On the Suboptimal Solution of the Speed-In-Action Problem for a Linear Discrete System in the Case of Asymmetric Control Constraints
Year: 2024
Type: article
Abstract: The paper considers a linear discrete system with bounded control. The speed-in-action problem is solved for the system, that is, it is required to construct a control process that transfers the system from the initial state to the origin in a minimum number of steps. If the set of acceptable control values has a superellipse structure, then the problem of calculating optimal control can be reduced to solving a system of algebraic equations. A superellipsoidal approximation method has been developed for sets of arbitrary structure, and the case of asymmetric sets has been considered. Examples are given.
Source: Modelling and Data Analysis
Author: V.M. Podgornaya
Institution: Moscow Aviation Institute
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4403189203