不确定时滞时变奇异摄动Lurie双线性系统的鲁棒H_(∞)控制  

Robust H_(∞)Control for Lurie Bilinear Systems with Uncertain Time-varying Singularly Perturbed Lurie Systems

作　　者：张潆心 张秀华[1] Zhang Yingxin;Zhang Xiuhua(Northeastern University,College of Science,Shenyang 110000,China)

机构地区：[1]东北大学理学院,辽宁沈阳110000

出　　处：《科学技术创新》2022年第23期79-82,共4页Scientific and Technological Innovation

摘　　要：本文针对非线性洛尔系统模型,设计出一个具有双线性项,时滞性、时变性以及不确定性的奇异摄动洛尔系统,结合Lyapunov稳定性理论,研究并设计该非线性洛尔奇异摄动系统[0,V]的扇形范围内的鲁棒H_(∞)控制器。根据各项相关稳定性理论,矩阵分析方法,来列举出适当维数的状态反馈控制器并设计一个新的Lyapunov函数,并在时滞独立的情况导出一个新的满足H_(∞)稳定性能指标的绝对稳定性判据。In this paper,a singularly perturbed lore Lurie system with bilinear terms,time-delay,time-varying and uncertainty is designed for the nonlinear lure system model.Combined with Lyapunov stability theory,the robust H_(∞)Controller of the nonlinear lore singularly perturbed system in the sector range of[0,V]is studied and designed.According to the relevant stability theories and the matrix analysis method,the state feedback controllers with appropriate dimensions are listed and a new Lyapunov function is designed,and a new absolute stability criterion satisfying the H_(∞)stability performance index is derived in the case of independent delay.

关 键 词：双线性 时滞 LURIE系统 奇异摄动 鲁棒H_(∞)控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]