The stabilization and H∞ control of nonlinear differential algebraic systems （NDAS） are investigated using the Hamiltonian function method. Firstly, we put forward a novel dissipative Hamiltonian realization （DHR...The stabilization and H∞ control of nonlinear differential algebraic systems （NDAS） are investigated using the Hamiltonian function method. Firstly, we put forward a novel dissipative Hamiltonian realization （DHR） structure and give the condition to complete the Hamiltonian realization. Then, based on the DHR, we present a criterion for the stability analysis of NDAS and construct a stabilization controller for NDAS in absence of disturbances. Finally, for NDAS in presence of disturbances, the L2 gain is analyzed via generalized Hamilton-Jacobi inequality and an H∞ control strategy is constructed. The proposed stabilization and robust controller can effectively take advantage of the structural characteristics of NDAS and is simple in form.展开更多
This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1,1)dynamical symmetry through the isomorphic mapping to the non-un...This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1,1)dynamical symmetry through the isomorphic mapping to the non-unitary representation of SU(1,1).The authors prove that the elliptic condition of the total Hamiltonian is both necessary and sufficient for the controllability and strong controllability.The obtained results can be also extended to control systems with SO(2,1)dynamical symmetry.展开更多
The past decade or two has witnessed tremendous progress in theory and practice of quantum control technologies.Bridging different scientific disciplines ranging from fundamental particle physics to nanotechnology,the...The past decade or two has witnessed tremendous progress in theory and practice of quantum control technologies.Bridging different scientific disciplines ranging from fundamental particle physics to nanotechnology,the goal of quantum control has been to develop effective and efficient tools for common analysis and design,but more importantly would pave the way for future technological applications.This article briefly reviews basic quantum control theory from the perspective of modeling,analysis and design,as well as considers future research directions.展开更多
基金the National Natural Science Foundation of China （Grant Nos. 69774011 and 60433050）.
文摘The stabilization and H∞ control of nonlinear differential algebraic systems （NDAS） are investigated using the Hamiltonian function method. Firstly, we put forward a novel dissipative Hamiltonian realization （DHR） structure and give the condition to complete the Hamiltonian realization. Then, based on the DHR, we present a criterion for the stability analysis of NDAS and construct a stabilization controller for NDAS in absence of disturbances. Finally, for NDAS in presence of disturbances, the L2 gain is analyzed via generalized Hamilton-Jacobi inequality and an H∞ control strategy is constructed. The proposed stabilization and robust controller can effectively take advantage of the structural characteristics of NDAS and is simple in form.
基金supported by the National Natural Science Foundation of China under Grant Nos.61803357,61833010,61773232,61622306 and 11674194the National Key R&D Program of China under Grant Nos.2018YFA0306703 and 2017YFA0304304+1 种基金the Tsinghua University Initiative Scientific Research Programthe Tsinghua National Laboratory for Information Science and Technology Cross-discipline Foundation。
文摘This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1,1)dynamical symmetry through the isomorphic mapping to the non-unitary representation of SU(1,1).The authors prove that the elliptic condition of the total Hamiltonian is both necessary and sufficient for the controllability and strong controllability.The obtained results can be also extended to control systems with SO(2,1)dynamical symmetry.
基金supported by the National Natural Science Foundation of China(60904034,61174084and61134008)Tsinghua National Laboratory for Information Science and Technology(TNList)Cross-discipline Foundation
文摘The past decade or two has witnessed tremendous progress in theory and practice of quantum control technologies.Bridging different scientific disciplines ranging from fundamental particle physics to nanotechnology,the goal of quantum control has been to develop effective and efficient tools for common analysis and design,but more importantly would pave the way for future technological applications.This article briefly reviews basic quantum control theory from the perspective of modeling,analysis and design,as well as considers future research directions.
