摘要
对一类非线性时滞广义系统讨论了非脆弱保成本控制和H∞控制问题。非线性项呈现为时间和状态变量的连续函数。设计了非脆弱保成本控制器和非脆弱H∞控制器。利用线性矩阵不等式,给出了控制器存在的与时滞无关的充分条件。当线性矩阵不等式可解时,可以得到这两个控制器精确的表达形式。数值例子表明这一方法是有效的。
This paper is concerned with the non-fragile guaranteed cost control and H∞ control for nonlinear singular systems with delay.The nonlinear item of the systems is a continuous function of time and system state.A non-fragile guaranteed cost controller and a non-fragile H∞ controller are designed respectively.The delay-independent sufficient conditions for the existence of these controllers are given in terms of linear matrix inequalities（LMIs）.When these LMIs are feasible,explicit expressions of these controllers are obtained respectively.The effectiveness of the approach is illustrated by a numerical example.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2011年第1期26-30,共5页
Journal of Nanjing University of Science and Technology
关键词
非线性广义系统
时滞无关
非脆弱
保成本控制
H∞控制
nonlinear singular systems
delay-independence
non-fragility
guaranteed cost control
H∞ control
