Differential Equations for Ellipsoidal Estimates of Reachable Sets for a Class of Control Systems with Nonlinearity and Uncertainty

被引：3

作者：

Filippova, Tatiana F. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, 16 Sofia Kovalevskaya Str, Ekaterinburg 620990, Russia

[2] Ural Fed Univ, 19 Mira Str, Ekaterinburg 620002, Russia

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 32期

关键词：

Control problems; Uncertainty; Nonlinearity; Estimation; Reachable sets; DYNAMICAL-SYSTEMS; STATE ESTIMATION; BOUNDS;

D O I：

10.1016/j.ifacol.2018.11.452

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of estimating reachable sets of nonlinear dynamical control systems with combined nonlinearity of quadratic and bilinear types and with uncertainty in initial states and in system parameters is studied. We assume that the uncertainty is of set-membership kind when only the bounding sets for unknown parameters and functions are given. We find the ellipsoidal estimates of reachable sets using the special bilinear-quadratic structure of studied control system. The main result consists in deriving the related differential equations which describe the dynamics of the ellipsoidal estimates of reachable sets of the control system under study, related numerical simulation results are also given.(C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：770 / 775

页数：6

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