非线性切换奇异系统的自适应状态反馈控制

研究了一类满足Lipschitz条件的非线性奇异切换系统的自适应状态反馈控制的设计问题.首先，研究单输入非线性奇异切换系统的基本自适应控制的设计，控制器旨在稳定系统;然后，以单输入非线性奇异切换系统所呈现的具有自适应增益和基于Lyapunov稳定性定理调整增益的机制为基础，将其扩展为多输入奇异切换系统的跟踪问题，设计了自适应控制方法;最后，采用Matlab方法做了数值仿真来说明所提出的控制方法的有效性.所提出的控制器具有非常简单的结构，并且在实践中很容易应用.

Adaptive State Feedback Control of Nonlinear Switched Singular Systems

The design of adaptive control for a class of nonlinear singular switched systems satisfying the Lipschitz condition was studied. First， the design of the basic adaptive control of a single input nonlinear singular switching system was studied. The controller was designed to stabilize the system. Then， the adaptive gain and the gain adjustment based on the Lyapunov stability theorem presented by the single input nonlinear singular switching system were used to expand the tracking problem of multi-input singular switching systems and an adaptive control method was designed. Finally， a numerical simulation was performed using Matlab to illustrate the effectiveness of the proposed control method. The proposed controller has a very simple structure and is easy to be applied in practice.