Mittag‐Leffler stabilization for an unstable time‐fractional anomalous diffusion equation with boundary control matched disturbance

• Published in: International journal of robust and nonlinear control Vol. 29; no. 13; pp. 4384 - 4401
• Main Authors: Zhou, Hua‐Cheng, Lv, Chunwan, Guo, Bao‐Zhu, Chen, YangQuan
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.09.2019
• Subjects: Active control; active disturbance rejection control (ADRC); Boundary control; Closed loops; Control theory; High gain; Mittag‐Leffler stabilization; Stabilization; time‐fractional anomalous diffusion equation

Summary This paper addresses the Mittag‐Leffler stabilization for an unstable time‐fractional anomalous diffusion equation with boundary control subject to the control matched disturbance. The active disturbance rejection control (ADRC) approach is adopted for developing the control law. A state‐fee...