Backstepping Control Design for Stochastic Hamiltonian Systems
In this paper, the problem of adaptive tracking for a class of stochastic Hamiltonian control systems with unknown nonlinear drift and diffusion functions is considered. Some dif.culties come forth: integral chain consists of vectors, unknown control gain is a de.nite-positive matrix, and control and tracking error are in different channels, which are rarely considered in stochastic nonlinear controls. To overcome these problems, a vector form of adaptive backstepping controller is designed such that the closed-loop stochastic Hamiltonian system has a unique solution that is globally bounded in probability and the..4-norm of the tracking error converges to an arbitrarily small neighborhood of zero. As applications, an example from mechanical systems instead of numerical one is presented.
WU Zhaojing CUI Mingyue
School of Mathematics and Informational Science, Yantai University, Yantai, Shandong Province, 26400 School of Mathematics and Informational Science, Yantai University, Yantai, Shandong Province, 26400
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）