Optimal multivariable LQG control using a single diophantine equation

DOI10.1080/00207178708933981zbMath0635.93021OpenAlexW2108230148MaRDI QIDQ3775398

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933981

zbMATH Keywords

polynomial equationscompensationselftuning controlLQG optimal control problem

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Linear systems in control theory (93C05) Optimal stochastic control (93E20) Algebraic methods (93B25)

Related Items (11)

A simple method for solving the LQG stochastic control problem using a polynomial approach ⋮ Extension of linear quadratic optimal control theory for mixed backgrounds ⋮ Coupled polynomial equations for LQ control synthesis and an algorithm for solution ⋮ LQG predictive optimal control for adaptive applications ⋮ Polynomial optimization of stochastic discrete-time control for unstable plants ⋮ On the polynomial equations for the continuous-time LQ optimization problem ⋮ LQG regulation with disturbance measurement feedforward ⋮ Continuous-time LQ regulator design by polynomial equations ⋮ Unnamed Item ⋮ Diophantine equations in control. -- A survey ⋮ Implied polynomial matrix equations in multivariable stochastic optimal control

Cites Work

• Implicit and explicit LQG self-tuning controllers
• Simpler polynomial solutions in stochastic feedback control

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