Adaptive Control for Uncertain Continuous-Time Systems Using Implicit Inversion of Prandtl-Ishlinskii Hysteresis Representation

作者：Chen Xinkai^*; Hisayama Takeshi; Su Chun Yi

来源：IEEE Transactions on Automatic Control, 2010, 55(10): 2357-2363.

DOI：10.1109/TAC.2010.2053737

• Adaptive control
• continuous-time systems
• hysteresis
• Prandtl-Ishlinskii model

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.

• 出版日期2010-10