On Reachability Analysis of Nonlinear Systems with Joint Integral Constraints

被引：3

作者：

Gusev, Mikhail ^{[1
]}

机构：

[1] NN Krasovskii Inst Math & Mech, S Kovalevskaya Str 16, Ekaterinburg 620990, Russia

来源：

LARGE-SCALE SCIENTIFIC COMPUTING, LSSC 2017 | 2018年 / 10665卷

基金：

俄罗斯科学基金会;

关键词：

Optimal control; Integral constraints; Reachable set; Boundary points; Maximum principle; TRAJECTORIES; SET;

D O I：

10.1007/978-3-319-73441-5_23

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The problems of reachability for linear control systems with joint integral constraints on the state and input functions have been studied in the literature on the theory of set-valued state estimation. In this paper we consider a reachability problem for a nonlinear affine-control system on a finite time interval. The constraints on the state and control variables are given by the joint integral inequality, which assumed to be quadratic in the control variables. Assuming the controllability of the linearized system, we prove that any admissible control, that steers the control system to the boundary of its reachable set, is a local solution to an optimal control problem with integral cost functional.

引用

页码：219 / 227

页数：9

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