一类分布参数系统的有限维变结构控制

Finite-Dimensional Variable Structure Control for a Class of Distributer Parameter Systems

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 addresses the finite-dimensional variable structure control problem for aclass of nonlinear distributed parameter system(DPS).First,a finite-dimensional reduced order mod el(ROM) is generated via Galerkin procedure;second, finite-dimensional variable structure controller is synthesized to provide the approximate system with desired dynamics;finally,the asymptotic behav ior of the actual closed -loop DPS with the designed controller is analyzed and some sufficient conditions are given to guarantee that the actual closed -loop DPS has prescribed asymptotic behavior when the approximate order is predatermined.