Hierarchical Least Squares Optimal Control of 2-D Systems

被引：0
|
作者：
Nyman, Per-Ole [1 ]
机构：
[1] Univ Coll Narvik, Dept Comp Sci Elect Engn & Space Technol, N-8505 Narvik, Norway
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词：
2-D systems; linear quadratic control; optimization; indefinite least squares;
D O I：
10.1109/ACC.2009.5160019
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An indefinite least squares approach to discrete-time linear quadratic control of two-dimensional systems of Roesser type is presented. Initial and final boundary states are constrained to lie in affine subspaces. By introducing a hierarchical decomposition technique, the problem is converted to a collection of similar smaller size problems. Successive use of the decomposition technique renders computational feasibility on substantially larger coordinate grids than without decomposition. Necessary and sufficient conditions for existence of a unique optimal solution are provided in terms of the smaller size problems.
引用
收藏
页码：1736 / 1741
页数：6
相关论文
共 50 条
  • [41] Control of Discrete 2-D Takagi-Sugeno Systems via a Sum-of-Squares Approach
    Chaibi, Redouane
    Hmamed, Abdelaziz
    Tissir, El Houssaine
    Tadeo, Fernando
    JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2019, 30 (02) : 137 - 147
  • [42] RECURSIVE SOLUTION AND STABILITY CONDITIONS FOR 2-D LEAST-SQUARES MODELING AND STABILIZATION PROBLEMS
    LU, HQ
    CHAPARRO, LF
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1990, 327 (02): : 259 - 271
  • [43] SIMPLIFIED WEIGHTED LEAST-SQUARES DESIGN OF 2-D FIR DIGITAL-FILTERS
    GAUTHIER, C
    PAULIN, J
    BELLANGER, M
    ANNALES DES TELECOMMUNICATIONS-ANNALS OF TELECOMMUNICATIONS, 1994, 49 (9-10): : 499 - 504
  • [44] Local integration of 2-D fractional telegraph equation via moving least squares approximation
    Shivanian, Elyas
    Abbasbandy, Saeid
    Alhuthali, Mohammed S.
    Alsulami, Hamed H.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 56 : 98 - 105
  • [45] 2-D robust recursive least squares lattice algorithm for defect inspection of textile products
    Meylani, R
    Ertüzün, A
    Erçil, A
    PROCEEDINGS OF THE IEEE-EURASIP WORKSHOP ON NONLINEAR SIGNAL AND IMAGE PROCESSING (NSIP'99), 1999, : 593 - 597
  • [46] 2-D adaptive CPWQ fast filtering based on weighted least-squares errors
    Sakrani, S
    Sayadi, M
    Fnaiech, F
    ISCCSP : 2004 FIRST INTERNATIONAL SYMPOSIUM ON CONTROL, COMMUNICATIONS AND SIGNAL PROCESSING, 2004, : 697 - 700
  • [47] An Optimal Hierarchical Algorithm for Factored Nonlinear Weighted Least Squares State Estimation
    Mathews, George M.
    2012 3RD IEEE PES INNOVATIVE SMART GRID TECHNOLOGIES EUROPE (ISGT EUROPE), 2012,
  • [48] Least Squares Design of 2-D FIR Notch Filters Based on the Hopfield Neural Networks
    Xu, Wei
    Zhang, Ruihua
    Li, Anyu
    Shi, Boya
    Yan, Shuxia
    PROCEEDINGS OF 2018 INTERNATIONAL CONFERENCE ON ELECTRONICS AND ELECTRICAL ENGINEERING TECHNOLOGY (EEET 2018), 2018, : 102 - 106
  • [49] Least-squares design of 2-D FIR filters that are subject to peak error constraints
    Hiroshima Univ, Higashi-Hiroshima, Japan
    Electron Commun Jpn Part III Fundam Electron Sci, 9 (75-82):
  • [50] Least-squares design of 2-D FIR filters that are subject to peak error constraints
    Doi, A
    Hinamoto, T
    ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 1998, 81 (09): : 75 - 82
12345