Loop Transfer Function

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A Rufer - One of the best experts on this subject based on the ideXlab platform.

  • high order vector control of grid connected voltage source converters with lcl filters
    IEEE Transactions on Industrial Electronics, 2014
    Co-Authors: Behrooz Bahrani, Michail Vasiladiotis, A Rufer
    Abstract:

    This paper proposes a vector control strategy for LCL-filter-based grid-connected voltage-source converters (VSCs). The proposed control strategy is inherently capable of attenuating the resonance phenomenon of such systems. This is an advantage over the existing methods, which require additional damping techniques. Moreover, the proposed vector control strategy is able to fully decouple the direct (d) and quadrature (q) components of the current in a rotating reference frame. The design procedure comprises a constrained optimization-based Loop shaping. It utilizes the multi-input multi-output (MIMO) nonparametric model of the system along with a high-order linearly parameterized MIMO controller to form an open-Loop Transfer Function matrix. Minimizing the second norm of the error between the open-Loop Transfer Function matrix and a desired one, the coefficients of the controller are optimally determined. Conducting several reference tracking scenarios, the performance of the proposed vector controller is evaluated both by means of time-domain simulation studies in MATLAB/Simulink and experimental results.

  • multivariable control of single inductor dual output buck converters
    IEEE Transactions on Power Electronics, 2014
    Co-Authors: Jaya Deepti Dasika, Alireza Karimi, Behrooz Bahrani, Maryam Saeedifard, A Rufer
    Abstract:

    Cross regulation is the main technical challenge of a single-inductor multiple-output (SIMO) dc-dc converter. This paper proposes a multivariable digital controller to suppress the cross regulation of a single-inductor dual-output (SIDO) buck converter in continuous conduction mode (CCM) operation. The controller design methodology originates from the open-Loop shaping of the multi-input multi-output (MIMO) systems. The control design procedure includes: 1) determination of a family of nonparametric models of the SIDO converter at operating points of interest, 2) determination of the class of the controller, and 3) system open-Loop shaping by the convex minimization of the summation of the square second norm of the errors between the system open-Loop Transfer Function matrices and a desired open-Loop Transfer Function matrix. The proposed controller minimizes the coupling between the outputs of the SIDO converter and provides satisfactory dynamic performance in CCM operation. This paper describes the theoretical aspects involved in the design procedure of the controller and evaluates the performance of the controller based on simulation studies and experiments.

József Bokor - One of the best experts on this subject based on the ideXlab platform.

  • A Loop shaping design using weighted generalized orthonormal basis Functions
    2001 European Control Conference (ECC), 2001
    Co-Authors: P. Gaspar, Z Szabo, József Bokor
    Abstract:

    In the paper a robust control design method is proposed to obtain a compensator that realizes the required Loop shape formed by nominal performance and robust stability specifications. First, a fictitious compensator is identified in such a way that the design Loop Transfer Function tends toward the required Loop Transfer Function. Since the compensator must be identified as accurately as possible in the frequency domains that are important in terms of the required Loop shape, the identification is performed by a stable approximation using frequency-weighted generalized orthonormal basis Functions (WGOBF). Second, a robust compensator is designed by using the H∞/μ method taking into consideration the approximation error of the designed Loop Transfer Function. The steps of the control design are illustrated to demonstrate the method on a numerical example.

  • Robust control synthesis to achieve a required Loop shape-a generalized orthonormal basis Function approach
    Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
    Co-Authors: P. Gaspar, Z Szabo, József Bokor
    Abstract:

    In the paper a new control design method is developed to obtain a robust controller that realize the required Loop shape. First, a Transfer Function, namely a fictitious controller, is identified between the model and the required Loop Transfer Function. Then a robust controller is designed taking into consideration the approximation error of the designed Loop Transfer Function. The designed controller achieves the Loop Transfer Function and meets the robust stability and nominal performance requirements. In the paper the steps of the robust control synthesis are discussed, moreover a simulation example is shown to demonstrate the method in a numerical example.

Hideaki Ishii - One of the best experts on this subject based on the ideXlab platform.

  • brief paper characterization of a complementary sensitivity property in feedback control an information theoretic approach
    Automatica, 2009
    Co-Authors: Kunihisa Okano, Shinji Hara, Hideaki Ishii
    Abstract:

    This paper addresses a characterization of a complementary sensitivity property in feedback control using an information theoretic approach. We derive an integral-type constraint of the complementary sensitivity Function with respect to the unstable zeros of the open-Loop Transfer Function. It is an analogue of Bode's integral formula for the sensitivity gain. To show the constraint, we first show a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relationship between the mutual information of control signals and the unstable zeros of the open-Loop Transfer Function.

  • characterization of a complementary sensitivity property in feedback control an information theoretic approach
    IFAC Proceedings Volumes, 2008
    Co-Authors: Kunihisa Okano, Shinji Hara, Hideaki Ishii
    Abstract:

    Abstract This paper addresses a characterization of a complementary sensitivity property in feedback control using an information theoretic approach. We derive an integral-type constraint of the complementary sensitivity Function with respect to the unstable zeros of the open-Loop Transfer Function. It is an analogue of Bode's integral formula for the sensitivity gain. To show the constraint, we first present a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relation between the mutual information of a control signal and the unstable zeros of the open-Loop Transfer Function.

P. Gaspar - One of the best experts on this subject based on the ideXlab platform.

  • A Loop shaping design using weighted generalized orthonormal basis Functions
    2001 European Control Conference (ECC), 2001
    Co-Authors: P. Gaspar, Z Szabo, József Bokor
    Abstract:

    In the paper a robust control design method is proposed to obtain a compensator that realizes the required Loop shape formed by nominal performance and robust stability specifications. First, a fictitious compensator is identified in such a way that the design Loop Transfer Function tends toward the required Loop Transfer Function. Since the compensator must be identified as accurately as possible in the frequency domains that are important in terms of the required Loop shape, the identification is performed by a stable approximation using frequency-weighted generalized orthonormal basis Functions (WGOBF). Second, a robust compensator is designed by using the H∞/μ method taking into consideration the approximation error of the designed Loop Transfer Function. The steps of the control design are illustrated to demonstrate the method on a numerical example.

  • Robust control synthesis to achieve a required Loop shape-a generalized orthonormal basis Function approach
    Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
    Co-Authors: P. Gaspar, Z Szabo, József Bokor
    Abstract:

    In the paper a new control design method is developed to obtain a robust controller that realize the required Loop shape. First, a Transfer Function, namely a fictitious controller, is identified between the model and the required Loop Transfer Function. Then a robust controller is designed taking into consideration the approximation error of the designed Loop Transfer Function. The designed controller achieves the Loop Transfer Function and meets the robust stability and nominal performance requirements. In the paper the steps of the robust control synthesis are discussed, moreover a simulation example is shown to demonstrate the method in a numerical example.

Behrooz Bahrani - One of the best experts on this subject based on the ideXlab platform.

  • high order vector control of grid connected voltage source converters with lcl filters
    IEEE Transactions on Industrial Electronics, 2014
    Co-Authors: Behrooz Bahrani, Michail Vasiladiotis, A Rufer
    Abstract:

    This paper proposes a vector control strategy for LCL-filter-based grid-connected voltage-source converters (VSCs). The proposed control strategy is inherently capable of attenuating the resonance phenomenon of such systems. This is an advantage over the existing methods, which require additional damping techniques. Moreover, the proposed vector control strategy is able to fully decouple the direct (d) and quadrature (q) components of the current in a rotating reference frame. The design procedure comprises a constrained optimization-based Loop shaping. It utilizes the multi-input multi-output (MIMO) nonparametric model of the system along with a high-order linearly parameterized MIMO controller to form an open-Loop Transfer Function matrix. Minimizing the second norm of the error between the open-Loop Transfer Function matrix and a desired one, the coefficients of the controller are optimally determined. Conducting several reference tracking scenarios, the performance of the proposed vector controller is evaluated both by means of time-domain simulation studies in MATLAB/Simulink and experimental results.

  • multivariable control of single inductor dual output buck converters
    IEEE Transactions on Power Electronics, 2014
    Co-Authors: Jaya Deepti Dasika, Alireza Karimi, Behrooz Bahrani, Maryam Saeedifard, A Rufer
    Abstract:

    Cross regulation is the main technical challenge of a single-inductor multiple-output (SIMO) dc-dc converter. This paper proposes a multivariable digital controller to suppress the cross regulation of a single-inductor dual-output (SIDO) buck converter in continuous conduction mode (CCM) operation. The controller design methodology originates from the open-Loop shaping of the multi-input multi-output (MIMO) systems. The control design procedure includes: 1) determination of a family of nonparametric models of the SIDO converter at operating points of interest, 2) determination of the class of the controller, and 3) system open-Loop shaping by the convex minimization of the summation of the square second norm of the errors between the system open-Loop Transfer Function matrices and a desired open-Loop Transfer Function matrix. The proposed controller minimizes the coupling between the outputs of the SIDO converter and provides satisfactory dynamic performance in CCM operation. This paper describes the theoretical aspects involved in the design procedure of the controller and evaluates the performance of the controller based on simulation studies and experiments.