Convergence of pseudospectral methods for constrained nonlinear optimal control problems

被引:0
|
作者
Gong, Q [1 ]
Ross, IM [1 ]
Kang, W [1 ]
Fahroo, F [1 ]
机构
[1] USN, Postgrad Sch, Dept Mech & Astronaut Engn, Monterey, CA 93943 USA
关键词
constrained nonlinear optimal control; pseudospectral methods; convergence;
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
In recent years. a large number of practical, nonlinear optimal control problems have been solved by pseudospectral methods. In an effort to better understand this new approach to solving control problems, we present convergence, results for the discrete pseudospectral approximations of optimal control problems with mixed state and control constraints. A set of sufficient conditions are identified under which the solution of the discretized optimal control problem converges to the continuous solution at a spectral rate.
引用
收藏
页码:209 / 214
页数:6
相关论文
共 50 条
  • [1] Dual convergence of the legendre pseudospectral method for solving nonlinear constrained optimal control problems
    Gong, Q
    Ross, IM
    Kang, W
    Fahroo, F
    [J]. PROCEEDINGS OF THE EIGHTH IASTED INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND CONTROL, 2005, : 431 - 436
  • [2] Solutions of nonlinear constrained optimal control problems using quasilinearization and variational pseudospectral methods
    Li, Mingwu
    Peng, Haijun
    [J]. ISA TRANSACTIONS, 2016, 62 : 177 - 192
  • [3] A Chebyshev Pseudospectral Method for Nonlinear Constrained Optimal Control Problems
    Gong, Qi
    Ross, I. Michael
    Fahroo, Fariba
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 5057 - 5062
  • [4] Adaptive pseudospectral methods for solving constrained linear and nonlinear time-delay optimal control problems
    Malekin, Mohammad
    Hashim, Ishak
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (02): : 811 - 839
  • [5] Convergence of pseudospectral discretizations of optimal control problems
    Ross, IM
    Fahroo, F
    [J]. PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 3175 - 3177
  • [6] On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems
    Kang, W.
    Gong, Q.
    Ross, I. M.
    Fahroo, F.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (14) : 1251 - 1277
  • [7] Convergence of pseudospectral methods for a class of discontinuous optimal control
    Kang, Wei
    Gong, Qi
    Ross, I. Michael
    [J]. 2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 2799 - 2804
  • [8] Pseudospectral chebyshev optimal control of constrained nonlinear dynamical systems
    Elnagar, GN
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 1998, 11 (02) : 195 - 217
  • [9] Pseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems
    Gamal N. Elnagar
    Mohammad A. Kazemi
    [J]. Computational Optimization and Applications, 1998, 11 : 195 - 217
  • [10] On the modification and convergence of unconstrained optimal control using pseudospectral methods
    Ghassemi, Hussein
    Maleki, Mohammad
    Allame, Masoud
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (03): : 717 - 743