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We augment existing generator-side primary frequency control with load-side control that are local, ubiquitous, and continuous. The mechanisms on both the generator and the load sides are decentralized in that their control decisions are…

Systems and Control · Computer Science 2014-03-25 Changhong Zhao , Steven Low

This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear…

Optimization and Control · Mathematics 2024-11-20 Anusree Rajan , Kushagra Parmeshwar , Pavankumar Tallapragada

Electric propulsion is used to maximize payload capacity in communication satellites. These orbit raising maneuvers span several months and hundreds of revolutions, making trajectory design a complex challenge. The literature typically…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Suraj Kumar , Aditya Rallapalli , Nivriti Priyadarshini , Bharat Kumar GVP , Ravi Kumar L

An overview and synthesis of results and criteria for open-loop controllability of Hamiltonian quantum systems obtained using Lie group and Lie algebra techniques is presented. Negative results for open-loop controllability of dissipative…

Quantum Physics · Physics 2007-05-23 S. G. Schirmer , I. C. H. Pullen , A. I. Solomon

For a right-invariant and controllable driftless system on SU(n), we consider a time-periodic reference trajectory along which the linearized control system generates su(n): such trajectories always exist and constitute the basic ingredient…

Optimization and Control · Mathematics 2016-11-18 H. B. Silveira , P. S. Pereira da Silva , P. Rouchon

Quantum state engineering is a central task in Lyapunov-based quantum control. Given different initial states, better performance may be achieved if the control parameters, such as the Lyapunov function, are individually optimized for each…

Optimization and Control · Mathematics 2018-08-09 S. C. Hou , X. X. Yi

Feedback control protocols can stabilize and enhance the operation of quantum devices, however, unavoidable delays in the feedback loop adversely affect their performance. We introduce a quantum control methodology, combining open-loop…

Quantum Physics · Physics 2010-03-25 Joshua Combes , Howard M. Wiseman , A. J. Scott

The theory of controlled quantum open systems describes quantum systems interacting with quantum environments and influenced by external forces varying according to given algorithms. It is aimed, for instance, to model quantum devices which…

Quantum Physics · Physics 2022-09-21 Robert Alicki

Different ways of modelling quantum control systems, formulating control problems and solving the resulting problems are considered and compared. In particular, we compare the performance of geometric and optimal control, as well as…

Quantum Physics · Physics 2008-01-08 Sonia G Schirmer , Peter J Pemberton-Ross , Xiaoting Wang

The orbit tracking of free-evolutionary target system in closed quantum systems is studied in this paper. Based on the concept of system control theory, the unitary transformation is applied to change the time-dependent target function into…

Mathematical Physics · Physics 2018-08-10 Shuang Cong , Jianxiu Liu , Fei Yang

In this work, we introduce a novel data-driven model-reference control design approach for unknown linear systems with fully measurable state. The proposed control action is composed by a static feedback term and a reference tracking block,…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Valentina Breschi , Claudio De Persis , Simone Formentin , Pietro Tesi

We present an open-loop (bang-bang) scheme which drives an open two-level quantum system to any target state, while maintaining quantum coherence throughout the process. The control is illustrated by a realistic simulation for both…

Quantum Physics · Physics 2009-11-10 C. D'Helon , V. Protopopescu , R. Perez

We present a prescriptive framework for the event-triggered control of nonlinear systems. Rather than closing the loop periodically, as traditionally done in digital control, in event-triggered implementations the loop is closed according…

Optimization and Control · Mathematics 2011-08-30 Romain Postoyan , Adolfo Anta , Dragan Nesic , Paulo Tabuada

In this work, we introduce a novel gradient descent-based approach for optimizing control systems, leveraging a new representation of stable closed-loop dynamics as a function of two matrices i.e. the step size or direction matrix and value…

Optimization and Control · Mathematics 2024-09-18 Ramin Esmzad , Hamidreza Modares

The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed from a control theoretic perspective. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The…

Quantum Physics · Physics 2018-08-30 Claudio Altafini

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult control tasks. These existing formulations do not address the gap…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Andrew J. Taylor , Victor D. Dorobantu , Yisong Yue , Paulo Tabuada , Aaron D. Ames

Unitary control and decoherence appear to be irreconcilable in quantum mechanics. When a quantum system interacts with an environment, control strategies usually fail due to decoherence. In this letter, we propose a time-optimal unitary…

Quantum Physics · Physics 2013-02-20 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

We present a detailed analysis of the convergence properties of Lyapunov control for finite-dimensional quantum systems based on the application of the LaSalle invariance principle and stability analysis from dynamical systems and control…

Quantum Physics · Physics 2012-02-14 Xiaoting Wang , Sonia G. Schirmer

In this paper, we propose a Lyapunov-based reinforcement learning method for distributed control of nonlinear systems comprising interacting subsystems with guaranteed closed-loop stability. Specifically, we conduct a detailed stability…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Jingshi Yao , Minghao Han , Xunyuan Yin

Control of quantum systems is a central element of high-precision experiments and the development of quantum technological applications. Control pulses that are typically temporally or spatially modulated are often designed based on…

Quantum Physics · Physics 2021-01-04 Frederic Sauvage , Florian Mintert