In this paper, nonlinear control for dealing with a class of uncertain nonlinear systems is discussed according to operator-based coprime factorization method. In detail, firstly, for guaranteeing internal-output stability of nominal nonlinear systems with left factorization, a simple and effective design scheme is proposed with a weak assumption. Simultaneously, based on the proposed scheme, the given nominal nonlinear systems are proved to be coprime. Secondly, tracking performance of the considered systems is obtained by designing a suitable Bezout identity without complicated calculation on the obtained left factorization. Thirdly, with respect to the considered nonlinear system, when it comes to appear perturbation, different adverse effects resulting from different perturbation are considered to guarantee robust stability. For the two different cases, two suffcient conditions using inherent characteristics are proposed for guaranteeing robust stability. Finally, two examples are shown to confirm effectiveness of the proposed design scheme of this paper.

在本文中，根据基于算子的互质素分解方法，讨论了用于处理一类不确定非线性系统的非线性控制。详细地讲，首先，为了保证标称非线性系统具有左因子分解的内部输出稳定性，提出了一种简单有效的设计方案，并假设了这一假设。同时，基于提出的方案，证明了给定的标称非线性系统是互质的。其次，通过设计合适的Bezout身份获得考虑的系统的跟踪性能，而无需对获得的左因子分解进行复杂的计算。第三，对于所考虑的非线性系统，当出现扰动时，考虑了由不同扰动引起的不同不利影响，以保证鲁棒的稳定性。针对两种不同情况，提出了两种使用固有特性的充分条件，以保证鲁棒稳定性。最后，通过两个例子验证了本文提出的设计方案的有效性。