On Higher-Order Truncated Predictor Feedback for Linear Systems with Input Delay
This paper is concerned with the problem of stabilizing a linear system with input delay. Motivated by the firstorder truncated predictor feedback (TPF) approach recently developed by the authors, a general higher-order TPF controller that contains higher-order terms of the nominal feedback gains is proposed. It is shown that this higher-order TPF can also globally and semi-globally stabilize the concerned time-delay systems in the absence and in the presence of input saturation, respectively. Safe implementation via numerical approximation of this higher-order TPF is also established. However, in spite of the fact that the higher-order TPF utilizes more information of the state, numerical examples have demonstrated that the first-order TPF outperforms the higher-order TPF, indicating that the intuition of higher-order approximation leading to better results is incorrect in this case.
Truncated predictor feedback Time-delay systems Parametric Lyapunov equation Stabilization
Bin ZHOU Zhao-Yan LI Zongli LIN
Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. Box 416, Har Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlott
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
836-841
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）