Relationship between polynomial and state-space solutions of the optimal regulator problem

DOI10.1016/0167-6911(87)90079-XzbMath0633.93037OpenAlexW2081754106MaRDI QIDQ1096571

M. J. Grimble

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90079-x

zbMATH Keywords

LQG problemmultivariable discrete-time problems

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Diophantine equations (11D99)

Related Items (2)

Polynomial matrix solution of H₂ optimal control problem for state‐space systems ⋮ Continuous-time LQ regulator design by polynomial equations

Cites Work

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• LQG multivariable controllers : minimum variance interpretation for use in self-tuning systems
• Multivariate controllers for LQG self-tuning applications with coloured measurement noise and dynamic cost weighting
• Stochastic multivariable control: A polynomial equation approach
• Polynomial approach to quadratic tracking in discrete linear systems

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