Singular perturbation analysis of the closed-loop discrete optimal control problem

DOI10.1002/oca.4660050103zbMath0543.93047OpenAlexW1964204819MaRDI QIDQ3332886

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Publication date: 1984

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660050103

zbMATH Keywords

order reductionclosed-loop optimal controlmatrix Riccati difference equationfinal correction seriesouter series

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Additive difference equations (39A10) Singular perturbations for ordinary differential equations (34E15) Model systems in control theory (93C99)

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Near-optimal state feedback design for singularly perturbed systems by unified approach ⋮ Near-optimal observer-based control of discrete two-time-scale systems ⋮ Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems ⋮ On the composite and reduced observer-based control of discrete two-time-scale systems ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Perturbation method for linear difference equations with small parameters ⋮ Multi-rate regulator design of two-time-scale systems via digital redesign method ⋮ Composite control of a class of nonlinear singularly perturbed discrete-time systems via D-SDRE ⋮ Unnamed Item

Cites Work

• Multitime Methods for Systems of Difference Equations
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