Discrete variational integrators and optimal control theory

被引:0
|
作者
Manuel de León
David Martín de Diego
Aitor Santamaría-Merino
机构
[1] Instituto de Matemáticas y Física Fundamental,Laboratory of Dynamical Systems, Mechanics and Control
[2] Consejo Superior de Investigaciones Científicas,undefined
来源
关键词
symplectic integrator; generating function; optimal control theory;
D O I
暂无
中图分类号
学科分类号
摘要
A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special features of optimal control problems.
引用
收藏
页码:251 / 268
页数:17
相关论文
共 50 条
  • [21] Variational Integrators in Linear Optimal Filtering
    Flasskamp, Kathrin
    Murphey, Todd D.
    [J]. 2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 5140 - 5145
  • [22] Optimal Control of Mechanical Systems Based on Path-Fitted Variational Integrators
    Kong, Xinlei
    Yu, Shiyu
    Wu, Huibin
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2024, 19 (03):
  • [23] Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control
    Colombo, Leonardo
    Ferraro, Sebastian
    Martin de Diego, David
    [J]. JOURNAL OF NONLINEAR SCIENCE, 2016, 26 (06) : 1615 - 1650
  • [24] Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control
    Leonardo Colombo
    Sebastián Ferraro
    David Martín de Diego
    [J]. Journal of Nonlinear Science, 2016, 26 : 1615 - 1650
  • [25] Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators
    Shan Gao
    Donghua Shi
    Dmitry V. Zenkov
    [J]. Journal of Nonlinear Science, 2023, 33
  • [26] Mechanical integrators derived from a discrete variational principle
    Wendlandt, JM
    Marsden, JE
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1997, 106 (3-4) : 223 - 246
  • [27] Variational analysis in nonsmooth optimization and discrete optimal control
    Mordukhovich, Boris S.
    [J]. MATHEMATICS OF OPERATIONS RESEARCH, 2007, 32 (04) : 840 - 856
  • [28] AN APPLICATION OF DISCRETE OPTIMAL CONTROL THEORY
    POLAK, E
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1963, 276 (02): : 118 - &
  • [29] ON THE VARIATIONAL PROCESS IN OPTIMAL-CONTROL THEORY
    HULL, DG
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 67 (03) : 447 - 462
  • [30] On the Discrete-Time Modeling and Control of Synchronous Generators by Means of Variational Integrators and Sliding Modes
    Zapata-Zuluaga, Cristian C.
    Loukianov, Alexander G.
    Canedo, Jose M.
    Rivera, Jorge
    [J]. 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 6458 - 6463