On applications of singular perturbation techniques in nonlinear optimal control

DOI10.1016/0005-1098(83)90093-6zbMath0501.93027OpenAlexW2201937455MaRDI QIDQ1172593

Josef Shinar

Publication date: 1983

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(83)90093-6

zbMATH Keywords

singular perturbationszero-order composite feedback control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Singular perturbations for ordinary differential equations (34E15)

Related Items

Steering control of singularly perturbed systems: A composite control approach, Asymptotic solution of a singularly perturbed optimal problem with integral constraint, Quasi-steady-state models of three timescale systems: a bond graph approach, Singular perturbations and time-scale methods in control theory: Survey 1976-1983, Uniformly valid feedback expansions for optimal control of singularly perturbed dynamic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear singularly perturbed optimal control problems with singular arcs
• Singular perturbation and iterative separation of time scales
• Formal asymptotic solution of a singularly perturbed nonlinear optimal control problem
• The quality problem in pursuit games for inertial systems. II: The quality problem in pursuit games subject to normal-acceleration constraints
• Singular perturbations and order reduction in control theory - an overview
• A class of singularly perturbed nonlinear fixed-endpoint control problems
• Optimal guidance law in the plane
• A singular perturbation analysis of optimal aerodynamic and thrust magnitude control
• Analysis of Optimal Turning Maneuvers in the Vertical Plane
• Singular Perturbation Techniques for On-Line Optimal Flight-Path Control
• A decomposition of near-optimum regulators for systems with slow and fast modes
• Solution of the minimum time-to-climb problem by matched asymptotic expansions
• Singular perturbation methods for variational problems in aircraft flight
• Optimal open- and closed-loop control of singularly peturbed linear systems