Inverse Optimal Control for KdVB Equation

被引:0
作者
Cai, Xiushan [1 ,3 ]
Lin, Yuhang [2 ]
Yang, Lei [1 ]
Ke, Changwu [1 ]
机构
[1] Xiamen Inst Technol, Sch Data & Comp Sci, Xiamen 361021, Peoples R China
[2] Meta Platforms, Menlo Pk, CA 94025 USA
[3] Hubei Normal Univ, Coll Elect Engn & Automat, Huangshi 435002, Hubei, Peoples R China
来源
2024 43RD CHINESE CONTROL CONFERENCE, CCC 2024 | 2024年
关键词
Korteweg-de Vries-Burgers equation; Inverse optimal control; Regulation design; Boundary control; BURGERS-EQUATION; STABILIZATION; FEEDBACK; MODEL;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider inverse optimal control for Korteweg-de Vries-Burgers (KdVB) equation. First, boundary controls are designed to regulate the state of closed-loop system to a given set point from any initial value. Furthermore, we prove that the proposed boundary controls can minimize a meaningful functional. The validity of the proposed controller is illustrated by an example.
引用
收藏
页码:1581 / 1585
页数:5
相关论文
共 17 条
[1]   Wave suppression by nonlinear finite-dimensional control [J].
Armaou, A ;
Christofides, PD .
CHEMICAL ENGINEERING SCIENCE, 2000, 55 (14) :2627-2640
[2]   Boundary control of the Korteweg-de Vries-Burgers equation: Further results on stabilization and well-posedness, with numerical demonstration [J].
Balogh, A ;
Krstic, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (09) :1739-1745
[3]   Output feedback stabilization of the linearized Korteweg-de Vries equation with right endpoint controllers [J].
Batal, Ahmet ;
Ozsari, Turker .
AUTOMATICA, 2019, 109
[4]   Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems [J].
Cai, Xiushan ;
Bekiaris-Liberis, Nikolaos ;
Krstic, Miroslav .
AUTOMATICA, 2019, 103 :549-557
[5]   Inverse optimal control for strict-feedforward nonlinear systems with input delays [J].
Cai, Xiushan ;
Lin, Cong ;
Liu, Leipo ;
Zhan, Xisheng .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (08) :2976-2995
[6]   Input-to-State Stability and Inverse Optimality of Linear Time-Varying-Delay Predictor Feedbacks [J].
Cai, Xiushan ;
Bekiaris-Liberis, Nikolaos ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (01) :233-240
[7]   Rapid Stabilization for a Korteweg-de Vries Equation From the Left Dirichlet Boundary Condition [J].
Cerpa, Eduardo ;
Coron, Jean-Michel .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (07) :1688-1695
[8]   A reduced model of pulsatile flow in an arterial compartment [J].
Crepeau, Emmanuelle ;
Sorine, Michel .
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) :594-605
[9]   Nonlinear waves in a thick-wallets viscoelastic tube filled with an inviscid fluid [J].
Demiray, H .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1998, 36 (03) :345-357
[10]   Inverse optimality in robust stabilization [J].
Freeman, RA ;
Kokotovic, PV .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (04) :1365-1391