摘要
对于一类状态矩阵、输入矩阵和扰动输入矩阵中均含有不确定项的离散T-S模糊系统,研究了静态输出反馈控制的二次稳定性问题。以矩阵不等式的形式给出的充分条件保证了基于该模糊系统的静态输出反馈控制器的存在性。该充分条件不但简单,而且考虑到了各个模糊子系统之间的相互作用。最后,使用迭代线性矩阵不等式(ILMI)的方法,通过数值仿真算例证明了该设计方法的正确性及有效性。
The quadratic stability conditions for a class of discrete T-S fuzzy systems are studied.In these systems uncertain terms exist in the state matrix,input matrix and disturbance input matrix.New stability conditions for fuzzy static output feedback control are proposed.The sufficient Linear Matrix Inequality(LMI)conditions are also proposed,which ensure the existence of fuzzy static output feedback controllers based on the T-S fuzzy systems.The sufficient LMI conditions are not only simple,but also consider the interactions among the fuzzy sub systems.Numerical simulation using Iterative Linear Matrix Inequality(ILMI)technique demonstrates the correctness and the effectiveness of the design methodology.
出处
《吉林大学学报(工学版)》
EI
CAS
CSCD
北大核心
2010年第3期795-799,共5页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(50975121)
高等学校博士学科点专项科研基金项目(20090061110022)
吉林省科技发展计划项目(20096004)
关键词
自动控制技术
不确定T-S模糊系统
静态输出反馈控制
迭代线性矩阵不等式
反馈增益
automatic control technology
uncertain T-S fuzzy systems
static output feedback control
iterative linear matrix inequality(ILMI)
feedback gain