广西科学
廣西科學
엄서과학
Guangxi Sciences
2015年
4期
425-429,437
,共6页
黄敢基%罗世贤%钟佳成
黃敢基%囉世賢%鐘佳成
황감기%라세현%종가성
线性系统%间歇观测器%切换 Lyapunov 函数%指数稳定性
線性繫統%間歇觀測器%切換 Lyapunov 函數%指數穩定性
선성계통%간헐관측기%절환 Lyapunov 함수%지수은정성
linear system%intermittent observer%switched Lyapunov functions%exponential sta-bility
考虑到间歇控制是一类特殊的切换控制，提出基于时变切换 Lyapunov 函数的间歇观测器设计方法，并进行数值验证。采用时变切换 Lyapunov 函数分析相应误差系统的稳定性，得到观测器收敛的充分条件，通过求解相应的线性矩阵不等式得到观测器增益矩阵，且数值算例验证所提方法是有效的。
攷慮到間歇控製是一類特殊的切換控製，提齣基于時變切換 Lyapunov 函數的間歇觀測器設計方法，併進行數值驗證。採用時變切換 Lyapunov 函數分析相應誤差繫統的穩定性，得到觀測器收斂的充分條件，通過求解相應的線性矩陣不等式得到觀測器增益矩陣，且數值算例驗證所提方法是有效的。
고필도간헐공제시일류특수적절환공제，제출기우시변절환 Lyapunov 함수적간헐관측기설계방법，병진행수치험증。채용시변절환 Lyapunov 함수분석상응오차계통적은정성，득도관측기수렴적충분조건，통과구해상응적선성구진불등식득도관측기증익구진，차수치산례험증소제방법시유효적。
In view of the characteristics that a dynamical system under intermittent control can be viewed as a switched control system,a method based on time-varying switching Lyapunov function is developed for the intermittent observer design,of which numerical validation is car-ried out.Some sufficient conditions for observer convergence are derived by using time-varying switching Lyapunov function to analyze the stability of the error system,and the gain matrix of the observer can be obtained by solving a set of linear matrix inequalities (LMI).A numerical example is provided to illustrate the validity of the proposed method.
