Stabilization of Movement along an Optimal Trajectory and Its Solution

Engineering Proceedings

article

Askhat Diveev¹  Elena Sofronova¹  Nurbek Konyrbaev²  Ainur Bexeitova² 

[1] Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences;Institute of Engineering and Technology, Korkyt Ata Kyzylorda University

关键词: optimal control;    stabilization system;    control synthesis;    symbolic regression;    evolutionary computations;   

DOI  :  10.3390/engproc2023033012

来源: mdpi

【 摘 要 】

The extended optimal control problem is considered. It is necessary to find an optimal control function, that not only provides the achievement of terminal state with optimal value of the given quality criterion, but also is implemented in the control system of a real object. It means, that the control function should depend on the state space vector, and the optimal solution should keep optimality property at small perturbations of the found solution. To solve this problem machine learning control by symbolic regression is used. In the extended optimal control problem, the problem statement of stabilization system synthesis for movement along the optimal trajectory is included. Synthesis problem is solved by the network operator method. In the synthesis problem a domain of initial conditions is considered instead of one point of initial state. It provides less sensitivity of found solution to perturbations of initial states. An example of solving the extended optimal control problem with complex phase constraints in the form of bottleneck for four quadcopters is presented.

【 授权许可】

Unknown