摘要
针对一类具有网络诱导时延的网络控制系统,建立了该系统的连续数学模型.利用Lyapunov稳定性理论和线性矩阵不等式方法设计系统的全程滑模面和最优滑模控制器,使性能指标最小的同时系统状态渐近稳定,所得条件均以线性矩阵不等式形式出现.仿真结果说明了该方法的有效性.
For a class of networked control systems with networked-induced delay, a continuous time mathematical model of the NCSS is proposed. With the Lyapunov stability theory and linear matrix inequality technique, the global sliding-mode surface and the optimal sliding controller are given, which ensure that the state trajectories of the closed-loop system converge to zero in an optimal fashion. All the conditions are expressed in terms of LMIs, which make the given results be easily applied. Finally, a numerical example is given to demonstrate the validity of the results.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第2期96-99,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(60674020)
河南省基础与前沿技术研究项目(092300410145)
河南省教育厅自然科学基金项目(2009B110003)
安阳市自然科学基金项目(136)
关键词
网络控制系统
全程滑模
最优控制
networked control systems
global sliding-mode
optimal control
