New solution to the inverse regulator problem by the polynomial matrix method

DOI10.1080/00207178708933838zbMath0622.93025OpenAlexW2046011499MaRDI QIDQ3760371

Yutaka Yamamoto, Kenji Sugimoto

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933838

zbMATH Keywords

inverse problempolynomial matricesstable feedback controlcontinuous-time multivariable systemslinear quadratic (\({\mathcal L}{\mathcal Q})\) optimal control

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Algebraic methods (93B25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (6)

Generalized robustness of optimally of linear quadratic regulators ⋮ On successive pole assignment by linear-quadratic optimal feedbacks ⋮ Continuous-time inverse quadratic optimal control problem ⋮ Solution to the inverse regulator problem for discrete-time systems ⋮ A revisit to inverse optimality of linear systems ⋮ Cross standard form: a solution to improve a given controller with H ₂ or H _∞ specifications

Cites Work

• Unnamed Item
• Linear multivariable systems
• On nonnegative definite solutions to matrix quadratic equations
• Algebraic properties of minimal degree spectral factors
• On polynomial matrix spectral factorization by symmetric extraction
• A Complete Optimality Condition in the Inverse Problem of Optimal Control
• The stable regulator problem and its inverse

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