摘要
研究一类具有不确定项的中立型时滞互联系统的保成本控制问题.给定具有时滞项的二次成本函数,当滞后时间对系统影响较小时,设计分散化记忆反馈控制器,提出新的李雅普诺夫函数,结合自由加权矩阵及牛顿-莱布尼茨公式对系统进行稳定性分析,并通过线性矩阵不等式给出系统稳定且满足给定二次性能指标的充分条件.应用Matlab中Toolbox工具箱求出可行性控制增益,并结合Simulink模块对系统进行数值仿真,仿真结果进一步验证了所提控制方法的有效性.
The guaranteed cost control for a class of uncertain neutral interconnected systems with time delay is studied.The quadratic cost function with time delay is given,the decentralized memory feedback controller is designed when the delay time has little influence on the system.A new Lyapunov function is proposed,the stability of the system is analyzed by combining the free weighting matrix and Newton Leibniz formula,the sufficient conditions for the system to be stable and meet the specified quadratic performance index are given by linear matrix inequalities.The toolbox in Matlab is used to calculate the feasible control gain,combined with Simulink module,the system is numerically simulated,and the simulation results further verify the effectiveness of the proposed control method.
作者
赵斐斐
纪洲鹏
ZHAO Feifei;JI Zhoupeng(School of Network Science,Haikou University of Economics,Haikou 571127,China)
出处
《高师理科学刊》
2021年第12期1-6,共6页
Journal of Science of Teachers＇College and University
基金
海南省高层次人才项目(120RC663)
海南省自然科学基金项目(118MS085)。
关键词
中立系统
互联系统
保成本控制
线性矩阵不等式
neutral system
interconnected system
guaranteed cost control
linear matrix inequality
