摘要
针对一类不确定Delta算子系统,建立其TS模糊模型,并讨论了闭环系统的鲁棒稳定性。首先将一类基于Delta算子描述的系统,表示成TS模糊动态不确定系统形式,然后利用Lyapunov函数法,给出了系统渐近稳定的充分条件。该条件是线性矩阵不等式(LMI)形式的,可以很方便地利用Matlab工具箱进行求解。所得的结果将连续和离散系统统一到Delta算子框架中。数值仿真表明了该方法的有效性和可行性。
TS fuzzy model is built for a class of uncertain Delta operator systems. Then the robust stability of closed loop system is analyzed for this TS fuzzy model, Based on Lyapunov function theory, a sufficient condition of asymptotic stability for dosed loop fuzzy system is obtained and shown by a certain linear matrix inequality （LMI）, It can be easily solved by MATLAB toolbox. The proposed results bring oontinuoustime and discrete-time TS fuzzy system into the unified framework, Finally, the simulation example shows the validity and applicability of the proposed approach.
出处
《控制工程》
CSCD
2007年第1期60-61,65,共3页
Control Engineering of China
