Cheap control problem of a linear uniform rank system: Design by composite control

DOI10.1016/0005-1098(86)90017-8zbMath0602.93031OpenAlexW2064407247MaRDI QIDQ1082305

Ali Saberi, Peddapullaiah Sannuti

Publication date: 1986

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(86)90017-8

zbMATH Keywords

singular controlsCheap controlsuboptimal composite control schemestime-scale decomposition

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Singular perturbations and order reduction in control theory - an overview
• Direct singular perturbation analysis of high-gain and cheap control problems
• Multiple time-scale decomposition in cheap control problems--Singular control
• The optimal LQ regulator with cheap control for not strictly proper systems
• The optimal linear-quadratic time-invariant regulator with cheap control
• On a class of optimal control problems with an almost cost-free solution
• Asymptotic root loci of multivariable linear optimal regulators
• A decomposition of near-optimum regulators for systems with slow and fast modes
• Singular perturbations and singular arcs--Part II
• A singular perturbation analysis of high-gain feedback systems
• Quadratic weights for asymptotic regulator properties

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