多输入非线性不确定时滞系统的同时H_∞控制（英文）  

Simultaneous H_∞ control for a collection of multi-input nonlinear systems with time-delay and uncertainty

作　　者：张佳玲[1] 包俊东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特011517

出　　处：《高师理科学刊》2016年第1期8-14,共7页Journal of Science of Teachers＇College and University

基　　金：Inner Mongolia Normal University postgraduate innovation foundation item(CXJJS14054);Inner Mongolia Normal University ten hundred thousand talents subsidize project

摘　　要：所考虑的问题是设计一个H∞状态反馈控制器来同时镇定一族多输入非线性不确定时滞系统.利用控制泛函(Control Lyapunov-Krasovskii Functional)的方法给出了同时H∞控制器存在的一个充分条件,并且给出了控制泛函及同时H∞控制器的构造方法,数值仿真验证了所提方法的有效性.Researched on the problem of designing aH∞ state feedback controller that simultaneously stabilizes a collection of multi-input nonlinear systems with time-delay and uncertainty. Based on the technique of control Lyapunov-Krasovskii functional, a sufficient condition for the existence of simultaneous H∞ controller is obtained. A formula for constructing a continuous controller which simultaneously stabilizes the systems is derived. Proposes a method of constructing a control Lyapunov-Krasovskii functional. An example is given to show the effectiveness of the method.

关 键 词：多输入非线性时滞系统 同时镇定 控制泛函 状态反馈 

分 类 号：O231.1[理学—运筹学与控制论]