Xiaoying Zhang, Shugen Chai
Abstract:
We consider the stabilization for 1-D hyperbolic differential equations
with boundary input including a nonlinear disturbance.
The time varying extended state observer (ESO) is designed
to estimate the disturbance. Based on the estimated disturbance, we obtain
an explicit controller by applying the backstepping method.
It is shown that the closed-loop system of the 1-D hyperbolic differential
equation is asymptotically stable under this controller. This result is
illustrated by simulation examples.
Submitted December 12, 2014. Published March 18, 2015.
Math Subject Classifications: 49K20, 93C20.
Key Words: Extended state observer; disturbance rejection;
backstepping method; 1-D hyperbolic equation.
Show me the PDF file (275 KB), TEX file, and other files for this article.
Xiaoying Zhang School of Mathematical Science Shanxi University email: zxybetter@163.com | |
Shugen Chai School of Mathematical Science Shanxi University Taiyuan 030006, China email: sgchai@sxu.edu.cn, Phone +863517010555 |
Return to the EJDE web page