Optimal Estimation of the Linear Functional of State Variables of a Dynamic System

被引：0

作者：

Volkov, Vasiliy ^{[1
]}

Demyanov, Dmitriy ^{[2
]}

机构：

[1] KAMAZ PTC, Sci Tech Ctr, Naberezhnye Chelny, Russia

[2] Kazan Volga Reg Fed Univ, Naberezhnye Chelny Inst, Naberezhnye Chelny, Russia

来源：

2019 XXI INTERNATIONAL CONFERENCE COMPLEX SYSTEMS: CONTROL AND MODELING PROBLEMS (CSCMP) | 2019年

基金：

俄罗斯基础研究基金会;

关键词：

dynamic system; state variables; linear functional; nonzero initial conditions; optimal estimation; matrix canonization; linear matrix inequalities;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper considers the problem of building an observer that ensures optimal estimation of the linear functional of state variables of a dynamic system. In addition, the degree of influence of unknown initial conditions on the integral error of observation in the absence of an external disturbance (the level of initial disturbance rejection in the system) acts as a minimized criterion. It is shown that when a number of constraints are fulfilled, an observer can be used to solve the problem posed, the order of which is equal to the order of the estimated functional. The conditions for the existence of such an observer is determined, the linear matrix inequalities, the solution of which allows one to determine its matrix coefficients are formulated.

引用

页码：640 / 643

页数：4

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