时滞非线性采样系统的跟踪及干扰抑制研究

Almost all the control systems are nonlinear systems. Broad applications of the computer technology make the research on nonlinear sampled-data systems meaningful and practical. Sampled-data output feedback controllers will be designed for a class of inherently nonlinear systems based on the feedback dimination approach,solution method of differential equation, mathematical induction and Lyapunov stability theory. In our project, the sampled-data output feedback controllers will firstly be applied to solve global practical tracking problem for a class of inherently nonlinear systems. Then the controllers will also be applied to solve almost disturbance attenuation problem for the previous systems. Finally, the controllers will be applied to a class of nonlinear networked control systems.Different from the existing nonlinear items, the nonlinear items in our project do not need Lipschitz criteria and linear growth condition include a constant, as a result, this kind of systems are more general. Different from the existing continuous-time controllers, sampled-data output feedback controllers are designed to solve a class of nonlinear systems and a class of nonlinear networked control systems. The results will lay a theoretical foundation for the application of the computer technology and network technology on the nonlinear systems.

时滞非线性采样系统的跟踪及干扰抑制的研究具有重要的理论和实际意义。然而,到目前为止,无论是建模方法还是研究手段,都存在大量问题亟待解决。考虑状态时滞、干扰，本项目开展时滞非线性采样系统的建模、实际跟踪及干扰抑制控制研究。区别于现有的模型，本项目将通过建模及模型转换，形成更接近实际且更便于解决跟踪及干扰抑制问题的时滞非线性采样系统的通用模型；区别于现有的非线性系统的非线性项条件，本项目研究的非线性项线性增长条件中含常数项，因此这类非线性系统更具通用性；区别于现有的连续时间控制器，本项目将采样控制器运用于解决时滞非线性系统的实际跟踪及干扰抑制问题。综上所述，本项目的研究将为计算机技术在时滞非线性系统中的实际应用奠定理论基础。

主要研究内容为：考虑状态时滞及系统干扰的情况下，开展时滞非线性采样系统的建模、实际跟踪及干扰抑制控制研究。.重要研究结果：状态时滞非线性采样系统的模型建立及跟踪控制器设计、仿真及应用；基于输出反馈的非线性采样系统的模型建立及跟踪控制器设计、仿真及应用；基于状态时滞非线性采样系统的干扰抑制器设计及应用；基于输出反馈的非线性采样系统的干扰抑制器的设计及应用。.应用价值：理论的研究成果在控制器设计上由于采用了采样控制器，使得控制器的实现更加方便，目前研究成果已应用于橡胶手套生产企业，未来有巨大的应用前景。