MUSCOD-II. A Software Package for Numerical Solution of Optimal Control Problems involving Differential-Algebraic Equations (DAE). The optimization package MUSCOD-II is designed to efficiently and reliably solve optimal control problems for systems described by ordinary differential equations (ODE) or by differential-algebraic equations (DAE) of index one. MUSCOD-II can treat system models formulated either in the gPROMS modeling language (PSE Ltd.), in FORTRAN, or in C, and it has been widely applied to industrial problems, in particular in the field of chemical engineering. The software has the capability to solve highly nonlinear problems with complex equality or inequality constraints on states and controls, as e.g., final state constraints, periodicity conditions, or path constraints. Furthermore, a unique multistage formulation allows to optimize integrated batch processes consisting of several coupled process stages, e.g., a batch reaction step followed by a batch separation step.

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  1. Felis, Martin Leonhard: Modeling emotional aspects in human locomotion (2015)
  2. Janka, Dennis: Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations (2015)
  3. Hatz, Kathrin: Efficient numerical methods for hierarchical dynamic optimization with application to cerebral palsy gait modeling (2014)
  4. Kirches, Christian; Leyffer, Sven: TACO: a toolkit for AMPL control optimization (2013)
  5. Albrecht, Sebastian; Leibold, Marion; Ulbrich, Michael: A bilevel optimization approach to obtain optimal cost functions for human arm movements (2012)
  6. Winkler, Ralph: A note on the optimal control of stocks accumulating with a delay (2011)
  7. Cristiani, E.; Martinon, P.: Initialization of the shooting method via the Hamilton-Jacobi-Bellman approach (2010)
  8. Sager, Sebastian; Bock, Hans Georg; Reinelt, Gerhard: Direct methods with maximal lower bound for mixed-integer optimal control problems (2009)
  9. Romanenko, Andrey; Santos, Lino O.: A nonlinear model predictive control framework as free software: outlook and progress report (2007)
  10. Riede, Peter: Optimization of multiple setpoint problems with application to vehicle models (2006)
  11. Sager, Sebastian: Numerical methods for mixed-integer optimal control problems (2006)
  12. Sager, Sebastian; Bock, Hans Georg; Diehl, Moritz; Reinelt, Gerhard; Schlöder, Johannes P.: Numerical methods for optimal control with binary control functions applied to a Lotka-Volterra type fishing problem (2006)
  13. Diehl, Moritz; Bock, Hans Georg; Schlöder, Johannes P.: A real-time iteration scheme for nonlinear optimization in optimal feedback control (2005)
  14. Tran Hong Thai: Numerical methods for parameter estimation and optimal control of the Red River network (2005)
  15. Diehl, Moritz; Bock, H. Georg; Schlöder, Johannes P.: Newton-type methods for the approximate solution of nonlinear programming problems in real-time (2003)
  16. Leineweber, Daniel: Efficient reduced SQP methods for the optimization of chemical processes described by large sparse DAE models (1998)