Construction of the Time-Optimal Bounded Control for Linear Discrete-Time Systems Based on the Method of Superellipsoidal Approximation

Ibragimov, D. N.; Podgornaya, V. M.

doi:10.1134/s0005117923090035

Autom Remote Control

2023

DOI: 10.1134/s0005117923090035

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Construction of the Time-Optimal Bounded Control for Linear Discrete-Time Systems Based on the Method of Superellipsoidal Approximation

D. N. Ibragimov,

V. M. Podgornaya

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2024

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Cited by 1 publication

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On the Suboptimal Solution of the Speed-In-Action Problem for a Linear Discrete System in the Case of Asymmetric Control Constraints

Podgornaya

2024

Modelling and Data Analysis

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<p>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.</p>

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On the Suboptimal Solution of the Speed-In-Action Problem for a Linear Discrete System in the Case of Asymmetric Control Constraints

Podgornaya

2024

Modelling and Data Analysis

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Construction of the Time-Optimal Bounded Control for Linear Discrete-Time Systems Based on the Method of Superellipsoidal Approximation

Cited by 1 publication

References 16 publications

On the Suboptimal Solution of the Speed-In-Action Problem for a Linear Discrete System in the Case of Asymmetric Control Constraints

On the Suboptimal Solution of the Speed-In-Action Problem for a Linear Discrete System in the Case of Asymmetric Control Constraints

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