Title :
Adaptive Control for Uncertain Continuous-Time Systems Using Implicit Inversion of Prandtl-Ishlinskii Hysteresis Representation
Author :
Chen, Xinkai ; Hisayama, Takeshi ; Su, Chun-Yi
Author_Institution :
Dept. of Electron. & Inf. Syst., Shibaura Inst. of Technol., Saitama, Japan
Abstract :
In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.
Keywords :
adaptive control; continuous time systems; control nonlinearities; control system analysis; hysteresis; linear systems; nonlinear control systems; stability; uncertain systems; Prandtl-Ishlinskii hysteresis representation; adaptive control; continuous-time linear dynamical system; hysteresis nonlinearities; implicit inversion; operator-based hysteresis model; stability analysis; uncertain continuous-time system; zero-output tracking error; Adaptive control; Control systems; Error correction; Hysteresis; Information systems; Inverse problems; Magnetic analysis; Magnetostriction; Piezoelectric actuators; Stability analysis; Adaptive control; Prandtl–Ishlinskii model; continuous-time systems; hysteresis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2053737
