一阶非线性分布参数系统的惯性流形与滑动模控制

Inertial Manifold and Sliding Mode Control of Nonlinear Parabolic Distributed Parameter Systems

给出一阶非线性分布参数系统的有限维惯性流形的存在性条件，得到了系统的滑动模方程式，并且讨论了通过取有限维反馈控制，得到系统全局稳定性的条件，最后运用所得到的结果解决一个工程上的热加工控制问题。

The existing conditions of finite-dimensional inertial manifold of nonlinearparabolic distributed parameter systems are presented in this paper.The sliding equa-tion obtained in this paper is employed in the discussion of inertial manifold and the con-ditions to be global stable for the system,Finally,the control problem for parabolic dis-tributed parameter systems of heat process is studied.