Stability and robust position control of hysteretic systems

作者：Valadkhan Sina; Morris Kirsten^*; Khajepour Amir

来源：International Journal of Robust and Nonlinear Control, 2010, 20(4): 460-471.

DOI：10.1002/rnc.1457

• hysteretic system
• tracking
• smart materials
• stability
• Preisach model

Position control of a wide class of hysteretic systems. which includes those described by a Preisach model. is considered. The main focus of this paper is stability. tracking and the trajectories of a hysteretic system controlled by a PI controller. The system Output (not its derivative) is measured and controlled. It is shown that, for arbitrary reference signals, the closed-loop system is bounded-input-bounded-output-stable with a finite gain of one. Furthermore the absolute value of the en-or decreases monotonically for it constant reference signal. In this case, provided that the desired Output is within the limits of the system Output, zero steady-state error is guaranteed. A bound on the time required to achieve it specified en-or is obtained. Only it simple condition on the controller parameters is required. The results imply that stability and position control are guaranteed, even if large errors in the model exist.

• 出版日期2010-3-10