摘要
本文讨论了一类具有时变时滞不确定系统的无记忆状态反馈保性能控制器设计问题.系统的不确定性具有范数有界形式,时滞是时变函数甚至可以是无界函数,并且设计的控制器包含状态时滞.推导出了保性能控制器存在的充分条件.利用先进的线性矩阵不等式(LMIs)技术给出了保性能控制器的控制参数和保性能值,这些条件与时滞的导数有关.最后给出一个无界时滞的仿真示例说明本文方法的有效性.
In this paper, the problem of designing memoryless state feedback guaranteed cost controller is studied for a class of uncertain system with time-delay. Uncertainties are assumed to be norm bound, delay to be function with time-varying or unbound respectively, and time-delay is contained in the controller. Sufficient conditions are derived for the existence of guaranteed cost controller. In terms of the linear matrix inequalities(LMIs) technique, the parameters of the guaranteed cost controllers and guaranteed cost value are obtained, the criterion is dependent on the size of derivative of the time-delay. Finally, a unbound time-delay numerical example is given to demonstrate that the derived method is effective.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
2005年第4期504-508,共5页
Journal of China University of Mining & Technology
基金
国家自然科学基金项目(60474029)
关键词
时滞
不确定系统
线性矩阵不等式
保性能控制器
time-delay
uncertain systems
linear matrix inequality
guaranteed cost controller
