Optimal initial choice of multipliers in the quasilinearization method for optimal control problems with bounded controls
- 1 July 1974
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 20 (1) , 17-33
- https://doi.org/10.1080/00207177408932712
Abstract
An algorithm to choose the initial multipliers optimally for quasilinearization solution of optimal control problems with bounded controls and constant multipliers is proposed. It uses diagonal matrices of weighting coefficients in the performance index of an auxiliary minimization problem. This auxiliary performance index comprises the cumulative error in the system constraints and the optimum conditions in the original extremization problem. The auxiliary performance index is quadratically dependent on the multipliers for given state and control functions. The resulting variational problem leads to linear Euler equations. The computational characteristics of the proposed method are demonstrated with two numerical examples.Keywords
This publication has 5 references indexed in Scilit:
- Optimal control of synchronous-machine excitation by quasilinearisation techniquesProceedings of the Institution of Electrical Engineers, 1972
- Modified quasilinearization and optimal initial choice of the multipliers part 2?Optimal control problemsJournal of Optimization Theory and Applications, 1970
- General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutionsJournal of Optimization Theory and Applications, 1970
- Extensions in quasilinearization techniques for optimal controlJournal of Optimization Theory and Applications, 1968
- Comparison of several numerical optimization methodsJournal of Optimization Theory and Applications, 1967