Diffy G Methods¶

Indirect method of optimization based on Differential Geometry [1].

Controls are handled in one of two ways: Symplectic ICRM [1] [2] or PMP.

Path constraints are handled in one of two ways: UTM [3] [4] [5] [6] or epsilon-trig [3] [4]

Inequality boundary constraints are handled using UTM [7].

Switching conditions are handled using RASHS [8].

Base Class Reference¶

[1]	(1, 2) Michael J. Sparapany. Aerospace Mission Design on Quotient Manifolds. Dissertation. Purdue University Graduate School, 2020.

[2]	Michael J. Sparapany, and Michael J. Grant. “The Geometric Adjoining of Optimal Information in Indirect Trajectory Optimization.” 2018 AIAA Guidance, Navigation, and Control Conference. 2018.

[3]	(1, 2) Kshitij Mall, and Michael J. Grant. “Epsilon-Trig Regularization for Bang-Bang Optimal Control Problems.” Journal of Optimization Theory and Applications, Vol. 174, No. 2, 2017, pp. 500-517

[4]	(1, 2) Kshitij Mall, and Michael J. Grant. “Trigonomerization of Optimal Control Problems with Bounded Controls.” AIAA 2016-3244, AIAA Atmospheric Flight Mechanics Conference, Washington D.C., 13-17 Jun. 2016

[5]	Kshitij Mall, and Michael J. Grant. “Trigonomerization of Optimal Control Problems with Mixed State-Control Constraints.” Journal of Optimization Theory and Applications. [Submitted]

[6]	Kshitij Mall. “Advancing Optimal Control Theory using Trigonometry for Solving Complex Aerospace Problems.” Dissertation. Purdue University, West Lafayette, 2018

[7]	Nolan, Sean M., Michael J. Sparapany, and Daniel A. DeLaurentis. “Extension of Unified Trigonometrization Method to Enforce Inequality Boundary Conditions in Optimal Control Problems.” AIAA AVIATION 2020 FORUM. 2020.

[8]	Harish Saranathan, and Michael J. Grant. “The Relaxed Autonomously Switched Hybrid System (RASHS) Approach to Indirect Multi-Phase Trajectory Optimization for Aerospace Vehicles.” AIAA 2018-0016, 2018 AIAA Atmospheric Flight Mechanics Conference. 2018