两类随机非线性系统的输出反馈控制问题

发布时间：2018-07-01 10:04

本文选题：随机上三角非线性系统 + 齐次占优方法　；参考：《渤海大学》2017年硕士论文

【摘要】：随机非线性系统的控制问题是控制理论及应用中的重要问题之一,也一直是控制领域研究的热点问题。此前,有关随机非线性系统的状态反馈控制研究已经取得了很大成果,但对于一个实际系统来说,大多数情况下系统的状态是不可测的,所以研究随机非线性系统的输出反馈控制更具有实际意义。本文主要研究了两类随机非线性系统的输出反馈镇定问题,并对所提出方法的可行性及优势都通过仿真实例来进行验证。其主要内容如下:1.研究一类随机上三角非线性系统的输出反馈镇定问题。通过使用齐次占优方法和构造可实现的齐次降阶观测器,设计一个输出反馈控制器使得闭环系统的平衡点在原点处是依概率全局渐近稳定的,并且输出可以几乎处处调节到原点。2.基于随机非线性时滞系统稳定性判据和齐次占优方法,解决了一类大规模随机高阶多时滞非线性系统的全局分散输出反馈稳定问题。通过巧妙地选取一个适当的李亚普诺夫泛函,以及成功克服在设计和分析过程中的一些障碍性麻烦,为每个子系统构建分散输出反馈控制器和齐次观测器来保证闭环系统是依概率全局渐近稳定的。
[Abstract]:The control problem of stochastic nonlinear systems is one of the most important problems in control theory and application. Prior to this, great achievements have been made in the study of state feedback control for stochastic nonlinear systems, but for a practical system, the state of the system is unmeasurable in most cases. Therefore, it is of practical significance to study the output feedback control of stochastic nonlinear systems. In this paper, the problem of output feedback stabilization for two kinds of stochastic nonlinear systems is studied, and the feasibility and advantages of the proposed method are verified by simulation examples. Its main content is as follows: 1. The problem of output feedback stabilization for a class of stochastic upper triangular nonlinear systems is studied. By using homogeneous dominance method and constructing realizable homogenous reduced order observer, an output feedback controller is designed to ensure that the equilibrium point of the closed-loop system is globally asymptotically stable at the origin. And the output can be adjusted almost everywhere to the origin. 2. Based on the stability criterion of stochastic nonlinear time-delay systems and homogeneous dominant method, the global decentralized output feedback stability problem for a class of large-scale stochastic high-order multi-delay nonlinear systems is solved. By ingeniously selecting an appropriate Lyapunov functional and successfully overcoming some of the obstacles in the design and analysis process, A decentralized output feedback controller and a homogeneous observer are constructed for each subsystem to ensure that the closed-loop system is globally asymptotically stable according to probability.
【学位授予单位】：渤海大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O231

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