Stabilization of a system with saturating, non-monotone hysteresis and frequency dependent power losses by a PD controller

6th International Workshop on Multi-Rate Processes and Hysteresis

Ekanayake, D.B.^1 ; Iyer, R.V.^2

Mathematics Department, Western Illinois University, Macomb

IL

61455, United States^1

Department of Mathematics and Statistics, Texas Tech University, Lubbock

TX

79409, United States^2

关键词: Actuator hysteresis;    Closed loop stability;    Frequency dependent;    Inverse computation;    Least squares minimization;    PD controllers;    Power-losses;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/585/1/012006/pdf
DOI  :  10.1088/1742-6596/585/1/012006

来源: IOP

【 摘 要 】

We prove the closed loop stability of a PD controller for certain systems with saturating, non-monotone hysteresis and frequency dependent power losses. Most controllers use inverse compensators to cancel out actuator hysteresis nonlinearity. We show that we can achieve stability of the closed-loop system without an explicit inverse computation (using least squares minimization or otherwise).