Bibliography
Here are some useful references for further reading.
References
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn., vol. 3, no. 1, p. 1–122, Jan. 2011.
B. Stellato, G. Banjac, P. Goulart, A. Bemporad, and S. Boyd, “OSQP: an operator splitting solver for quadratic programs,”Mathematical Programming Computation, vol. 12, no. 4, pp. 637–672, 2020.
G. Stathopoulos, H. Shukla, A. Szucs, Y. Pu, and C. N. Jones, Operator SplittingMethods in Control. Now Foundations and Trends, 2016.
Goldfarb, Donald and Ashok U. Idnani. “A numerically stable dual method for solving strictly convex quadratic programs.” Mathematical Programming 27 (1983): 1-33.
Nocedal and S. J. Wright, Numerical Optimization, 2nd ed. New York, NY, USA: Springer, 2006.
D. Ruiz, “A scaling algorithmto equilibrate both rows and columns norms in matrices,” Rutherford Appleton Lab, Tech. Rep., 2001.
L. T. Biegler, “Solution of dynamic optimization problems by successive quadratic programming and orthogonal collocation,” Computers & Chemical Engineering, vol. 8, no. 3, pp. 243–247, 1984.
F. Fahroo,D. B.Doman, and A.D.Ngo, “Footprint generation for reusable launch vehicles using a direct pseudospectral method,” ser. American Control Conference, vol. 3, 2003, pp. 2163–2168.
D. Benson, “A gauss pseudospectral transcription for optimal control,” Ph.D. dissertation, Massachusetts Institute of Technology, 2005.
G. Huntington, “Advancement and analysis of gauss pseudospectral transcription for optimal control problems,” Ph.D. dissertation,Massachusetts Institute of Technology, 2007.
Trefethen “Spectral methods in MATLAB”, Society for industrial and applied mathematics, 2000.
P. Listov, C. Jones “PolyMPC: An efficient and extensible tool for real‐time nonlinear model predictive tracking and path following for fast mechatronic systems”, Optimal Control Applications and Methods, 2020.
R. Linsen, P. Listov, A. Lajarte, R. Schwan, C. Jones “Optimal Thrust Vector Control of an Electric Small-Scale Rocket Prototype”, 2022 International Conference on Robotics and Automation (ICRA), 2022