Trajectory Planning Approach to Output Tracking for a 1-D Wave Equation

被引:42
|
作者
Feng, Hongyinping [1 ]
Guo, Bao-Zhu [2 ,3 ]
Wu, Xiao-Hui [1 ]
机构
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
[2] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[3] Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
Propagation; Observers; Trajectory; Planning; Mathematical model; Measurement uncertainty; Payloads; Error-based feedback; noncollocated configuration; observer; output tracking; wave equation; INTERNAL-MODEL PRINCIPLE; DISTURBANCE REJECTION; FEEDBACK REGULATORS; BACKSTEPPING DESIGN; STABILIZATION; SYSTEMS; SERVOMECHANISM; SUBJECT;
D O I
10.1109/TAC.2019.2937727
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this article, we propose a trajectory planning approach to deal with various of the noncollocated configurations of output tracking through a one-dimensional wave equation. We mainly consider two noncollocated configurations: the performance output is noncollocated to the control input and the disturbance is noncollocated to the measurement output. By proper trajectory planning, the noncollocated configurations can be converted into the collocated ones so that the conventional method can be applied. An error-based feedback is proposed to realize the output tracking. Finally, as an application, the output tracking with general harmonic disturbance and reference signal are exemplified. Numerical simulation shows that the proposed approach is very effective.
引用
收藏
页码:1841 / 1854
页数:14
相关论文
共 50 条
  • [31] The existence and uniqueness of the solution of the inverse problem of 1-d wave equation
    Li, ZB
    3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 813 - 816
  • [32] Observability and Controllability of the 1-D Wave Equation in Domains with Moving Boundary
    Sengouga, Abdelmouhcene
    ACTA APPLICANDAE MATHEMATICAE, 2018, 157 (01) : 117 - 128
  • [33] Qualitative properties for the 1-D impulsive wave equation: controllability and observability
    Ben Aissa, Akram
    Zouhair, Walid
    QUAESTIONES MATHEMATICAE, 2022, 45 (08) : 1229 - 1241
  • [34] BOUNDARY STABILIZATION OF A 1-D WAVE EQUATION WITH IN-DOMAIN ANTIDAMPING
    Smyshlyaev, Andrey
    Cerpa, Eduardo
    Krstic, Miroslav
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2010, 48 (06) : 4014 - 4031
  • [35] Stability analysis for 1-D wave equation with delayed feedback control
    Zhou, Shijie
    Feng, Hongyinping
    Wang, Zhiqiang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 430
  • [36] The 1-d stochastic wave equation driven by a fractional Brownian sheet
    Quer-Sardanyons, Lluis
    Tindel, Samy
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2007, 117 (10) : 1448 - 1472
  • [37] Observability and Controllability of the 1-D Wave Equation in Domains with Moving Boundary
    Abdelmouhcene Sengouga
    Acta Applicandae Mathematicae, 2018, 157 : 117 - 128
  • [38] Boundary observability for the space-discretizations of the 1-d wave equation
    Infante, JA
    Zuazua, E
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (06): : 713 - 718
  • [39] Output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary
    Mei, Zhan-Dong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 508 (01)
  • [40] An Approach to the Correspondence Problem in the 1-D Optical Transducers Tracking System
    Wen, Qiuting
    Wu, Jian
    Tao, Hai
    Wang, Guangzhi
    Ye, Datian
    ADVANCED BIOMEDICAL AND CLINICAL DIAGNOSTIC SYSTEMS VII, 2009, 7169