The Experts below are selected from a list of 15237 Experts worldwide ranked by ideXlab platform
Guangren Duan - One of the best experts on this subject based on the ideXlab platform.
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a parametric periodic Lyapunov Equation with application in semi global stabilization of discrete time periodic systems subject to actuator saturation
Automatica, 2011Co-Authors: Bin Zhou, Guangren Duan, Zongli LinAbstract:This paper is concerned with semi-global stabilization of discrete-time linear periodic systems subject to actuator saturation. Provided that the open loop characteristic multipliers are within the closed unit circle, a low gain feedback design approach is proposed to solve the problem by state feedback. Our approach is based on the solution to a parametric discrete-time periodic Lyapunov Equation. The proposed approaches not only generalize the corresponding results for time-invariant systems to periodic systems, but also reveal some important intrinsic properties of this class of periodic matrix Equations. A numerical example is worked out to illustrate the effectiveness of the proposed approaches.
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stabilization of linear systems with input delay and saturation a parametric Lyapunov Equation approach
International Journal of Robust and Nonlinear Control, 2010Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This paper studies the problem of stabilizing a linear system with delayed and saturating feedback. It is known that the eigenstructure assignment-based low-gain feedback law (globally) stabilizes a linear system in the presence of arbitrarily large delay in its input, and semi-globally stabilizes it when the input is also subject to saturation, as long as all its open-loop poles are located in the closed left-half plane. Based on a recently developed parametric Lyapunov Equation-based low-gain feedback design method, this paper presents alternative, but simpler and more elegant, feedback laws that solve these problems. The advantages of this new approach include its simplicity, the capability of giving explicit conditions to guarantee the stability of the closed-loop system, and the ease in scheduling the low-gain parameter on line to achieve global stabilization in the presence of actuator saturation. Copyright © 2009 John Wiley & Sons, Ltd.
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properties of the parametric Lyapunov Equation based low gain design with applications in stabilization of time delay systems
IEEE Transactions on Automatic Control, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This technical note studies some properties of the recently developed parametric Lyapunov Equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.
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properties of the parametric Lyapunov Equation based low gain design with applications in stabilization of time delay systems
American Control Conference, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This paper studies some properties of the recently developed parametric Lyapunov Equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.
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brief paper a parametric Lyapunov Equation approach to low gain feedback design for discrete time systems
Automatica, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:Low gain feedback, a parameterized family of stabilizing state feedback gains whose magnitudes approach zero as the parameter decreases to zero, has found several applications in constrained control systems, robust control and nonlinear control. In the continuous-time setting, there are currently three ways of constructing low gain feedback laws: the eigenstructure assignment approach, the parametric ARE based approach and the parametric Lyapunov Equation based approach. The eigenstructure assignment approach leads to feedback gains explicitly parameterized in the low gain parameter. The parametric ARE based approach results in a Lyapunov function along with the feedback gain, but requires the solution of an ARE for each value of the parameter. The parametric Lyapunov Equation based approach possesses the advantages of the first two approaches and results in both an explicitly parameterized feedback gains and a Lyapunov function. The first two approaches have been extended to discrete-time setting. This paper develops the parametric Lyapunov Equation based approach to low gain feedback design for discrete-time systems.
Bin Zhou - One of the best experts on this subject based on the ideXlab platform.
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a parametric periodic Lyapunov Equation with application in semi global stabilization of discrete time periodic systems subject to actuator saturation
Automatica, 2011Co-Authors: Bin Zhou, Guangren Duan, Zongli LinAbstract:This paper is concerned with semi-global stabilization of discrete-time linear periodic systems subject to actuator saturation. Provided that the open loop characteristic multipliers are within the closed unit circle, a low gain feedback design approach is proposed to solve the problem by state feedback. Our approach is based on the solution to a parametric discrete-time periodic Lyapunov Equation. The proposed approaches not only generalize the corresponding results for time-invariant systems to periodic systems, but also reveal some important intrinsic properties of this class of periodic matrix Equations. A numerical example is worked out to illustrate the effectiveness of the proposed approaches.
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stabilization of linear systems with input delay and saturation a parametric Lyapunov Equation approach
International Journal of Robust and Nonlinear Control, 2010Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This paper studies the problem of stabilizing a linear system with delayed and saturating feedback. It is known that the eigenstructure assignment-based low-gain feedback law (globally) stabilizes a linear system in the presence of arbitrarily large delay in its input, and semi-globally stabilizes it when the input is also subject to saturation, as long as all its open-loop poles are located in the closed left-half plane. Based on a recently developed parametric Lyapunov Equation-based low-gain feedback design method, this paper presents alternative, but simpler and more elegant, feedback laws that solve these problems. The advantages of this new approach include its simplicity, the capability of giving explicit conditions to guarantee the stability of the closed-loop system, and the ease in scheduling the low-gain parameter on line to achieve global stabilization in the presence of actuator saturation. Copyright © 2009 John Wiley & Sons, Ltd.
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properties of the parametric Lyapunov Equation based low gain design with applications in stabilization of time delay systems
IEEE Transactions on Automatic Control, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This technical note studies some properties of the recently developed parametric Lyapunov Equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.
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properties of the parametric Lyapunov Equation based low gain design with applications in stabilization of time delay systems
American Control Conference, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This paper studies some properties of the recently developed parametric Lyapunov Equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.
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brief paper a parametric Lyapunov Equation approach to low gain feedback design for discrete time systems
Automatica, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:Low gain feedback, a parameterized family of stabilizing state feedback gains whose magnitudes approach zero as the parameter decreases to zero, has found several applications in constrained control systems, robust control and nonlinear control. In the continuous-time setting, there are currently three ways of constructing low gain feedback laws: the eigenstructure assignment approach, the parametric ARE based approach and the parametric Lyapunov Equation based approach. The eigenstructure assignment approach leads to feedback gains explicitly parameterized in the low gain parameter. The parametric ARE based approach results in a Lyapunov function along with the feedback gain, but requires the solution of an ARE for each value of the parameter. The parametric Lyapunov Equation based approach possesses the advantages of the first two approaches and results in both an explicitly parameterized feedback gains and a Lyapunov function. The first two approaches have been extended to discrete-time setting. This paper develops the parametric Lyapunov Equation based approach to low gain feedback design for discrete-time systems.
Zoran Gajic - One of the best experts on this subject based on the ideXlab platform.
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solving the singularly perturbed matrix differential riccati Equation a Lyapunov Equation approach
Advances in Computing and Communications, 2010Co-Authors: Thang Nguyen, Zoran GajicAbstract:In this paper, we study the finite time (horizon) optimal control problem for singularly perturbed systems. The solution is obtained in terms of the corresponding solution of the algebraic Riccati Equation and the decomposition of the singularly perturbed differential Lyapunov Equation into reduced-order differential Lyapunov/Sylvester Equations. An illustrative numerical example is provided to show the efficiency of the proposed approach.
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finite horizon optimal control of singularly perturbed systems a differential Lyapunov Equation approach
IEEE Transactions on Automatic Control, 2010Co-Authors: Thang Nguyen, Zoran GajicAbstract:In this note, we study the finite time (horizon) optimal control problem for singularly perturbed systems. The solution is obtained in terms of the corresponding solution of the algebraic Riccati Equation and the decomposition of the singularly perturbed differential Lyapunov Equation into reduced-order differential Lyapunov/Sylvester Equations. An illustrative numerical example is provided to show the efficiency of the proposed approach.
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solving the matrix differential riccati Equation a Lyapunov Equation approach
IEEE Transactions on Automatic Control, 2010Co-Authors: Thang Nguyen, Zoran GajicAbstract:In this technical note, we investigate a solution of the matrix differential Riccati Equation that plays an important role in the linear quadratic optimal control problem. Unlike many methods in the literature, the approach that we propose employs the negative definite anti-stabilizing solution of the matrix algebraic Riccati Equation and the solution of the matrix differential Lyapunov Equation. An illustrative numerical example is provided to show the efficiency of our approach.
Zongli Lin - One of the best experts on this subject based on the ideXlab platform.
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a parametric periodic Lyapunov Equation with application in semi global stabilization of discrete time periodic systems subject to actuator saturation
Automatica, 2011Co-Authors: Bin Zhou, Guangren Duan, Zongli LinAbstract:This paper is concerned with semi-global stabilization of discrete-time linear periodic systems subject to actuator saturation. Provided that the open loop characteristic multipliers are within the closed unit circle, a low gain feedback design approach is proposed to solve the problem by state feedback. Our approach is based on the solution to a parametric discrete-time periodic Lyapunov Equation. The proposed approaches not only generalize the corresponding results for time-invariant systems to periodic systems, but also reveal some important intrinsic properties of this class of periodic matrix Equations. A numerical example is worked out to illustrate the effectiveness of the proposed approaches.
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stabilization of linear systems with input delay and saturation a parametric Lyapunov Equation approach
International Journal of Robust and Nonlinear Control, 2010Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This paper studies the problem of stabilizing a linear system with delayed and saturating feedback. It is known that the eigenstructure assignment-based low-gain feedback law (globally) stabilizes a linear system in the presence of arbitrarily large delay in its input, and semi-globally stabilizes it when the input is also subject to saturation, as long as all its open-loop poles are located in the closed left-half plane. Based on a recently developed parametric Lyapunov Equation-based low-gain feedback design method, this paper presents alternative, but simpler and more elegant, feedback laws that solve these problems. The advantages of this new approach include its simplicity, the capability of giving explicit conditions to guarantee the stability of the closed-loop system, and the ease in scheduling the low-gain parameter on line to achieve global stabilization in the presence of actuator saturation. Copyright © 2009 John Wiley & Sons, Ltd.
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properties of the parametric Lyapunov Equation based low gain design with applications in stabilization of time delay systems
IEEE Transactions on Automatic Control, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This technical note studies some properties of the recently developed parametric Lyapunov Equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.
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properties of the parametric Lyapunov Equation based low gain design with applications in stabilization of time delay systems
American Control Conference, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:This paper studies some properties of the recently developed parametric Lyapunov Equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.
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brief paper a parametric Lyapunov Equation approach to low gain feedback design for discrete time systems
Automatica, 2009Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:Low gain feedback, a parameterized family of stabilizing state feedback gains whose magnitudes approach zero as the parameter decreases to zero, has found several applications in constrained control systems, robust control and nonlinear control. In the continuous-time setting, there are currently three ways of constructing low gain feedback laws: the eigenstructure assignment approach, the parametric ARE based approach and the parametric Lyapunov Equation based approach. The eigenstructure assignment approach leads to feedback gains explicitly parameterized in the low gain parameter. The parametric ARE based approach results in a Lyapunov function along with the feedback gain, but requires the solution of an ARE for each value of the parameter. The parametric Lyapunov Equation based approach possesses the advantages of the first two approaches and results in both an explicitly parameterized feedback gains and a Lyapunov function. The first two approaches have been extended to discrete-time setting. This paper develops the parametric Lyapunov Equation based approach to low gain feedback design for discrete-time systems.
Lin Xiao - One of the best experts on this subject based on the ideXlab platform.
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performance benefits of robust nonlinear zeroing neural network for finding accurate solution of Lyapunov Equation in presence of various noises
IEEE Transactions on Industrial Informatics, 2019Co-Authors: Lin Xiao, Yongsheng Zhang, Jianhua DaiAbstract:In the previous work, a finite-time zeroing neural network (ZNN) has been established to find the accurate solution of Lyapunov Equation in the presence of no noises. In order to further improve the convergence speed of ZNN and suppress various noises encountered in real applications, in this paper, two robust nonlinear zeroing neural networks (RNZNNs) are designed by adding two novel nonlinear activation functions (AFs) for finding the solution of the Lyapunov Equation in the presence of various noises. Unlike the previous ZNN activated by known AFs (e.g., linear activation function, bipolar sigmoid activation function, and power activation function), the proposed two RNZNN models possess predefined-time convergence (instead of finite-time convergence) even in the presence of various noises. The greatest advantage of the predefined-time convergence is independent to initial states of a dynamic system, which is much superior to the finite-time convergence related to initial states, and tremendously modifies the convergence performance. In addition, the predefined-time convergence of the RNZNN models for solving the Lyapunov Equation are mathematically proved in detail under various external noises. The simulation comparisons further verify the superiority of the proposed RNZNN models for finding the solution of the Lyapunov Equation.
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wsbp function activated zhang dynamic with finite time convergence applied to Lyapunov Equation
Neurocomputing, 2018Co-Authors: Lin Xiao, Zhiguo Tan, Zhi YangAbstract:Abstract This paper investigates the solution of Lyapunov Equation by neural dynamics. Specially, an improved finite-time Zhang dynamic (IFTZD), which is activated by weighted sign-bi-power (wsbp) function array, is proposed for Lyapunov Equation solving. The proposed IFTZD model makes full use of all the items of the wsbp function, and thus obtains a more less conservative upper bound of the convergence time. Theoretical analysis shows that the IFTZD model has the best finite-time convergence as compared to existing neural dynamics. Moreover, an illustrative example is performed and the resultant results show that, for the proposed IFTZD model, the actual convergence time is less than but very close to the theoretical estimation of the upper bound of the convergence time. This has further demonstrated the theoretical analysis.
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design and analysis of ftznn applied to the real time solution of a nonstationary Lyapunov Equation and tracking control of a wheeled mobile manipulator
IEEE Transactions on Industrial Informatics, 2018Co-Authors: Lin Xiao, Bolin Liao, Zhijun Zhang, Lei Ding, Long JinAbstract:The Lyapunov Equation is widely employed in the engineering field to analyze stability of dynamic systems. In this paper, based on a new evolution formula, a novel finite-time recurrent neural network (termed finite-time Zhang neural network, FTZNN) is proposed and studied for solving a nonstationary Lyapunov Equation. In comparison with the original Zhang neural network (ZNN) model for a nonstationary Lyapunov Equation, the convergence performance has a remarkable improvement for the proposed FTZNN model and can be accelerated to finite time. Besides, by solving the differential inequality, the time upper bound of the FTZNN model is computed theoretically and analytically. Simulations are conducted and compared to validate the superiority of the FTZNN model to the original ZNN model for solving the nonstationary Lyapunov Equation. At last, the FTZNN model is successfully applied to online tracking control of a wheeled mobile manipulator.
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A convergence-accelerated Zhang neural network and its solution application to Lyapunov Equation
Neurocomputing, 2016Co-Authors: Lin Xiao, Bolin LiaoAbstract:Lyapunov Equation is widely encountered in scientific and engineering fields, and especially used in the control community to analyze the stability of a control system. In this paper, a convergence-accelerated Zhang neural network (CAZNN) is proposed and investigated for solving online Lyapunov Equation. Different from the conventional gradient neural network (GNN) and the original Zhang neural network (ZNN), the proposed CAZNN model adopts a sign-bi-power activation function, and thus possesses the best convergence performance. Furthermore, we prove that the CAZNN model can converge to the theoretical solution of Lyapunov Equation within finite time, instead of converging exponentially with time. Simulative results also verify the effectiveness and superiority of the CAZNN model for solving online Lyapunov Equation, as compared with the GNN model and the ZNN model.
