Symbolic Regression Methods

Stabilization of Movement along an Optimal Trajectory and Its Solution

“…If we replace a control vector u by the found control function v(t) in the right part of ODE system (1), then the obtained ODE system ẋ = f(x, v(t)) (7) will have a particular solution that reaches the given terminal state (4) from the given initial state (3) with the optimal value of the quality criterion (5). Let v * (t) be the optimal control function.…”

“…For more details on the network operator and the genetic algorithm that searches for the mathematical expression using the network operator, see the monographs [4,5].…”

“…The search for a structure of function of many arguments is a difficult task. Here, it is possible to use methods of symbolic regression [4,5]. This perspective direction allows the search of mathematical expressions in coded form by means of a special evolutionary genetic algorithm.…”

Synthesis of a Feedback Controller by the Network Operator Method for a Mobile Robot Rosbot in Gazebo Environment

“…The network operator method [21] was used in the calculations. This symbolic regression method is good because it uses the principle of variation of the basic solution, which significantly speeds up the process of finding a solution that is close to optimal.…”

“…For the selected object, the problem of synthesizing the stabilization system was successfully solved by machine learning based on symbolic regression via the network operator method [21].…”