中文摘要：

研究了一类非齐次的高阶非线性系统的连续状态反馈控制设计问题．通过定义一列适当的辅助函数，放宽了对非线性项的约束条件．利用传统的积分反推技术，并增加一个积分项的方法，得到了这类系统的稳定性，给出了控制器的设计方法，并通过一个例子验证了本文的理论结果．

英文摘要：

This paper studies the design of continuous state feedback controllers for a class of non-homogeneous high order non-linear systems. We relex the restriction on non-linear term through defining a series of appropriate auxiliary functions. A systematic design method which combines integrator backstep- ping theory with the idea of adding a integral term is presented for globally stabilizing controllers of this class of systems. And we verify the theoretical results in the paper through an exam- pie.