Disturbance Observer-Based Finite-Time Control for Systems with Nonlinearity and Disturbance

In order to achieve the goal of high control accuracy and fast convergence, a disturbance observer-based finite-time control (DOBFTC) strategy is presented for system with nonlinearity and disturbance with partially known information in this note. The disturbance with partially known information is estimated and rejected with the help of disturbance observer (DO). Combining with the DO and the finite-time theory, a DOBFTC strategy is put forward, which ensures the globally finite-time stable of the composite system. It not only speeds up the convergence rate but also realizes the high control precision of the system. Finally, a simulation example is provided to test the capability of the developed DOBFTC approach.

[1]  Mahdi Baradarannia,et al.  Finite-time-estimation-based surrounding control for a class of unknown nonlinear multi-agent systems , 2019 .

[2]  Zhiyong Geng,et al.  Arbitrary point-to-point stabilization control in specified finite time for wheeled mobile robots based on dynamic model , 2019, Nonlinear Dynamics.

[3]  Xinjiang Wei,et al.  Elegant anti-disturbance control for discrete-time stochastic systems with nonlinearity and multiple disturbances , 2018, Int. J. Control.

[4]  Lei Guo,et al.  Anti-disturbance control theory for systems with multiple disturbances: a survey. , 2014, ISA transactions.

[5]  Shihua Li,et al.  A speed control for a PMSM using finite-time feedback control and disturbance compensation: , 2010 .

[6]  D. Efimov,et al.  On finite‐time robust stabilization via nonlinear state feedback , 2018, International Journal of Robust and Nonlinear Control.

[7]  Fengzhen Hou,et al.  Visibility graph analysis of temporal irreversibility in sleep electroencephalograms , 2019, Nonlinear dynamics.

[8]  Xin Hu,et al.  Adaptive disturbance observer‐based control for stochastic systems with multiple heterogeneous disturbances , 2019, International Journal of Robust and Nonlinear Control.

[9]  Andrey Polyakov,et al.  Robust stabilization of MIMO systems in finite/fixed time , 2016 .

[10]  Gang Feng,et al.  Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems , 2012, Autom..

[11]  Xin Hu,et al.  Composite anti-disturbance control for stochastic systems with multiple heterogeneous disturbances and input saturation. , 2019, ISA transactions.

[12]  Bing Chen,et al.  Finite time control of switched stochastic nonlinear systems , 2019, Fuzzy Sets Syst..

[13]  Yi Zhang,et al.  Finite-Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T-S Fuzzy Model , 2013 .

[14]  Maria Letizia Corradini,et al.  Robust Control of Variable-Speed Wind Turbines Based on an Aerodynamic Torque Observer , 2013, IEEE Transactions on Control Systems Technology.

[15]  Xianfu Zhang,et al.  Output‐feedback control strategies of lower‐triangular nonlinear nonholonomic systems in any prescribed finite time , 2018, International Journal of Robust and Nonlinear Control.

[16]  Shihua Li,et al.  Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques , 2009 .

[17]  Bin Jiang,et al.  Adaptive Neural Control of Uncertain Nonlinear Systems Using Disturbance Observer , 2017, IEEE Transactions on Cybernetics.