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本文研究了一类非线性分布参数系统的有限维变结构控制问题．首先采用Ｇａｌｅｒｋｉｎ近似法给出了系统的有限维近似模型；进而给出了使近似系统具有良好动态品质的有限维变结构控制器的设计方法，最后分析了闭环系统的渐近性态，给出了在近似阶次一定的情况下，原系统具有良好渐近性态的充分条件．
This paper studies the finite dimensional variable structure control of a class of nonlinear distributed parameter systems. First, a finite-dimensional approximate model of the system is given by Galerkin approximation. Then a design method of finite dimensional variable structure controller with good dynamic quality is given. Finally, the asymptotic behavior of the closed-loop system is given. In the case of a certain order of approximation, the sufficient condition of the asymptotic behavior of the original system is obtained.