A quasi-separation principle and Newton-like scheme for coherent quantum LQG control

DOI10.1016/j.sysconle.2013.03.004zbMath1277.49045arXiv1010.3125OpenAlexW2964066736MaRDI QIDQ386236

Ian R. Petersen, Igor G. Vladimirov

Publication date: 9 December 2013

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

Full work available at URL: https://arxiv.org/abs/1010.3125

zbMATH Keywords

optimal controllerLQG costquantum controlcoupling operatorsFréchet differentiationlinear quantum plantsNewton-like iterative schemeopen quantum harmonic oscillatorphysical realizabilityquasi-separation principle

Mathematics Subject Classification ID

Newton-type methods (49M15) Linear-quadratic optimal control problems (49N10) Quantum control (81Q93)

Related Items (8)

A phase-space formulation and Gaussian approximation of the filtering equations for nonlinear quantum stochastic systems ⋮ Quantum linear coherent controller synthesis: a linear fractional representation approach ⋮ A numerical approach to optimal coherent quantum LQG controller design using gradient descent ⋮ Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action ⋮ Decoherence quantification through commutation relations decay for open quantum harmonic oscillators ⋮ Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems ⋮ Design of coherent quantum observers for linear quantum systems ⋮ Effects of Parametric Uncertainties in Cascaded Open Quantum Harmonic Oscillators and Robust Generation of Gaussian Invariant States

Cites Work

• Coherent quantum LQG control
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• $H^{\infty}$ Control of Linear Quantum Stochastic Systems
• Transfer function approach to quantum control- part II: control concepts and applications
• Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems
• A Frequency Domain Condition for the Physical Realizability of Linear Quantum Systems
• Functions of Matrices
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
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