Algorithm for piecewise-linear approximation of the reachable set boundary

被引:0
作者
A. Yu. Gornov
E. A. Finkel’shtein
机构
[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch
来源
Automation and Remote Control | 2015年 / 76卷
关键词
Remote Control; Optimal Control Problem; Stochastic Approximation; Descriptive Geometry; Nonlinear Control System;
D O I
暂无
中图分类号
学科分类号
摘要
The studies and approaches to estimating the reachable sets of the control systems were reviewed in brief. An algorithm for piecewise-linear approximation of the boundary of the reachable set was proposed on the basis of solving a special problem of optimal control in terms of the criterion of volume maximum of the corresponding estimate of the reachable set. The results of computer experiments were presented.
引用
收藏
页码:385 / 393
页数:8
相关论文
共 23 条
[1]  
Panasyuk AI(1985)Differential Equations of Nonconvex Reachable Sets Mat. Zametki 37 717-726
[2]  
Khrustalev MM(1988)Exact Description of Reachable Sets and Global Optimality Conditions for Dynamic Systems Autom. Remote Control 49 597-604
[3]  
Lotov AV(1980)On the Notion of Generalized Reachable Sets and Their Construction for the Linear Control Systems Dokl. Akad. Nauk SSSR 250 1081-1083
[4]  
Kurzhanski AB(1992)Ellipsoidal Techniques for Dynamic Systems. Control Synthesis for Uncertain Systems Dynam. Control 2 87-11
[5]  
Valyi I(1988)On One Method of Approximation of the Reachable Set for Control Process Zh. Vychisl. Mat. Mat. Fiz. 28 1252-1254
[6]  
Nikol’skii MS(1991)On One Method of Approximation of the Reachable Sets of Differential Inclusions with Given Precision Zh. Vychisl. Mat. Mat. Fiz. 31 152-157
[7]  
Komarov VA(1994)Euler Approximation of the Feasible Set Numer. Funct. Anal. Optim. 15 245-261
[8]  
Pevchikh KE(2009)Estimates of the Reachable Sets and Optimality Conditions for the Nonlinear Control Systems with Discontinuous Trajectories Vestn. Tambov. Univ., Ser. Estestv. Tekhn. 14 707-709
[9]  
Dontchev AL(1996)Differential Inclusions in System Simulation Trans. SCS 13 47-54
[10]  
Hager WW(1990)The Exponential Formula for the Reachable Set of Lipschitz Differential Inclusion SIAM J. Control Optim. 28 1148-1161