Regional quadratic control problem for distributed bilinear systems with bounded controls

被引：1

作者：

Zerrik, El Hassan ^{[1
]}

机构：

[1] Univ Moulay Ismail, MACS Team, Fac Sci, Meknes, Morocco

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2014年 / 87卷 / 11期

关键词：

distributed bilinear systems; regional quadratic control problem; bounded controls; OUTPUT CONTROLLABILITY; KIRCHHOFF PLATE;

D O I：

10.1080/00207179.2014.913345

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 aim of this paper is to study regional quadratic control problem for a distributed bilinear system evolving in a spatial domain Omega. The question is to obtain a bounded feedback control that drives such a system from an initial state to a desired one in finite time, only on a subregion omega of Omega, and minimises a quadratic functional cost. Our purpose is to prove that an optimal control exists, and characterised as solution of an optimality system. The approach is successfully illustrated by simulations.

引用

页码：2348 / 2353

页数：6

共 50 条

[1] Constrained regional control problem for distributed bilinear systems
Zerrik, El Hassan
Sidi, Maawiya Ould
[J]. IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (15): : 1914 - 1921
[2] OPTIMAL BOUNDED CONTROLS PROBLEM FOR BILINEAR SYSTEMS
Zerrik, El Hassan
El Boukhari, Nihale
[J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2015, 4 (02): : 221 - 232
[3] REGIONAL CONTROL PROBLEM FOR DISTRIBUTED BILINEAR SYSTEMS: APPROACH AND SIMULATIONS
Ztot, Karima
Zerrik, El Hassan
Bourray, Hamid
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (03) : 499 - 508
[4] On the regional tracking problem of the bilinear wave equation subject to bounded controls
Zerrik, El Hassan
Aadi, Abderrahman Ait
Ouhafsa, Mohamed
[J]. EUROPEAN JOURNAL OF CONTROL, 2024, 76
[5] Regional optimal control problem with minimum energy for a class of bilinear distributed systems
Zine, Rabie
Sidi, Maawiya Ould
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (04) : 1187 - 1199
[6] Gradient optimal control problem of the bilinear reaction-diffusion equation using distributed bounded controls
Zerrik, El Hassan
Ouhafsa, Mohamed
Aadi, Abderrahman Ait
[J]. IFAC PAPERSONLINE, 2022, 55 (12): : 735 - 740
[7] Normalised quadratic controls for a class of bilinear systems
Chen, MS
Chen, YZ
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2002, 149 (06): : 520 - 524
[8] On the gradient tracking problem for a bilinear reaction-diffusion equation excited by distributed bounded controls
Zerrik, El Hassan
Aadi, Abderrahman Ait
Ouhafsa, Mohamed
[J]. JOURNAL OF CONTROL AND DECISION, 2023, 10 (03) : 365 - 373
[9] STABILIZATION OF BILINEAR-SYSTEMS BY QUADRATIC FEEDBACK CONTROLS
QUINN, JP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (01) : 66 - 80
[10] Quadratic stabilization of bilinear control systems
Khlebnikov, M. V.
[J]. AUTOMATION AND REMOTE CONTROL, 2016, 77 (06) : 980 - 991

← 1 2 3 4 5 →