DIDO: A MATLAB application package for solving optimal control problems. DIDO optimal control software is powered by pseudospectral technology and is the minimalist’s approach to solving optimal control problems. Only the problem formulation is required to use DIDO. Absolutely no knowledge of the underlying pseudospectral theory is needed to generate and validate optimal control results. Other than the optimal states, control, and time, DIDO automatically outputs the Hamiltonian, costates, path covectors, and endpoint covectors. This information can be used alongside classical tools such as Pontryagin’s principle to instantly verify numerical results.

References in zbMATH (referenced in 14 articles )

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  1. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  2. Ioslovich, Ilya; Gutman, Per-Olof; Berger, Ari; Moshenberg, Shai: On energy-optimal and time-optimal precise displacement of rigid body with friction (2017)
  3. Sabeh, Z.; Shamsi, M.; Dehghan, Mehdi: Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach (2016)
  4. Li, Jing; Xi, Xiao-ning: Time-optimal reorientation of the rigid spacecraft using a pseudospectral method integrated homotopic approach (2015)
  5. Ross, Steven M.; Cobb, Richard G.; Baker, William P.; Harmon, Frederick G.: Implementation lessons and pitfalls for real-time optimal control with stochastic systems (2015)
  6. Mašić, Alma; Eberl, Hermann J.: On optimization of substrate removal in a bioreactor with wall attached and suspended bacteria (2014)
  7. Conway, Bruce A.: A survey of methods available for the numerical optimization of continuous dynamic systems (2012)
  8. Lantoine, Gregory; Russell, Ryan P.: A hybrid differential dynamic programming algorithm for constrained optimal control problems. I: Theory (2012)
  9. Melton, Robert G.: Numerical analysis of constrained, time-optimal satellite reorientation (2012)
  10. Basset, G.; Xu, Y.; Yakimenko, O.A.: Computing short-time aircraft maneuvers using direct methods (2010)
  11. Cowling, Ian D.; Yakimenko, Oleg A.; Whidborne, James F.; Cooke, Alastair K.: Direct method based control system for an autonomous quadrotor (2010)
  12. Kang, Wei: Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems (2010)
  13. Gong, Qi; Ross, I.Michael; Kang, Wei; Fahroo, Fariba: Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control (2008)
  14. Kang, W.; Gong, Q.; Ross, I.M.; Fahroo, F.: On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems (2007)