Feedback control of nonlinear differential algebraic systems using Hamiltonian function method , 2006 .

[16]  Bao-Zhu Guo,et al.  Weak Convergence of Nonlinear High-Gain Tracking Differentiator , 2013, IEEE Transactions on Automatic Control.

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

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

[19]  Kouhei Ohnishi,et al.  Microprocessor-Controlled DC Motor for Load-Insensitive Position Servo System , 1985, IEEE Transactions on Industrial Electronics.

[20]  Yoichi Hori,et al.  Robust speed control of DC servomotors using modern two degrees-of-freedom controller design , 1991 .

[21]  Wen-Hua Chen,et al.  Disturbance observer based control for nonlinear systems , 2004 .

[22]  Shengyuan Xu,et al.  Robust Control and Filtering of Singular Systems , 2006 .

[23]  Yanhong Liu,et al.  Feedback control of nonlinear differential algebraic systems using Hamiltonian function method , 2006, Science in China Series F: Information Sciences.

[24]  Qixun Lan,et al.  Robust reliable guaranteed cost control for uncertain singular systems with time-delay , 2010 .

[25]  Yuehua Huang,et al.  Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers , 2009, IEEE Transactions on Automatic Control.

[26]  Wei Lin,et al.  A global observer for autonomous systems with bounded trajectories , 2007 .

[27]  Ricardo Riaza.  Double SIB points in differential-algebraic systems , 2003, IEEE Trans. Autom. Control..

[28]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[29]  Chunyu Yang,et al.  Lyapunov Stability and Strong Passivity Analysis for Nonlinear Descriptor Systems , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

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

[32]  Weiyao Lan,et al.  Output feedback composite nonlinear feedback control for singular systems with input saturation , 2015, J. Frankl. Inst..

[33]  D. Hill,et al.  Stability theory for differential/algebraic systems with application to power systems , 1990 .

[34]  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.

[35]  Yuri B. Shtessel,et al.  Smooth second-order sliding modes: Missile guidance application , 2007, Autom..

[36]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[37]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[38]  Wen-Hua Chen,et al.  Harmonic Disturbance Observer for Nonlinear Systems , 2003 .

[39]  Xue Wenchao,et al.  ACTIVE DISTURBANCE REJECTION CONTROL:METHODOLOGY AND THEORETICAL ANALYSIS , 2011 .

[40]  Gang Feng,et al.  Finite-time stabilization and H∞ control for a class of nonlinear Hamiltonian descriptor systems with application to affine nonlinear descriptor systems , 2014, Autom..

[41]  Zhiqiang Gao,et al.  Modified active disturbance rejection control for time-delay systems. , 2014, ISA transactions.

[42]  Jun Yang,et al.  Disturbance Observer-Based Control: Methods and Applications , 2014 .

[43]  Suiyang Khoo,et al.  Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback , 2015, Int. J. Control.