Lyapunov Candidate

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Gao Fei - One of the best experts on this subject based on the ideXlab platform.

  • Towards Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC filter DC/DC Converters
    'Institute of Electrical and Electronics Engineers (IEEE)', 2021
    Co-Authors: Pang Shengzhao, Nahid-mobarakeh Babak, Pierfederici Serge, Huangfu Yigeng, Luo Guangzhao, Gao Fei
    Abstract:

    International audienceThis article proposes a modified interconnection and damping assignment passivity-based control (IDA-PBC) for dc/dc converter cascaded with an LC filter. The plant is modeled using the port-controlled Hamiltonian (PCH) form. The main objective is to stabilize the cascaded system in case the system supplies constant power load (CPL). To solve the instability issues caused by tightly controlled cascaded systems, the IDA-PBC based on an overall PCH model, including LC input filter and dc/dc converter, is established. Moreover, to ensure that the proposed IDA-PBC admits one unique solution, an adaptive interconnection matrix is designed to build the internal links in the PCH model. Furthermore, in order to improve the implementation on an onboard dc microgrid application with time-varying CPLs, a modified IDA-PBC algorithm is proposed based on the error between the state vector and the desired operating point, which might be variable. The closed-loop Hamiltonian function is chosen as the Lyapunov Candidate function to guarantee that the system operates in a stable manner. The virtual damping assignment technique is addressed to tune the dynamic characteristic of the closed-loop system. Simulation and experimental results are carried out to illustrate the proposed method’s effectiveness

  • Towards Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC filter DC/DC Converters
    HAL CCSD, 2021
    Co-Authors: Pang Shengzhao, Nahid-mobarakeh Babak, Pierfederici Serge, Huangfu Yigeng, Luo Guangzhao, Gao Fei
    Abstract:

    International audienceThis paper proposes a modified Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) for DC/DC converter cascaded with LC filter. The plant is modeled using Port-Controlled Hamiltonian (PCH) form. The main objective is to stabilize the cascaded system in case the system supplies Constant Power Load (CPL). To solve the instability issues caused by tightly controlled cascaded systems, the IDA-PBC based on an overall PCH model including LC input filter and DC/DC converter is established. Moreover, to ensure that the proposed IDA-PBC admits one unique solution, an adaptive interconnection matrix is designed to build the internal links in the PCH model. Furthermore, in order to improve the implementation on an on-board DC microgrid application with time-varying CPLs, a modified IDA-PBC algorithm is proposed based on the error between the state vector and the desired operating point, which might be variable. The closed-loop Hamiltonian function is chosen as the Lyapunov Candidate function to guarantee that the system operates in a stable manner. The virtual damping assignment technique is addressed to tune the dynamic characteristic of the closed-loop system. Simulation and experimental results are carried out to illustrate the proposed method’s effectiveness

  • Improving the Stability of Cascaded DC-DC Converter Systems via the Viewpoints of Passivity-Based Control and Port-Controlled Hamiltonian Framework
    'Institute of Electrical and Electronics Engineers (IEEE)', 2019
    Co-Authors: Pang Shengzhao, Nahid-mobarakeh Babak, Pierfederici Serge, Martin Jean-philippe, Huangfu Yigeng, Luo Guangzhao, Gao Fei
    Abstract:

    International audienceIt is known that the interactions between individually designed subsystems in cascaded can yield instability. To ensure the system stability, the Passivity-Based Controller (PBC) called Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) is addressed in this paper. The stability of the cascaded systems are proved via using the Hamiltonian function (storage function) as the Lyapunov Candidate function. Especially the dynamic and the potential instability caused by the LC filter are regulated by rendering the LC filter into the Hamiltonian framework of the controlled subsystem. The performance of the proposed approach are illustrated in simulation and experiment

Karl J Hedrick - One of the best experts on this subject based on the ideXlab platform.

  • distributed model predictive control for heterogeneous vehicle platoons under unidirectional topologies
    IEEE Transactions on Control Systems and Technology, 2017
    Co-Authors: Yang Zheng, Francesco Borrelli, Shengbo Eben Li, Keqiang Li, Karl J Hedrick
    Abstract:

    This paper presents a distributed model predictive control (DMPC) algorithm for heterogeneous vehicle platoons with unidirectional topologies and a priori unknown desired set point. The vehicles (or nodes) in a platoon are dynamically decoupled but constrained by spatial geometry. Each node is assigned a local open-loop optimal control problem only relying on the information of neighboring nodes, in which the cost function is designed by penalizing on the errors between the predicted and assumed trajectories. Together with this penalization, an equality-based terminal constraint is proposed to ensure stability, which enforces the terminal states of each node in the predictive horizon equal to the average of its neighboring states. By using the sum of local cost functions as a Lyapunov Candidate, it is proved that asymptotic stability of such a DMPC can be achieved through an explicit sufficient condition on the weights of the cost functions. Simulations with passenger cars demonstrate the effectiveness of the proposed DMPC.

  • distributed model predictive control for heterogeneous vehicle platoons under unidirectional topologies
    arXiv: Optimization and Control, 2016
    Co-Authors: Yang Zheng, Francesco Borrelli, Karl J Hedrick
    Abstract:

    This paper presents a distributed model predictive control (DMPC) algorithm for heterogeneous vehicle platoons with unidirectional topologies and a priori unknown desired set point. The vehicles (or nodes) in a platoon are dynamically decoupled but constrained by spatial geometry. Each node is assigned a local open-loop optimal control problem only relying on the information of neighboring nodes, in which the cost function is designed by penalizing on the errors between predicted and assumed trajectories. Together with this penalization, an equality based terminal constraint is proposed to ensure stability, which enforces the terminal states of each node in the predictive horizon equal to the average of its neighboring states. By using the sum of local cost functions as a Lyapunov Candidate, it is proved that asymptotic stability of such a DMPC can be achieved through an explicit sufficient condition on the weights of the cost functions. Simulations with passenger cars demonstrate the effectiveness of proposed DMPC.

Morales-menendez Ruben - One of the best experts on this subject based on the ideXlab platform.

  • Chatter mitigation in milling process using discrete time sliding mode control with type 2-fuzzy logic system
    'MDPI AG', 2020
    Co-Authors: Paul Satyam, Morales-menendez Ruben
    Abstract:

    In order to achieve a high-quality machining process with superior productivity, it is very important to tackle the phenomenon of chatter in an effective manner. The problems like tool wear and improper surface finish affect the milling process and are caused by self-induced vibration termed as chatter. A strategy to control chatter vibration actively in the milling process is presented. The mathematical modeling of the process is carried out initially. In this paper, an innovative technique of discrete time sliding mode control (DSMC) is blended with the type-2 fuzzy logic system. The proposed active controller results in a significantly high mitigation of vibration. The DSMC is linked to the time-varying gain which is an innovative approach to mitigate chattering. The theorem is laid down which validates that the system states are bounded in the case of DSMC-type-2 fuzzy. Stability analysis is carried out using Lyapunov Candidate. The nonlinearities linked with the cutting forces and damper friction are handled effectively by using the type-2 fuzzy logic system. The performance of the DSMC-type-2 fuzzy concept is compared with the discrete time PID (D-PID) and discrete time sliding mode control for validating the effectiveness of the controller. The better performance of DSMC-type-2 fuzzy over D-PID and DSMC-T1 fuzzy in the minimization of milling chatter are validated by a numerical analysis approach

  • Chatter Mitigation in Milling Process Using Discrete Time Sliding Mode Control with Type 2-Fuzzy Logic System
    'MDPI AG', 2019
    Co-Authors: Paul Satyam, Morales-menendez Ruben
    Abstract:

    In order to achieve a high-quality machining process with superior productivity, it is very important to tackle the phenomenon of chatter in an effective manner. The problems like tool wear and improper surface finish affect the milling process and are caused by self-induced vibration termed as chatter. A strategy to control chatter vibration actively in the milling process is presented. The mathematical modeling of the process is carried out initially. In this paper, an innovative technique of discrete time sliding mode control (DSMC) is blended with the type-2 fuzzy logic system. The proposed active controller results in a significantly high mitigation of vibration. The DSMC is linked to the time-varying gain which is an innovative approach to mitigate chattering. The theorem is laid down which validates that the system states are bounded in the case of DSMC-type-2 fuzzy. Stability analysis is carried out using Lyapunov Candidate. The nonlinearities linked with the cutting forces and damper friction are handled effectively by using the type-2 fuzzy logic system. The performance of the DSMC-type-2 fuzzy concept is compared with the discrete time PID (D-PID) and discrete time sliding mode control for validating the effectiveness of the controller. The better performance of DSMC-type-2 fuzzy over D-PID and DSMC-T1 fuzzy in the minimization of milling chatter are validated by a numerical analysis approach.Funding Agency:Tecnologico de Monterrey, School of Engineering and Sciences, Monterrey, NL, Mexico

Pang Shengzhao - One of the best experts on this subject based on the ideXlab platform.

  • Towards Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC filter DC/DC Converters
    'Institute of Electrical and Electronics Engineers (IEEE)', 2021
    Co-Authors: Pang Shengzhao, Nahid-mobarakeh Babak, Pierfederici Serge, Huangfu Yigeng, Luo Guangzhao, Gao Fei
    Abstract:

    International audienceThis article proposes a modified interconnection and damping assignment passivity-based control (IDA-PBC) for dc/dc converter cascaded with an LC filter. The plant is modeled using the port-controlled Hamiltonian (PCH) form. The main objective is to stabilize the cascaded system in case the system supplies constant power load (CPL). To solve the instability issues caused by tightly controlled cascaded systems, the IDA-PBC based on an overall PCH model, including LC input filter and dc/dc converter, is established. Moreover, to ensure that the proposed IDA-PBC admits one unique solution, an adaptive interconnection matrix is designed to build the internal links in the PCH model. Furthermore, in order to improve the implementation on an onboard dc microgrid application with time-varying CPLs, a modified IDA-PBC algorithm is proposed based on the error between the state vector and the desired operating point, which might be variable. The closed-loop Hamiltonian function is chosen as the Lyapunov Candidate function to guarantee that the system operates in a stable manner. The virtual damping assignment technique is addressed to tune the dynamic characteristic of the closed-loop system. Simulation and experimental results are carried out to illustrate the proposed method’s effectiveness

  • Towards Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC filter DC/DC Converters
    HAL CCSD, 2021
    Co-Authors: Pang Shengzhao, Nahid-mobarakeh Babak, Pierfederici Serge, Huangfu Yigeng, Luo Guangzhao, Gao Fei
    Abstract:

    International audienceThis paper proposes a modified Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) for DC/DC converter cascaded with LC filter. The plant is modeled using Port-Controlled Hamiltonian (PCH) form. The main objective is to stabilize the cascaded system in case the system supplies Constant Power Load (CPL). To solve the instability issues caused by tightly controlled cascaded systems, the IDA-PBC based on an overall PCH model including LC input filter and DC/DC converter is established. Moreover, to ensure that the proposed IDA-PBC admits one unique solution, an adaptive interconnection matrix is designed to build the internal links in the PCH model. Furthermore, in order to improve the implementation on an on-board DC microgrid application with time-varying CPLs, a modified IDA-PBC algorithm is proposed based on the error between the state vector and the desired operating point, which might be variable. The closed-loop Hamiltonian function is chosen as the Lyapunov Candidate function to guarantee that the system operates in a stable manner. The virtual damping assignment technique is addressed to tune the dynamic characteristic of the closed-loop system. Simulation and experimental results are carried out to illustrate the proposed method’s effectiveness

  • Improving the Stability of Cascaded DC-DC Converter Systems via the Viewpoints of Passivity-Based Control and Port-Controlled Hamiltonian Framework
    'Institute of Electrical and Electronics Engineers (IEEE)', 2019
    Co-Authors: Pang Shengzhao, Nahid-mobarakeh Babak, Pierfederici Serge, Martin Jean-philippe, Huangfu Yigeng, Luo Guangzhao, Gao Fei
    Abstract:

    International audienceIt is known that the interactions between individually designed subsystems in cascaded can yield instability. To ensure the system stability, the Passivity-Based Controller (PBC) called Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) is addressed in this paper. The stability of the cascaded systems are proved via using the Hamiltonian function (storage function) as the Lyapunov Candidate function. Especially the dynamic and the potential instability caused by the LC filter are regulated by rendering the LC filter into the Hamiltonian framework of the controlled subsystem. The performance of the proposed approach are illustrated in simulation and experiment

Jing Bai - One of the best experts on this subject based on the ideXlab platform.

  • Neural Networks Based Adaptive Consensus for a Class of Fractional-Order Uncertain Nonlinear Multiagent Systems
    'Hindawi Limited', 2018
    Co-Authors: Jing Bai
    Abstract:

    Due to the excellent approximation ability, the neural networks based control method is used to achieve adaptive consensus of the fractional-order uncertain nonlinear multiagent systems with external disturbance. The unknown nonlinear term and the external disturbance term in the systems are compensated by using the radial basis function neural networks method, a corresponding fractional-order adaption law is designed to approach the ideal neural network weight matrix of the unknown nonlinear terms, and a control law is designed eventually. According to the designed Lyapunov Candidate function and the fractional theory, the systems stability is proved, and the adaptive consensus can be guaranteed by using the designed control law. Finally, two simulations are shown to illustrate the validity of the obtained results

  • Distributed consensus tracking for the fractional-order multi-agent systems based on the sliding mode control method
    Neurocomputing, 2017
    Co-Authors: Jing Bai, Guoguang Wen, Ahmed Rahmani, Yongguang Yu
    Abstract:

    Distributed consensus tracking for the fractional-order multi-agent systems is mainly studied in this paper. Firstly, the simple Lyapunov Candidate function is discussed to judge the validity of the proposed controller. Secondly, according to the sliding mode control method, a controller is designed to achieve the consensus tracking problem when the followers are described by the fractional-order linear dynamics. Thirdly, the case when the dynamics of followers own the intrinsic nonlinear function is discussed, it proves that the designed sliding mode controller is still valid for this case under the certain conditions. For the above two parts, the systems stabilities are judged based on the result of the first part. Finally, several simulations are presented to verify the obtained results.