GPOPS-II - MATLAB Optimal Control Software. GPOPS-II is the next-generation of general purpose optimal control software. GPOPS-II is a new MATLAB software intended to solve general nonlinear optimal control problems (that is, problems where it is desired to optimize systems defined by differential-algebraic equations). GPOPS-II implements the new class of variable-order Gaussian quadrature methods. Using GPOPS-II, the continuous-time optimal control problem is transcribed to a nonlinear programming problem (NLP). The NLP is then solved using either the NLP solver SNOPT or the NLP solver IPOPT. GPOPS-II has been written by Michael A. Patterson and Anil V. Rao and represents a major advancement in the numerical solution of optimal control problems. GPOPS-II is available at NO CHARGE TO MEMBERS OF THE UNIVERSITY OF FLORIDA OR ANY U.S. FEDERAL GOVERNMENT INSTITUTION. All others are required to pay a licensing fee for using GPOPS-II. See also: Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method. (Source:

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 45 articles , 2 standard articles )

Showing results 1 to 20 of 45.
Sorted by year (citations)

1 2 3 next

  1. Wang, Pengling; Goverde, Rob M. P.: Multi-train trajectory optimization for energy-efficient timetabling (2019)
  2. Campo-Duarte, Doris E.; Vasilieva, Olga; Cardona-Salgado, Daiver; Svinin, Mikhail: Optimal control approach for establishing wMelpop Wolbachia infection among wild Aedes aegypti populations (2018)
  3. Nicholson, Bethany; Siirola, John D.; Watson, Jean-Paul; Zavala, Victor M.; Biegler, Lorenz T.: pyomo.dae: a modeling and automatic discretization framework for optimization with differential and algebraic equations (2018)
  4. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  5. Wang, Hsuan-Hao; Lo, Yi-Su; Hwang, Feng-Tai; Hwang, Feng-Nan: A full-space quasi-Lagrange-Newton-Krylov algorithm for trajectory optimization problems (2018)
  6. Xiao, Long; Liu, Xinggao; Ma, Liang; Zhang, Zeyin: An effective pseudospectral method for constraint dynamic optimisation problems with characteristic times (2018)
  7. Frego, Marco; Bertolazzi, Enrico; Biral, Francesco; Fontanelli, Daniele; Palopoli, Luigi: Semi-analytical minimum time solutions with velocity constraints for trajectory following of vehicles (2017)
  8. Kelly, Matthew: An introduction to trajectory optimization: how to do your own direct collocation (2017)
  9. Mall, Kshitij; Grant, Michael James: Epsilon-Trig regularization method for bang-bang optimal control problems (2017)
  10. Quirynen, Rien; Gros, Sébastien; Houska, Boris; Diehl, Moritz: Lifted collocation integrators for direct optimal control in ACADO toolkit (2017)
  11. Scheepmaker, Gerben M.; Goverde, Rob M. P.; Kroon, Leo G.: Review of energy-efficient train control and timetabling (2017)
  12. Aykutlug, Erkut; Topcu, Ufuk; Mease, Kenneth D.: Manifold-following approximate solution of completely hypersensitive optimal control problems (2016)
  13. Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.: Solving optimal control problems with control delays using direct transcription (2016)
  14. Campbell, Stephen; Kunkel, Peter: Solving higher index DAE optimal control problems (2016)
  15. Campbell, Stephen L.; Betts, John T.: Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches (2016)
  16. Cannataro, Begüm Şenses; Rao, Anil V.; Davis, Timothy A.: State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control (2016)
  17. Merino, Enrique Guerrero; Duarte-Mermoud, Manuel A.: Online energy management for a solar car using pseudospectral methods for optimal control (2016)
  18. Sabeh, Z.; Shamsi, M.; Dehghan, Mehdi: Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach (2016)
  19. Choi, Han-Lim; Ha, Jung-Su: Informative windowed forecasting of continuous-time linear systems for mutual information-based sensor planning (2015)
  20. Françolin, Camila C.; Benson, David A.; Hager, William W.; Rao, Anil V.: Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods (2015)

1 2 3 next

Further publications can be found at: