The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which...The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality（LMI）. Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods.展开更多
In many engineering networks, only a part of target state variables are required to be estimated.On the other hand,multi-layer complex network exists widely in practical situations.In this paper, the state estimation ...In many engineering networks, only a part of target state variables are required to be estimated.On the other hand,multi-layer complex network exists widely in practical situations.In this paper, the state estimation of target state variables in multi-layer complex dynamical networks with nonlinear node dynamics is studied.A suitable functional state observer is constructed with the limited measurement.The parameters of the designed functional observer are obtained from the algebraic method and the stability of the functional observer is proven by the Lyapunov theorem.Some necessary conditions that need to be satisfied for the design of the functional state observer are obtained.Different from previous studies, in the multi-layer complex dynamical network with nonlinear node dynamics, the proposed method can estimate the state of target variables on some layers directly instead of estimating all the individual states.Thus, it can greatly reduce the placement of observers and computational cost.Numerical simulations with the three-layer complex dynamical network composed of three-dimensional nonlinear dynamical nodes are developed to verify the effectiveness of the method.展开更多
Reduced-order multi-functional observer design for multi-input multi-output linear timeinvariant(LTI)systems with constant delayed-inputs is studied.This research is useful in the input estimation of LTI systems with ...Reduced-order multi-functional observer design for multi-input multi-output linear timeinvariant(LTI)systems with constant delayed-inputs is studied.This research is useful in the input estimation of LTI systems with actuator delay,as well as system monitoring and fault detection of these systems.Two approaches for designing an asymptotically stable functional observer for the system are proposed:delay-dependent and delay-free.The delay-dependent observer is infinite-dimensional,while the delay-free structure is finite-dimensional.Moreover,since the delay-free observer does not require any information on the time delay,it is more practical in real applications.However,the delay-dependent observer contains less restrictive assumptions and covers more variety of systems.The proposed observer design schemes are novel,simple to implement,and have improved numerical features compared to some of the other available approaches to design(unknown-input)functional observers.In addition,the proposed observers usually possess lower order than ordinary Luenberger observers,and the design schemes do not need the observability or detectability requirements of the system.The necessary and sufficient conditions of the existence of an asymptotic observer in each scenario are explored.The extensions of the proposed observers to systemswith multiple delayed-inputs are also discussed.Several numerical examples and simulation results are employed to support our theories.展开更多
The design of functional observer for a class of discrete systems with time-delay is concerned. The solution to Sylvester function is given. An improved method for the functional observer design is proposed by the con...The design of functional observer for a class of discrete systems with time-delay is concerned. The solution to Sylvester function is given. An improved method for the functional observer design is proposed by the condition of linear matrix inequality. In the end,an example is given to illustrate the feasibility of the method.展开更多
The non-cascade permanent magnet synchronous motor control system has the advantages of simple structure and less adjustable parameters,but the non-cascade structure needs to solve the problem of over-current protecti...The non-cascade permanent magnet synchronous motor control system has the advantages of simple structure and less adjustable parameters,but the non-cascade structure needs to solve the problem of over-current protection.In this paper,a current constrained control method is used to limit the starting current to a safe range.At the same time,to ensure the robustness and rapidity of the system,a super twist current constraint controller(CCSTA)is generated by combining super twist algorithm(STA)with current constraint control;Considering the diversity of internal and external disturbances,a functional disturbance observer(FDOB)is proposed to compensate the matched and unmatched disturbances,which further improves the robustness of the system.展开更多
The stabilization problem via the linear output feedback controller is addressed for a class of nonlinear systems subject to time-delay.The uncertainty of the system satisfies the lower-triangular growth condition and...The stabilization problem via the linear output feedback controller is addressed for a class of nonlinear systems subject to time-delay.The uncertainty of the system satisfies the lower-triangular growth condition and it is affected by time-delay. A linear output feedback controller with a tunable scaling gain is constructed.By selecting an appropriate Lyapunov-Krasovskii functional the scaling gain can be adjusted to render the closed-loop system globally asymptotically stable.The results can also be extended to the non-triangular nonlinear time-delay systems. The proposed control law together with the observer is linear and memoryless in nature and therefore it is easy to implement in practice. Two computer simulations are conducted to illustrate the effectiveness of the proposed theoretical results.展开更多
基金the National Natural Science Foundation of China (No. 50477042)the Ph.D. Programs Foundation of Ministry of Education of China (No. 20040422052 )the National Natural Science Foundation of Shandong Province (No.Z2004G04)
文摘The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality（LMI）. Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods.
基金Project supported by the National Natural Science Foundation of China (Grant Nos.62373197 and 61873326)。
文摘In many engineering networks, only a part of target state variables are required to be estimated.On the other hand,multi-layer complex network exists widely in practical situations.In this paper, the state estimation of target state variables in multi-layer complex dynamical networks with nonlinear node dynamics is studied.A suitable functional state observer is constructed with the limited measurement.The parameters of the designed functional observer are obtained from the algebraic method and the stability of the functional observer is proven by the Lyapunov theorem.Some necessary conditions that need to be satisfied for the design of the functional state observer are obtained.Different from previous studies, in the multi-layer complex dynamical network with nonlinear node dynamics, the proposed method can estimate the state of target variables on some layers directly instead of estimating all the individual states.Thus, it can greatly reduce the placement of observers and computational cost.Numerical simulations with the three-layer complex dynamical network composed of three-dimensional nonlinear dynamical nodes are developed to verify the effectiveness of the method.
文摘Reduced-order multi-functional observer design for multi-input multi-output linear timeinvariant(LTI)systems with constant delayed-inputs is studied.This research is useful in the input estimation of LTI systems with actuator delay,as well as system monitoring and fault detection of these systems.Two approaches for designing an asymptotically stable functional observer for the system are proposed:delay-dependent and delay-free.The delay-dependent observer is infinite-dimensional,while the delay-free structure is finite-dimensional.Moreover,since the delay-free observer does not require any information on the time delay,it is more practical in real applications.However,the delay-dependent observer contains less restrictive assumptions and covers more variety of systems.The proposed observer design schemes are novel,simple to implement,and have improved numerical features compared to some of the other available approaches to design(unknown-input)functional observers.In addition,the proposed observers usually possess lower order than ordinary Luenberger observers,and the design schemes do not need the observability or detectability requirements of the system.The necessary and sufficient conditions of the existence of an asymptotic observer in each scenario are explored.The extensions of the proposed observers to systemswith multiple delayed-inputs are also discussed.Several numerical examples and simulation results are employed to support our theories.
基金supported by the National Natural Science Foundation of China (60674020)Natural Science Foundation of Shandong Province (Z2006G11)
文摘The design of functional observer for a class of discrete systems with time-delay is concerned. The solution to Sylvester function is given. An improved method for the functional observer design is proposed by the condition of linear matrix inequality. In the end,an example is given to illustrate the feasibility of the method.
基金This work was supported by the National Natural Science Foundation of China under Grant 61863023.
文摘The non-cascade permanent magnet synchronous motor control system has the advantages of simple structure and less adjustable parameters,but the non-cascade structure needs to solve the problem of over-current protection.In this paper,a current constrained control method is used to limit the starting current to a safe range.At the same time,to ensure the robustness and rapidity of the system,a super twist current constraint controller(CCSTA)is generated by combining super twist algorithm(STA)with current constraint control;Considering the diversity of internal and external disturbances,a functional disturbance observer(FDOB)is proposed to compensate the matched and unmatched disturbances,which further improves the robustness of the system.
基金The National Natural Science Foundation of China(No.61273119,61174076,61004046,61374038)the Natural Science Foundation of Jiangsu Province(No.BK2011253)the Research Fund for the Doctoral Program of Higher Education of China(No.20110092110021)
文摘The stabilization problem via the linear output feedback controller is addressed for a class of nonlinear systems subject to time-delay.The uncertainty of the system satisfies the lower-triangular growth condition and it is affected by time-delay. A linear output feedback controller with a tunable scaling gain is constructed.By selecting an appropriate Lyapunov-Krasovskii functional the scaling gain can be adjusted to render the closed-loop system globally asymptotically stable.The results can also be extended to the non-triangular nonlinear time-delay systems. The proposed control law together with the observer is linear and memoryless in nature and therefore it is easy to implement in practice. Two computer simulations are conducted to illustrate the effectiveness of the proposed theoretical results.
基金Supported by the Funds of Heilongjiang Education Committee for Overseas Scholars(1152HZ01)the Fund of Heilongjiang Education Committee(11541264)the Fund of Heilongjiang University Academic Scientific and Technological Innovation of Students
