Composite control of non-linear singularly perturbed systems: a geometric approach

DOI10.1080/00207178808906343zbMath0659.93016OpenAlexW1975034414MaRDI QIDQ3809650

Paul Sharkey, John O'Reilly

Publication date: 1988

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178808906343

zbMATH Keywords

strong stabilityslow integral manifoldcomposite state feedbacknonlinear singularly perturbed control system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Invariant manifolds for ordinary differential equations (34C45) Control/observation systems governed by ordinary differential equations (93C15) Singular perturbations for ordinary differential equations (34E15)

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Robustness design of fuzzy controllers for nonlinear multiple time-delay singularly perturbed systems: using dither as auxiliary ⋮ Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems ⋮ Gain scheduling control of nonlinear singularly perturbed time-varying systems with derivative information ⋮ Sliding observer-based feedback control for flexible joints manipulator ⋮ Tracking control of nonlinear automobile idle-speed time-delay system via differential geometry approach

Cites Work

• Singular perturbations and time-scale methods in control theory: Survey 1976-1983
• Integral manifolds and decomposition of singularly perturbed systems
• Applications of centre manifold theory
• Geometric singular perturbation theory for ordinary differential equations
• Recent trends in feedback design: An overview
• Stabilization and regulation of nonlinear singularly perturbed systems--Composite control
• A corrective feedback design for nonlinear systems with fast actuators
• Exact design manifold control of a class of nonlinear singularly perturbed systems
• Two-time-scale feedback design of a class of nonlinear systems
• Properties of solutions of ordinary differential equations with small parameters

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