非线性时滞系统的无模型预测控制

摘****要

非线性时滞系统的预测控制应用广泛，比如电子设备、石油化工、造纸等行业，都会运用到非线性时滞系统的预测控制系统或工具。更高效率和更高精度的非线性时滞系统的预测控制一直是研究的热点。在我们日常生活中，非线性时滞系统的预测控制随处可见，因为其相比其他的控制方式而言，运行稳定且控制精度较高等优势，最重要的是非线性时滞系统的预测控制在延时控制等方面具有很好的优势。随着自动控制技术和微电子技术的不断革新，目前的技术水平为实现非线性时滞系统的预测控制调节控制打下坚实的基础，提供扎实的理论依据。

本次设计主要以非线性时滞系统的预测控制控制系统设计应用作为研究背景，运用MATLAB仿真工具搭建相应的仿真模型。该模型利用MATLAB软件中的模块库，建立了非线性时滞系统的预测控制在电力系统应用中的系统仿真模型，通过 Matlab仿真软件搭建仿真模型,运行仿真，并对非线性时滞系统的预测控制的仿真结果进行了分析。本次设计采用的预测控制为PID预测控制算法，经过对控制系统进行仿真，可以明显的看出，非线性时滞系统的预测控制控制系统响应快，没有超调量，运行稳定，抑制震荡和发散的性能较好等特点。

关键词：非线性时滞系统，预测控制，建模与仿真，MATLAB

Abstract

The predictive control of nonlinear systems with time delay is widely used, such as electronic equipment, petrochemical, paper and other industries, will be used in the predictive control system or tools of nonlinear systems with time delay. Predictive control for nonlinear systems with higher efficiency and higher precision is always a hot research topic. In our daily life, the predictive control of nonlinear time-delay system can be seen everywhere, because compared with other control methods, it has the advantages of stable operation and higher control precision. The most important is that the predictive control of nonlinear time-delay system has a good advantage in delay control and other aspects. With the continuous innovation of automatic control technology and microelectronics technology, the present technical level lays a solid foundation and provides a solid theoretical basis for the realization of predictive control regulation control of nonlinear systems with time delay.

This design is mainly based on the predictive control system design and application of nonlinear time-delay system as the research background, using MATLAB simulation tools to build the corresponding simulation model. In this model, the module library of MATLAB software is used to establish the system simulation model of predictive control of nonlinear time-delay system in power system application. The simulation model is built by MATLAB simulation software, and the simulation results of predictive control of nonlinear time-delay system are analyzed. The predictive control adopted in this design is PID predictive control algorithm. After the simulation of the control system, it can be clearly seen that the predictive control system of nonlinear delay system has the characteristics of fast response, no overshoot, stable operation, and good performance in suppressing oscillation and divergence.

Key words: Nonlinear systems with time delays, Predictive control, Modeling and Simulation, MATLAB

[摘要....................................................................................................................... 1](#摘要....................................................................................................................... 1)

[第一章绪论............................................................................................................ 6](#第一章绪论............................................................................................................ 6)

[1.1 概述............................................................................................................. 6](#1.1 概述............................................................................................................. 6)

[1.2 课题研究的现状........................................................................................ 7](#1.2 课题研究的现状........................................................................................ 7)

[1.3 课题研究的意义........................................................................................ 8](#1.3 课题研究的意义........................................................................................ 8)

[1.4 仿真工具MATLAB/Simulink简介...................................................... 8](#1.4 仿真工具MATLAB/Simulink简介...................................................... 8)

[1.5 课题的研究内容及章节安排............................................................... 10](#1.5 课题的研究内容及章节安排............................................................... 10)

[第二章非线性时滞系统的预测控制............................................................. 12](#第二章非线性时滞系统的预测控制............................................................. 12)

[2.1 预测控制的原则..................................................................................... 12](#2.1 预测控制的原则..................................................................................... 12)

[2.2 预测控制系统的结构............................................................................ 13](#2.2 预测控制系统的结构............................................................................ 13)

[2.3 非线性时滞系统的预测模型设计....................................................... 15](#2.3 非线性时滞系统的预测模型设计....................................................... 15)

[第三章非线性系统的无模型控制器设计..................................................... 16](#第三章非线性系统的无模型控制器设计..................................................... 16)

[3.1 非线性时滞系统的动态线性化........................................................... 16](#3.1 非线性时滞系统的动态线性化........................................................... 16)

[3.2 无模型控制器设计................................................................................. 17](#3.2 无模型控制器设计................................................................................. 17)

[3.3 无模型控制器的收敛性分析............................................................... 17](#3.3 无模型控制器的收敛性分析............................................................... 17)

[第四章非线性时滞系统的无模型预测控制系统建模仿真...................... 20](#第四章非线性时滞系统的无模型预测控制系统建模仿真...................... 20)

[4.1 非线性时滞系统的预测控制系统建模.......................................... 20](#4.1 非线性时滞系统的预测控制系统建模.......................................... 20)

[4.2 仿真输出波形及分析.............................................................................. 21](#4.2 仿真输出波形及分析.............................................................................. 21)

[4.3 本章小结.................................................................................................... 22](#4.3 本章小结.................................................................................................... 22)

[第五章结束语................................................................................................... 23](#第五章结束语................................................................................................... 23)

[参考文献................................................................................................................ 24](#参考文献................................................................................................................ 24)

[致谢................................................................................................................ 27](#致谢................................................................................................................ 27)

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