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分布参数系统由于是偏微分方程描述,具有无限维的特性。在极大多数情况下,无法求到它的精确解,而且求解也相当繁复。因此不少研究分布参数系统的科学工作者对这方程式近似方法进行了大量的研究,如差分法,特性曲线法和MWR法等;或者把分布参数系统近似成集中参数系统,或者把高价方程简化为低阶方程等。在此基础上再进行系统设计,加以补偿,以得到良好的系统特性。本文以典型的顺流型热交换器为例,介绍此类分布参数系统的另一种渐近近似法,并在此基础上用预测控制Smith 法进行补偿,给出计算机仿真结果,从根据轨迹角度来探讨补偿结果
Because of the description of partial differential equations, the distributed parameter system has the characteristics of infinite dimension. In the great majority of cases, it can not find its exact solution, and the solution is rather complex. Therefore, a great deal of researches have been done on the approximation method of this equation by many scientists who study the distributed parameter system, such as the difference method, the characteristic curve method and the MWR method, or by approximating the distributed parameter system as a centralized parameter system or by simplifying the high price equation For lower order equations and so on. On the basis of this system design, to be compensated, in order to get good system characteristics. In this paper, a typical downstream heat exchanger is taken as an example to introduce another kind of asymptotic approximation method for this kind of distributed parameter system. On the basis of this, the predictive control Smith method is used to compensate and the computer simulation results are given. Angle to explore the compensation results