Mixed LQG and <i>H</i><sub>∞</sub> coherent feedback control for linear quantum systems

Cui, Lei; Dong, Zhiyuan; Lee, Heung Wing Joseph

doi:10.1080/00207179.2016.1260162

Cited by 5 publications

References 29 publications

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A multiobjective optimization approach for linear quadratic Gaussian/loop transfer recovery design

Kumar

Dhillon

2020

Optim Control Appl Methods

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SummaryThis article bestows the linear quadratic Gaussian (LQG)/Loop Transfer Recovery (LTR) optimal controller design for a perturbed linear system having insufficient information about systems states through a multiobjective optimization approach. A Kalman filter observer is required to estimate the unknown states at the output from the noisy data. However, the main downside of the LQG controller's is that its robustness cannot be guaranteed because it consists of linear quadratic regulator (LQR) and Kalman observer, and due to observer incorporation within the LQR framework results in loss of robustness which is undesirable. Therefore, it is necessary to recover the robustness by tuning the controller which further plays havoc with system performance and control effort for certain plants. The present work addresses the investigation of the trade‐off between multiobjective indexes (formulated on the basis of robustness, optimal control, and performances) through three multiobjective optimization algorithms as NSGA‐II, multiobjective simulated annealing and multiobjective particle swarm optimization. The tuned parameters meet the competitive multiobjective performance indexes that are verified through simulation results. The Pareto front with multiple solutions helps to design a robust controller depending on the weightage given to the respective performance indexes. Simulation results reveal that the proposed multiobjective control strategy helps in recovering the characteristics of LQG/LTR.

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A multiobjective optimization approach for linear quadratic Gaussian/loop transfer recovery design

Kumar

Dhillon

2020

Optim Control Appl Methods

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Introduction to Quantum Mechanics and Quantum Control

Dong

Petersen²

2023

Communications and Control Engineering

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Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model

et al. 2019

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Using the example of the Jaynes-Cummings model, we present a comparison between timedelayed coherent feedback mediated by reservoirs with continuous and discrete mode structures and work out their qualitative differences. In contrast to the discrete-mode case, the continuous-mode case results in the well-known single-delay dynamics which can, e.g., stabilize Rabi oscillations. The discrete-mode case, however, shows population trapping, not present in the continuous-mode model. Given these differences, we discuss the cavity output spectra and show how these characteristic properties are spectrally identifiable. This work demonstrates the fundamental difference between the continuous-mode case, which represents a truly dissipative mechanism, and the discrete-mode case that is in principle based on a coherent excitation exchange process.PACS numbers: May be entered using the \pacs{#1} command. * nnem614@aucklanduni.ac.nz

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Mixed LQG and H_∞ coherent feedback control for linear quantum systems

Cited by 5 publications

References 29 publications

A multiobjective optimization approach for linear quadratic Gaussian/loop transfer recovery design

A multiobjective optimization approach for linear quadratic Gaussian/loop transfer recovery design

Introduction to Quantum Mechanics and Quantum Control

Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model

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Mixed LQG and H∞ coherent feedback control for linear quantum systems

Cited by 5 publications

References 29 publications

A multiobjective optimization approach for linear quadratic Gaussian/loop transfer recovery design

A multiobjective optimization approach for linear quadratic Gaussian/loop transfer recovery design

Introduction to Quantum Mechanics and Quantum Control

Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model

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Mixed LQG and H_∞ coherent feedback control for linear quantum systems