离散非线性时滞系统的鲁棒耗散控制  

Robust Dissipative Control for Discrete Nonlinear Delay Systems

作　　者：曾涛[1] 赵胜凯[1] 

机构地区：[1]北京交通大学电子信息工程学院,北京100044

出　　处：《数学的实践与认识》2010年第8期138-143,共6页Mathematics in Practice and Theory

摘　　要：针对一类基于T-S模型表示的具有范数有界不确定性离散非线性时滞系统,研究了鲁棒耗散模糊控制问题.对可用T-S模糊模型表示的非线性时滞系统,考虑系统具有范数有界参数不确定性时,应用并行分布式控制方法,得到使得系统稳定且严格耗散的模糊耗散控制器存在的充分性条件.进而通过建立和求解LMI(线性矩阵不等式)约束的凸优化问题,给出了耗散控制律的设计方法.数值算例表明了此方法的可行性和有效性.The problem of designing a fuzzy dissipative controller is studied for a class of discrete nonlinear delay systems with norm-bounded uncertainty based on T-S model. For the nonlinear delay system which is based on T-S fuzzy mode, the sufficient condition is first derived for the existence of fuzzy dissipative controller. Furthermore, a convex optimization problem with LMI constraints is formulated to design the controller. Finally, a numerical example shows the feasibility and validity of this method.

关 键 词：T—S模型 不确定性 耗散控制 LMI(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]