摘要
针对带有时变不确定性连续时间非线性系统的稳定性分析问题,基于Takagi-Sugeno模糊模型提出一种新的稳定性判据.在不确定性系统稳定性分析过程中,使用参数依赖型Lyapunov函数和两种附加变量引入方法,该方法能显著增加稳定性分析过程的自由度,从而获得比已有结果保守性更小的稳定性判据,且所提出的稳定性判据以线性矩阵不等式(LMI)形式给出,方便使用.仿真实验结果表明了该方法的有效性.
A new kind of stability criteria was proposed for addressing the problem of stability analysis of continuous-time nonlinear systems with time-varying uncertainties based on the Takagi-Sugeno fuzzy model.In the process of stability analysis,a parameter-dependent Lyapunov function and two methods for introducing additional variables were used.Since more freedom can be introduced in virtue of the above measures,the obtained stability criteria are less conservative than some existing results.More improtantly,the proposed results are given in terms of linear matrix inequality,which is easily solved via standard numerical software.Finally,a numerical example illustrates the effectiveness of the proposed approach.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2013年第3期465-470,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10971021)
