摘要
为了降低已有系统模型对回路时间的依赖,得出TCP网络系统的延时上界,通过引入变延时,利用线性矩阵不等式(LMI)设计了鲁棒H∞状态反馈控制器.采用Lyapunov函数方法验证了网络系统的稳定性,系统能够满足指定的H∞性能指标,并且减少延时和干扰对网络系统性能的影响;利用矩阵变换方法,将研究结果转化为具有线性矩阵不等式约束的凸优化形式,以便控制器的求解.通过算例仿真表明了所设计方法的有效性和可行性.
In order to reduce the dependence of the existing system model on round-trip time (RTT) and obtain the maximum delay of TCP network system,the robust H∞ status feedback controller was designed by introducing the variable delay and utilizing linear matrix inequality (LMI). The stability of the network system was verified by Lyapunov function. The system can reach the appointed H∞ performance index,and the effect of both delay and disturbance on the performances of the network system gets reduced. The research result was transformed into the convex optimization form with the LMI constrain in order to solve conveniently. The simulation result proves the effectiveness and feasibility of the designed method.
出处
《沈阳工业大学学报》
EI
CAS
2010年第1期105-109,共5页
Journal of Shenyang University of Technology
基金
国家自然科学基金资助项目(60772055)
辽宁省博士启动基金资助项目(20081025)