Stabilization of Chaotic Systems With Both Uncertainty and Disturbance by the UDE-Based Control Method

This paper investigates the stabilization of a class of chaotic systems with both model uncertainty and external disturbance. By combining the dynamic feedback control method, and the uncertainty and disturbance estimator (UDE)-based control method, a new UDE-based control method is developed. By using this method, the system stabilization can be achieved by three steps. Illustrative examples using numerical simulations verify the soundness and effectiveness of the proposed method.

[1]  Rongwei Guo,et al.  Projective synchronization of a class of chaotic systems by dynamic feedback control method , 2017 .

[2]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[3]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[4]  Xi Chen,et al.  Robust input-to-output stabilization of nonlinear systems , 2016, WCICA 2016.

[5]  Grebogi,et al.  Controlling chaos in high dimensional systems. , 1992, Physical review letters.

[6]  Haoran Cai,et al.  Strong Robust and Optimal Chaos Control for Permanent Magnet Linear Synchronous Motor , 2019, IEEE Access.

[7]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.

[8]  N. Abraham,et al.  Global stability properties of the complex Lorenz model , 1996 .

[9]  Jun Wang,et al.  A Color Image Encryption Using Dynamic DNA and 4-D Memristive Hyper-Chaos , 2019, IEEE Access.

[10]  Her-Terng Yau,et al.  Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs , 2008 .

[11]  Yannick De Decker,et al.  Emergence of chaos in a spatially confined reactive system , 2016 .

[12]  Gaurav Bhatnagar,et al.  A novel chaos-based secure transmission of biometric data , 2015, Neurocomputing.

[13]  Guo Rong-Wei.  Simultaneous Synchronization and Anti-Synchronization of Two Identical New 4D Chaotic Systems , 2011 .

[14]  Pedro Casau,et al.  Robust Global Exponential Stabilization on the n-Dimensional Sphere with Applications to Trajectory Tracking for Quadrotors , 2019, Autom..

[15]  Celso Grebogi,et al.  Wireless communication with chaos. , 2013, Physical review letters.

[16]  Rongwei Guo,et al.  Control problems of Chen–Lee system by adaptive control method , 2017 .

[17]  Rongwei Guo.  A simple adaptive controller for chaos and hyperchaos synchronization , 2008 .

[18]  Beibei Ren,et al.  Robust Control for a Class of Nonaffine Nonlinear Systems Based on the Uncertainty and Disturbance Estimator , 2015, IEEE Transactions on Industrial Electronics.