Showing papers by "Xinkai Chen published in 2005"

Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis

Abstract: Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task and has received increasing attention in recent years due to growing industrial demands involving varied applications. In the literature, many mathematical models have been proposed to describe the hysteresis nonlinearities. The challenge addressed here is how to fuse those hysteresis models with available robust control techniques to have the basic requirement of stability of the system. The purpose of the note is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. An adaptive variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulation results attained for a nonlinear system are presented to illustrate and further validate the effectiveness of the proposed approach.

Hybrid stabilization of discrete-time LTI systems with two quantized signals

Abstract: GUISHENG ZHAI∗, YUUKI MATSUMOTO∗∗, XINKAI CHEN∗∗∗ JOE IMAE∗, TOMOAKI KOBAYASHI∗ ∗ Department of Mechanical Engineering Osaka Prefecture University Sakai, Osaka 599–8531, Japan e-mail: zhai@me.osakafu-u.ac.jp ∗∗ Department of Opto-Mechatronics Wakayama University Sakaedani, Wakayama 640–8510, Japan ∗∗∗ Department of Electronic and Information Systems Shibaura Institute of Technology Saitama 337–8570, Japan e-mail: chen@sic.shibaura-it.ac.jp

Backstepping based variable structure control of a class of nonlinear systems preceded by hysteresis

Abstract: Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task. In the literature, many mathematical models have been proposed to describe the hysteresis. The challenge addressed here is how to fuse those hysteresis models with control techniques to have the basic requirement of stability of the system. The purpose of the paper is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. A backstepping based variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.

On the control of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis

Abstract: Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task and has received great attention recently due to increasing industrial demands. In the literature, many mathematical models have been proposed to describe the hysteresis. The challenge addressed here is how to fuse those hysteresis models with available robust control techniques to have the basic requirement of stability of the system. The purpose of the paper is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. An adaptive variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.