On the dynamics of two photons interacting with a two-qubit coherent feedback network

Pan, Yu

doi:10.1016/j.automatica.2020.108978

Cited by 15 publications

(6 citation statements)

References 58 publications

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“…The proposed control strategies own the following advantages: accomplishing the capture process quickly within a finite time or a predefined duration, avoiding the collision between the SPMs, model‐free and strong robustness against the model uncertainties and external disturbances, saving the valuable communication source onboard without any Zeno behavior. Inspired by some elegant works [50–54], one of our future research topics will be designing an autonomous control strategy with quasi‐linear system theory and reinforcement learning method for the IFDFS formation control.…”

Section: Discussionmentioning

confidence: 99%

“…Theorem 2. Consider the position dynamics ( 5) under Assumption 1-3, design the ET-ATPP capturing control strategy ( 59) and (29) with collision avoidance term (25), if 𝜅 ρ0 > max i, j (|𝜌 i, j (0)|), 𝜅 𝜂 0 > max i, j (|𝜂 i, j (0)|), and 𝜄 3 > 𝓁 Ξ ρ , where 𝓁 Ξ ρ ∶= max i (Ξ 𝜌,i ), the performance constraints (49) and (50) for ρi (t ) and 𝜂 i (t ) can always be guaranteed for t ≥ 0. More specifically, ρi, j (t ), 𝜂 i, j (t ) and ̇ρ i, j (t ) ( j = 1, 2, 3) will converge to the stability regions 𝕌 ρ,i j , 𝕌 𝜂,i j , and 𝕌 ̇ρ,i j before the predefined duration T c .…”

Section: The Et-atpp Capturing Controller Designmentioning

confidence: 99%

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Event‐triggered prescribed performance robust collision‐free capturing control for drag‐free spacecraft system

Wang

Liu

Qiu

et al. 2022

IET Control Theory & Appl

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This paper addresses the capturing control problem of a plug-and-play modularized dragfree spacecraft system, including two spherical proof masses, where the performance constraints, collision risk, uncertain model parameters, unknown external disturbances, and limited communication are considered simultaneously. First, a nonlinear relative dynamics of spherical proof masses with respect to spacecraft is formulated for the capture process. Second, two different prescribed performance event-triggered robust collision-free capturing control strategies are developed to capture the free-floating proof masses successfully. Suppose only the performance metrics on the relative position are considered, and an event-triggered adaptive terminal sliding mode capturing controller is implemented to achieve the capture process within a finite time. Suppose more performance constraints, such as the user predefined capture duration and the performance bounds on both the relative position and the relative velocity, are taken into account, and an event-triggered appointed-time prescribed performance capturing controller is proposed to solve the above issues. In particular, an artificial potential function is utilized to avoid the collision, and a relative threshold event-triggered rule is employed to save the communication source between the controller and the actuator without any Zeno behaviour. The simulation results demonstrate the efficacy and superiority of the proposed method.

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Section: Discussionmentioning

confidence: 99%

Section: The Et-atpp Capturing Controller Designmentioning

confidence: 99%

Event‐triggered prescribed performance robust collision‐free capturing control for drag‐free spacecraft system

Wang

Liu

Qiu

et al. 2022

IET Control Theory & Appl

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“…For example, robust stability and performance analysis of several classes of uncertain quantum systems have been investigated using the small gain theorem and the Popov approach based on the (S, L, H) framework [51], [81], [122], [80]. Quantum coherent feedback has also been used to control a single qubit in diamond [42], cool a quantum oscillator [40] and analyze quantum networks [133]. The performance of measurementbased feedback control and coherent feedback control has also been compared for different scenarios [48].…”

Section: Quantum Feedback Controlmentioning

confidence: 99%

Quantum estimation, control and learning: opportunities and challenges

Dong¹,

Petersen²

2022

Preprint

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The development of estimation and control theories for quantum systems is a fundamental task for practical quantum technology. This vision article presents a brief introduction to challenging problems and potential opportunities in the emerging areas of quantum estimation, control and learning. The topics cover quantum state estimation, quantum parameter identification, quantum filtering, quantum open-loop control, quantum feedback control, machine learning for estimation and control of quantum systems, and quantum machine learning.

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“…An application to the amplification of optical Schrödinger cat states can be found in [166]. Simply speakin, the mathematial methods proposed in [160,161] can be used to study photon-catalyzed quabtunm non-Gaussian states, which are useful resources in quantun information processing [167,168,169] The problem of the response of quantum nonlinear systems to multi-photon states has been studied in [170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,76,195]. It turns out that the linear systems theory plays a key role in some of these studies.…”

Section: Response Of Quantum Linear Systems To Continuous-mode Multi-...mentioning

confidence: 99%

Linear quantum systems: a tutorial

Zhou¹

2022

Preprint

Self Cite

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The purpose of this tutorial is to give a brief introduction to linear quantum control systems. The mathematical model of linear quantum control systems is presented first, then some fundamental control-theoretic notions such as stability, controllability and observability are given, which are closely related to several important concepts in quantum information science such as decoherence-free subsystems, quantum nondemolition variables, and back-action evasion measurements. After that, quantum Gaussian states are introduced, in particular, an information-theoretic uncertainty relation is presented which often gives a better bound for mixed Gaussian states than the well-known Heisenberg uncertainty relation. The quantum Kalman filter is presented for quantum linear systems, which is the quantum analogy of the Kalman filter for classical (namely, non-quantum-mechanical) linear systems. The quantum Kalman canonical decomposition for quantum linear systems is recorded, and its application is illustrated by means of a recent experiment. As single-and multi-photon states are useful resources in quantum information technology, the response of quantum linear systems to these types of input is presented. Finally, coherent feedback control of quantum linear systems is briefly introduced, and a recent experiment is used to demonstrate the effectiveness of quantum linear systems and networks theory.

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On the dynamics of two photons interacting with a two-qubit coherent feedback network

Cited by 15 publications

References 58 publications

Event‐triggered prescribed performance robust collision‐free capturing control for drag‐free spacecraft system

Event‐triggered prescribed performance robust collision‐free capturing control for drag‐free spacecraft system

Quantum estimation, control and learning: opportunities and challenges

Linear quantum systems: a tutorial

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