时滞线性不确定系统最优控制

发布时间：2018-01-14 19:25

本文关键词：时滞线性不确定系统最优控制　出处：《南京理工大学》2017年硕士论文　论文类型：学位论文

【摘要】：在工程实际应用中,时滞是非常常见的一个现象,因此,时滞系统的最优控制就成为了现在学者研究的一个重要课题。求解这类问题的关键如何把时滞问题转化为非时滞问题。由于时滞问题的目标函数的最优值是与时间和状态相关的函数,但时滞项会让最优值的函数变成一个无穷维函数,这类函数就没法用经典的方法来处理。需要对时滞项进行处理,使问题变成常规的控制问题再求解。本文一共讨论了两类时滞模型,一类是不确定多输入时滞线性模型,一类是不确定时滞二次型乐观值模型。分别对这两类时滞模型进行分析和处理,将模型转化为非时滞的,结合不确定最优性方程,分别得到这两类模型的最优控制和目标函数的最优值。给出了时滞多输入线性不确定系统模型和时滞线性二次型不确定系统乐观纸模型的数值例子,并求出最优控制和最优值。最后讨论了一个消费问题的应用实例。
[Abstract]:In practical application, the delay is a very common phenomenon, therefore, optimal control of time-delay systems has become an important topic now scholars. The key to solve this kind of problem how to delay problem is transformed into a non delay problem. The optimal objective function value and the time delay problem is a function of time and related to the state, but the delay function will make the optimal value into an infinite dimensional function, this function would not be able to use the classic method to deal with. The need of the time delay, the problem becomes the conventional control problem to be solved. In this paper we discuss two classes of delay model, one is not determine the input delay linear model, a class of uncertain time-delay is two type optimistic value model. To analyze and deal with the two kinds of delay model, the model is transformed into a non delay, with uncertain optimality equation, respectively. The optimal control and optimal objective function values of the two kinds of models are given. With multi input linear uncertain system model and two time delay linear uncertain system model the paper numerical examples are optimistic, and find the optimal control and optimal value. Finally, an application example of the consumption problem is discussed.

【学位授予单位】：南京理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O232

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