Design quality functionals for control systems with exponential activation function

TL;DR

This paper develops integral quality functionals for control systems with exponential activation functions, balancing energy consumption and stability by solving an inverse dynamic programming problem.

Contribution

It introduces a novel approach to define control system quality functionals involving exponential activation functions, enhancing accuracy and energy efficiency.

Findings

Functional components relate to power and stability.

In some cases, components are non-elementary functions.

Using these functionals improves control accuracy and reduces energy use.

Abstract

The paper deals with the determination of integral functional quality for control system of generalized linear dynamic object with exponential activation function by solving the inverse problem of dynamic programming. The obtained functionals contain two components that define the power consumption of the control object and stability of the trajectories of control object. In some cases these components can not be represented by elementary functions but their using can improve accuracy and reduce the energy consumption of control object.