Asymptotic approximations to the solution of the singularly perturbed linear-quadratic optimal control problem with terminal path constraints

DOI10.1134/S0005117920060041zbMath1455.93123OpenAlexW3035511860MaRDI QIDQ828066

L. I. Lavrinovich, Anatoly I. Kalinin

Publication date: 14 January 2021

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117920060041

zbMATH Keywords

optimal controllinear systemsingular perturbationsquadratic performance criterionasymptotic approximationssuboptimal feedback design

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Linear-quadratic optimal control problems (49N10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Unnamed Item ⋮ Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories

Cites Work

• Application of the small parameter method to the singularly perturbed linear-quadratic optimal control problem
• To the synthesis of optimal control systems
• Existence of optimum controls
• The asymptotics of the solutions of perturbed optimal control problems
• Singular perturbations in control problems
• Singular perturbation of linear regulators: Basic theorems
• Optimal open- and closed-loop control of singularly peturbed linear systems
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