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More Dynamic Optimization Benchmarks

Exercise

Objective: Set up and solve several dynamic optimization benchmark problems. Create a program1 to optimize and display the results. Estimated Time (each): 30 minutes


Aly-Chan Singular Control Problem2

  • Solve the following nonlinear and constrained problem.
  • The objective is to minimize final state x3(pi/2) by adjusting the value of u.
  • Compare to the exact solution of u(t)= -sin(t).

Aly Singular Control Problem

See estimation example using the same model to explain estimator objectives.


Catalyzed Reaction


Commercial Fishery


Jennings Problem


Luus Problem


References

  1. Hedengren, J. D. and Asgharzadeh Shishavan, R., Powell, K.M., and Edgar, T.F., Nonlinear Modeling, Estimation and Predictive Control in APMonitor, Computers and Chemical Engineering, Volume 70, pg. 133–148, 2014. Article
  2. Aly G.M. and Chan W.C. Application of a modified quasilinearization technique to totally singular optimal problems. International Journal of Control, 17(4): 809-815, 1973.