离散模糊双线性系统的稳定控制  

Stabilizing control for discrete-time fuzzy bilinear systems

作　　者：张果[1] 李俊民[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071

出　　处：《系统工程与电子技术》2009年第10期2440-2444,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60374015)资助课题

摘　　要：提出了一种对一类离散模糊双线性系统(discrete-time fuzzy bilinear system,DFBS)稳定控制的新方法。首先,把DFBS转换成一个等价的切换DFBS。然后,基于分段Lyapunov函数,同时考虑同一个子空间内不同模糊子系统之间的相互作用,得到了闭环系统放松的渐近稳定的充分条件。采用锥补线性化(cone complemen-tarity linearization,CCL)算法将控制器的设计转化成一个受线性矩阵不等式(linear matrix inequality,LMI)约束的最小化问题。最后,由仿真数例说明了所提方法的有效性。A new approach of stability analysis and synthesis for discrete-time fuzzy bilinear system （DFBS） is presented. First, the DFBS is transformed to an equivalent switching DFBS. Consequently, based on the pieeewise Lyapunov function and considered the interactions among the fuzzy subsystems in each subregion, the relaxed stabilization conditions are derived for the switching DFBS. The cone complementarity linearization （CCL） algorithm is employed to convert the controller design into a minimum problem with linear matrix inequality （LMI） constraints. Finally, a simulation example shows that the approach is effective.

关 键 词：离散模糊双线性系统 切换模糊模型 分段 LYAPUNOV函数 锥补线性化 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]