Steady State Error

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Woei Wan Tan - One of the best experts on this subject based on the ideXlab platform.

  • ensuring zero Steady State Error in interval type 2 fuzzy pi control system with non symmetrical fuzzy sets
    IEEE International Conference on Fuzzy Systems, 2015
    Co-Authors: Chun Ming Tommy Yip, Woei Wan Tan
    Abstract:

    Interval type-2 fuzzy logic controllers (IT2 FLCs) have been treated as a black box in most control applications because the input-output relationship is not fully understood. Reason is that the input-output mapping is very difficult to be expressed in closed-form, therefore, most fuzzy control designers use evolutionary computation methods such as genetic algorithm and big bang-big crunch optimisation to optimise the parameters for specific control applications. However, this is not the case for classical PI controllers, where the input-output mappings are always known. Apart from using optimisation method, symmetrical antecedent fuzzy sets are usually employed to construct IT2 FLCs. It will be interesting to see how the control performance can be further improved by introducing non-symmetrical fuzzy sets in one of the input domain. In this paper, we analyse an IT2 fuzzy PI control system with non-symmetrical IT2 antecedent sets, symmetrical consequent sets and a symmetrical rule base. Results show that, contrary to conventional knowledge, a fuzzy PI controller with non-symmetrical IT2 antecedent sets may not be able to ensure zero Steady-State Error. Thus, this paper presents guideline for designing IT2 fuzzy PI control system with the aforementioned structure that has zero Steady State Error. Two conditions and 4 inequality equations are derived to act as constraints on the firing strengths and fuzzy set parameters, thereby ensuring zero Steady-State Error when non-symmetrical fuzzy sets are introduced into one of the two input variable domains. Simulation results are presented to demonstrate that application of the proposed conditions ensure zero Steady-State Error in a fuzzy system with non-symmetrical fuzzy sets.

  • FUZZ-IEEE - Ensuring zero Steady State Error in interval type-2 fuzzy PI control system with non-symmetrical fuzzy sets
    2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015
    Co-Authors: Chun Ming Tommy Yip, Woei Wan Tan
    Abstract:

    Interval type-2 fuzzy logic controllers (IT2 FLCs) have been treated as a black box in most control applications because the input-output relationship is not fully understood. Reason is that the input-output mapping is very difficult to be expressed in closed-form, therefore, most fuzzy control designers use evolutionary computation methods such as genetic algorithm and big bang-big crunch optimisation to optimise the parameters for specific control applications. However, this is not the case for classical PI controllers, where the input-output mappings are always known. Apart from using optimisation method, symmetrical antecedent fuzzy sets are usually employed to construct IT2 FLCs. It will be interesting to see how the control performance can be further improved by introducing non-symmetrical fuzzy sets in one of the input domain. In this paper, we analyse an IT2 fuzzy PI control system with non-symmetrical IT2 antecedent sets, symmetrical consequent sets and a symmetrical rule base. Results show that, contrary to conventional knowledge, a fuzzy PI controller with non-symmetrical IT2 antecedent sets may not be able to ensure zero Steady-State Error. Thus, this paper presents guideline for designing IT2 fuzzy PI control system with the aforementioned structure that has zero Steady State Error. Two conditions and 4 inequality equations are derived to act as constraints on the firing strengths and fuzzy set parameters, thereby ensuring zero Steady-State Error when non-symmetrical fuzzy sets are introduced into one of the two input variable domains. Simulation results are presented to demonstrate that application of the proposed conditions ensure zero Steady-State Error in a fuzzy system with non-symmetrical fuzzy sets.

Chun Ming Tommy Yip - One of the best experts on this subject based on the ideXlab platform.

  • ensuring zero Steady State Error in interval type 2 fuzzy pi control system with non symmetrical fuzzy sets
    IEEE International Conference on Fuzzy Systems, 2015
    Co-Authors: Chun Ming Tommy Yip, Woei Wan Tan
    Abstract:

    Interval type-2 fuzzy logic controllers (IT2 FLCs) have been treated as a black box in most control applications because the input-output relationship is not fully understood. Reason is that the input-output mapping is very difficult to be expressed in closed-form, therefore, most fuzzy control designers use evolutionary computation methods such as genetic algorithm and big bang-big crunch optimisation to optimise the parameters for specific control applications. However, this is not the case for classical PI controllers, where the input-output mappings are always known. Apart from using optimisation method, symmetrical antecedent fuzzy sets are usually employed to construct IT2 FLCs. It will be interesting to see how the control performance can be further improved by introducing non-symmetrical fuzzy sets in one of the input domain. In this paper, we analyse an IT2 fuzzy PI control system with non-symmetrical IT2 antecedent sets, symmetrical consequent sets and a symmetrical rule base. Results show that, contrary to conventional knowledge, a fuzzy PI controller with non-symmetrical IT2 antecedent sets may not be able to ensure zero Steady-State Error. Thus, this paper presents guideline for designing IT2 fuzzy PI control system with the aforementioned structure that has zero Steady State Error. Two conditions and 4 inequality equations are derived to act as constraints on the firing strengths and fuzzy set parameters, thereby ensuring zero Steady-State Error when non-symmetrical fuzzy sets are introduced into one of the two input variable domains. Simulation results are presented to demonstrate that application of the proposed conditions ensure zero Steady-State Error in a fuzzy system with non-symmetrical fuzzy sets.

  • FUZZ-IEEE - Ensuring zero Steady State Error in interval type-2 fuzzy PI control system with non-symmetrical fuzzy sets
    2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015
    Co-Authors: Chun Ming Tommy Yip, Woei Wan Tan
    Abstract:

    Interval type-2 fuzzy logic controllers (IT2 FLCs) have been treated as a black box in most control applications because the input-output relationship is not fully understood. Reason is that the input-output mapping is very difficult to be expressed in closed-form, therefore, most fuzzy control designers use evolutionary computation methods such as genetic algorithm and big bang-big crunch optimisation to optimise the parameters for specific control applications. However, this is not the case for classical PI controllers, where the input-output mappings are always known. Apart from using optimisation method, symmetrical antecedent fuzzy sets are usually employed to construct IT2 FLCs. It will be interesting to see how the control performance can be further improved by introducing non-symmetrical fuzzy sets in one of the input domain. In this paper, we analyse an IT2 fuzzy PI control system with non-symmetrical IT2 antecedent sets, symmetrical consequent sets and a symmetrical rule base. Results show that, contrary to conventional knowledge, a fuzzy PI controller with non-symmetrical IT2 antecedent sets may not be able to ensure zero Steady-State Error. Thus, this paper presents guideline for designing IT2 fuzzy PI control system with the aforementioned structure that has zero Steady State Error. Two conditions and 4 inequality equations are derived to act as constraints on the firing strengths and fuzzy set parameters, thereby ensuring zero Steady-State Error when non-symmetrical fuzzy sets are introduced into one of the two input variable domains. Simulation results are presented to demonstrate that application of the proposed conditions ensure zero Steady-State Error in a fuzzy system with non-symmetrical fuzzy sets.

Henry Chung - One of the best experts on this subject based on the ideXlab platform.

  • IECON - A Novel State-Observer-Based PBC Controller for LCL-Filtered Grid-Tied Inverter with Less Sensors and Zero Steady-State Error
    IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society, 2020
    Co-Authors: Jinping Zhao, Henry Chung, Frede Blaabjerg
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered grid-tied inverter (GTI). However, the conventional PBC method depends much on accurate mathematical model, where zero Steady-State Error can’t be realized when the accurate model parameters are not available or parameters drift occur. Furthermore, due to the utilizing of three State variables in the conventional PBC controller for LCL-filtered GTI, twelve sensors (voltage and current) must be used in a three phase system, which increase the costs and the failure rate of hardware. In order to handle the problems, a novel State observer based modified PBC (SOMPBC) controller for LCL-filtered GTI is proposed in this paper. Six sensors can be saved by the State observer and zero Steady-State Error can be easily realized by two modified control methods, where an integral regulator is insert into the conventional PBC controller with two different ways. Simulation platform is built in MATLAB/Simulink and a 3-kW experimental device is carried out with DS1202 to verify the correctness and effectiveness of proposed control method.

  • a novel State observer based pbc controller for lcl filtered grid tied inverter with less sensors and zero Steady State Error
    Conference of the Industrial Electronics Society, 2020
    Co-Authors: Jinping Zhao, Henry Chung, Frede Blaabjerg
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered grid-tied inverter (GTI). However, the conventional PBC method depends much on accurate mathematical model, where zero Steady-State Error can’t be realized when the accurate model parameters are not available or parameters drift occur. Furthermore, due to the utilizing of three State variables in the conventional PBC controller for LCL-filtered GTI, twelve sensors (voltage and current) must be used in a three phase system, which increase the costs and the failure rate of hardware. In order to handle the problems, a novel State observer based modified PBC (SOMPBC) controller for LCL-filtered GTI is proposed in this paper. Six sensors can be saved by the State observer and zero Steady-State Error can be easily realized by two modified control methods, where an integral regulator is insert into the conventional PBC controller with two different ways. Simulation platform is built in MATLAB/Simulink and a 3-kW experimental device is carried out with DS1202 to verify the correctness and effectiveness of proposed control method.

  • parameters design strategy of pbc controller for lcl filtered grid tied inverter based on limited Steady State Error
    International Conference on Performance Engineering, 2019
    Co-Authors: Jinpin Zhao, Henry Chung, Zhikang Shuar, An Luo, Frede Blaabjerg
    Abstract:

    Nowadays, the passivity-based control (PBC) as a nonlinear control method with much superiority has been studied more and more frequently, where it has been successfully used in Grid-Tied Inverters (GTI). Due to the high order characteristics of a LCL-filtered GTI, the PBC control law tends to be complicated, resulting in a difficult selection on control parameters. In this paper, a novel PBC parameters design strategy based on the expectant limited Steady-State Error is proposed. Simulation platform was built in MATLAB/Simulink and a 3-kW experimental device was carried out with DS1202 to verify the correctness and effectiveness of the proposed strategy.

  • A Modified PBC Controller Using Dynamic Damping Injection for LCL-Filtered Grid-Tied Inverter with Zero Steady State Error
    2019 IEEE Energy Conversion Congress and Exposition (ECCE), 2019
    Co-Authors: Jinping Zhao, Min Huang, Huai Wang, Frede Blaabjerg, Henry Chung
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered Grid-Tied Inverters (GTI). However, the inaccurate mathematic model of control object will lead to a Steady State Error, when using the conventional PBC controller. In this paper, a modified PBC controller by using Dynamic Damping Injection (DDI) for LCL-filtered GTI is proposed to eliminate the Steady State Error. Furthermore, the State observer is used to reduce the number of sensors. A simulation platform is built in MATLAB/Simulink, and a 3-kW experimental device is developed with the control hardware of dSPACE DS1202 to verify the correctness and effectiveness of proposed control method.

Frede Blaabjerg - One of the best experts on this subject based on the ideXlab platform.

  • IECON - A Novel State-Observer-Based PBC Controller for LCL-Filtered Grid-Tied Inverter with Less Sensors and Zero Steady-State Error
    IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society, 2020
    Co-Authors: Jinping Zhao, Henry Chung, Frede Blaabjerg
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered grid-tied inverter (GTI). However, the conventional PBC method depends much on accurate mathematical model, where zero Steady-State Error can’t be realized when the accurate model parameters are not available or parameters drift occur. Furthermore, due to the utilizing of three State variables in the conventional PBC controller for LCL-filtered GTI, twelve sensors (voltage and current) must be used in a three phase system, which increase the costs and the failure rate of hardware. In order to handle the problems, a novel State observer based modified PBC (SOMPBC) controller for LCL-filtered GTI is proposed in this paper. Six sensors can be saved by the State observer and zero Steady-State Error can be easily realized by two modified control methods, where an integral regulator is insert into the conventional PBC controller with two different ways. Simulation platform is built in MATLAB/Simulink and a 3-kW experimental device is carried out with DS1202 to verify the correctness and effectiveness of proposed control method.

  • a novel State observer based pbc controller for lcl filtered grid tied inverter with less sensors and zero Steady State Error
    Conference of the Industrial Electronics Society, 2020
    Co-Authors: Jinping Zhao, Henry Chung, Frede Blaabjerg
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered grid-tied inverter (GTI). However, the conventional PBC method depends much on accurate mathematical model, where zero Steady-State Error can’t be realized when the accurate model parameters are not available or parameters drift occur. Furthermore, due to the utilizing of three State variables in the conventional PBC controller for LCL-filtered GTI, twelve sensors (voltage and current) must be used in a three phase system, which increase the costs and the failure rate of hardware. In order to handle the problems, a novel State observer based modified PBC (SOMPBC) controller for LCL-filtered GTI is proposed in this paper. Six sensors can be saved by the State observer and zero Steady-State Error can be easily realized by two modified control methods, where an integral regulator is insert into the conventional PBC controller with two different ways. Simulation platform is built in MATLAB/Simulink and a 3-kW experimental device is carried out with DS1202 to verify the correctness and effectiveness of proposed control method.

  • parameters design strategy of pbc controller for lcl filtered grid tied inverter based on limited Steady State Error
    International Conference on Performance Engineering, 2019
    Co-Authors: Jinpin Zhao, Henry Chung, Zhikang Shuar, An Luo, Frede Blaabjerg
    Abstract:

    Nowadays, the passivity-based control (PBC) as a nonlinear control method with much superiority has been studied more and more frequently, where it has been successfully used in Grid-Tied Inverters (GTI). Due to the high order characteristics of a LCL-filtered GTI, the PBC control law tends to be complicated, resulting in a difficult selection on control parameters. In this paper, a novel PBC parameters design strategy based on the expectant limited Steady-State Error is proposed. Simulation platform was built in MATLAB/Simulink and a 3-kW experimental device was carried out with DS1202 to verify the correctness and effectiveness of the proposed strategy.

  • A Modified PBC Controller Using Dynamic Damping Injection for LCL-Filtered Grid-Tied Inverter with Zero Steady State Error
    2019 IEEE Energy Conversion Congress and Exposition (ECCE), 2019
    Co-Authors: Jinping Zhao, Min Huang, Huai Wang, Frede Blaabjerg, Henry Chung
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered Grid-Tied Inverters (GTI). However, the inaccurate mathematic model of control object will lead to a Steady State Error, when using the conventional PBC controller. In this paper, a modified PBC controller by using Dynamic Damping Injection (DDI) for LCL-filtered GTI is proposed to eliminate the Steady State Error. Furthermore, the State observer is used to reduce the number of sensors. A simulation platform is built in MATLAB/Simulink, and a 3-kW experimental device is developed with the control hardware of dSPACE DS1202 to verify the correctness and effectiveness of proposed control method.

Jinping Zhao - One of the best experts on this subject based on the ideXlab platform.

  • IECON - A Novel State-Observer-Based PBC Controller for LCL-Filtered Grid-Tied Inverter with Less Sensors and Zero Steady-State Error
    IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society, 2020
    Co-Authors: Jinping Zhao, Henry Chung, Frede Blaabjerg
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered grid-tied inverter (GTI). However, the conventional PBC method depends much on accurate mathematical model, where zero Steady-State Error can’t be realized when the accurate model parameters are not available or parameters drift occur. Furthermore, due to the utilizing of three State variables in the conventional PBC controller for LCL-filtered GTI, twelve sensors (voltage and current) must be used in a three phase system, which increase the costs and the failure rate of hardware. In order to handle the problems, a novel State observer based modified PBC (SOMPBC) controller for LCL-filtered GTI is proposed in this paper. Six sensors can be saved by the State observer and zero Steady-State Error can be easily realized by two modified control methods, where an integral regulator is insert into the conventional PBC controller with two different ways. Simulation platform is built in MATLAB/Simulink and a 3-kW experimental device is carried out with DS1202 to verify the correctness and effectiveness of proposed control method.

  • a novel State observer based pbc controller for lcl filtered grid tied inverter with less sensors and zero Steady State Error
    Conference of the Industrial Electronics Society, 2020
    Co-Authors: Jinping Zhao, Henry Chung, Frede Blaabjerg
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered grid-tied inverter (GTI). However, the conventional PBC method depends much on accurate mathematical model, where zero Steady-State Error can’t be realized when the accurate model parameters are not available or parameters drift occur. Furthermore, due to the utilizing of three State variables in the conventional PBC controller for LCL-filtered GTI, twelve sensors (voltage and current) must be used in a three phase system, which increase the costs and the failure rate of hardware. In order to handle the problems, a novel State observer based modified PBC (SOMPBC) controller for LCL-filtered GTI is proposed in this paper. Six sensors can be saved by the State observer and zero Steady-State Error can be easily realized by two modified control methods, where an integral regulator is insert into the conventional PBC controller with two different ways. Simulation platform is built in MATLAB/Simulink and a 3-kW experimental device is carried out with DS1202 to verify the correctness and effectiveness of proposed control method.

  • A Modified PBC Controller Using Dynamic Damping Injection for LCL-Filtered Grid-Tied Inverter with Zero Steady State Error
    2019 IEEE Energy Conversion Congress and Exposition (ECCE), 2019
    Co-Authors: Jinping Zhao, Min Huang, Huai Wang, Frede Blaabjerg, Henry Chung
    Abstract:

    The Passivity-Based Control (PBC) has been adopted in LCL-filtered Grid-Tied Inverters (GTI). However, the inaccurate mathematic model of control object will lead to a Steady State Error, when using the conventional PBC controller. In this paper, a modified PBC controller by using Dynamic Damping Injection (DDI) for LCL-filtered GTI is proposed to eliminate the Steady State Error. Furthermore, the State observer is used to reduce the number of sensors. A simulation platform is built in MATLAB/Simulink, and a 3-kW experimental device is developed with the control hardware of dSPACE DS1202 to verify the correctness and effectiveness of proposed control method.