This paper studies global output feedback stabilization (OFS) control for non-strict feedback nonlinear systems with unknown functions (UFs). In order to deal with the UFs problem, a Lemma is proposed. This Lemma not only avoids the disadvantages of approximation methods, but also avoids the Assumptions of UFs. Therefore, the algorithm in the paper reduces the conservatism. Then, a control algorithm is proposed to solve the global OFS control problem of closed-loop systems. At the same time, the “explosion of terms” problem of backstepping is also solved. Finally, the algorithm is applied to Duffing system and Chua’s oscillator system to verify the effectiveness of the algorithm.

本文研究了具有未知函数（UFs）的非严格反馈非线性系统的全局输出反馈稳定（OFS）控制。为了处理UFs问题，提出了一个引理。这个引理不仅避免了近似方法的缺点，而且避免了 UF 的假设。因此，论文中的算法降低了保守性。然后，提出了一种控制算法来解决闭环系统的全局OFS控制问题。同时，反推的“项爆炸”问题也得到了解决。最后将该算法应用于Duffing系统和Chua振子系统，验证了算法的有效性。