State Estimation and Control for Linear Aperiodic Impulsive Systems with Uncertain Disturbances

被引：0

作者：

Malikov, A. I. ^{[1
]}

机构：

[1] Kazan Natl Res Tech Univ, 10 K Marx Str, Kazan 420111, Russia

来源：

RUSSIAN MATHEMATICS | 2021年 / 65卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

differential equations; aperiodic impulses; uncertain disturbances; state estimation; boundedness; continuous-impulse control design; ROBUST STABILITY ANALYSIS; SAMPLED-DATA SYSTEMS; STABILIZATION; NONLINEARITIES;

D O I：

10.3103/S1066369X21060050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following problems are solved for systems of differential equations with periodic or aperiodic impulses, when uncertain disturbances are taken into account: estimating the set of solutions with initial data from a given ellipsoid in the form of an evolving invariant ellipsoid; the synthesis problem of continuous-impulse control, providing finite time boundedness of the original system with respect to given sets. Using the quadratic Lyapunov function with variable parameters, these problems are reduced to optimization problems with differential and difference linear matrix inequalities. The results are illustrated by the second order example.

引用

页码：36 / 46

页数：11

共 16 条

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