Linear quadratic regulators with eigenvalue placement in a specified region

DOI10.1016/0005-1098(88)90058-1zbMath0659.93027OpenAlexW1971022781MaRDI QIDQ1112773

Sekar Ganesan, Hani M. Dib, Leang San Shieh

Publication date: 1988

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(88)90058-1

zbMATH Keywords

linear matrix Lyapunov equationlinear optimal quadratic regulatormultivariable continuous-time systemsoptimal pole placementshifted sector method

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

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Optimal controller synthesis with \({\mathcal D}\) stability ⋮ Eigenstructure assignment in robot tracking applications ⋮ Realization, design and implementation of row-pseudoproper left matrix fraction description with impulsive modes ⋮ Digital controller design for analog systems represented by multiple input-output time-delay transfer function matrices with long time delays ⋮ Lifted digital redesign of observer-based tracker for a sampled-data system ⋮ Hybrid suboptimal control of multi-rate multi-loop sampled-data systems ⋮ Robust optimal pole-placement in a vertical strip and disturbance rejection ⋮ Two-stage suboptimal discrete-time regulators for continuous-time stiff dynamic systems ⋮ Optimal regional pole placement for sun tracking control of high-concentration photovoltaic (HCPV) systems: case study

Cites Work

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• Algebra-geometric approach for the model reduction of large-scale multivariable systems
• A design method for linear state feedback systems possessing integrity based on a solution of a Riccati-type equation
• Linear quadratic regulators with eigenvalue placement in a vertical strip
• Separation of matrix eigenvalues and structural decomposition of large-scale systems
• Optimal pole shifting for continuous multivariable linear systems
• Design of optimal control systems with prescribed eigenvalues†

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