Abstract
A new approach to optimization of nonlinear control systems with terminal constraints based on the sequential solution of nonlocal control improvement problems in the form of special systems of functional equations in the control space is considered. The corresponding systems are constructed as fixed point problems of special control operators with an additional algebraic equation, to the solution of which the apparatus of the theory and methods of fixed points is applied. The proposed algorithms for successive approximations of control with the preservation of all terminal constraints at each iteration of approximations do not contain the laborious operation of parametric variation to improve control, which is typical for gradient improvement methods. The effectiveness of the proposed methods for constructing relaxation control sequences on the set of admissible controls in the considered class of optimization of control systems is illustrated by model examples.
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Trunin, D. (2022). Nonlocal Optimization Methods for Nonlinear Controlled Systems with Terminal Constraints. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V., Pospelov, I. (eds) Advances in Optimization and Applications. OPTIMA 2022. Communications in Computer and Information Science, vol 1739. Springer, Cham. https://doi.org/10.1007/978-3-031-22990-9_4
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DOI: https://doi.org/10.1007/978-3-031-22990-9_4
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