The Experts below are selected from a list of 285 Experts worldwide ranked by ideXlab platform

Tamás Péni - One of the best experts on this subject based on the ideXlab platform.

  • ACC - Model reduction for linear parameter varying systems using scaled Diagonal Dominance
    2016 American Control Conference (ACC), 2016
    Co-Authors: H Pfifer, Tamás Péni
    Abstract:

    A model-reduction method for linear, parameter-varying (LPV) systems based on parameter-varying balanced realizations is proposed. In general, this requires the solution of a large set of linear matrix inequalities, leading to numerical issues and high computational cost. It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large scale model reduction problems more efficiently. A numerical example is provided to demonstrate the efficiency of the approach.

  • Model Reduction for Linear Parameter Varying Systems Using Scaled Diagonal Dominance
    2016 American Control Conference (Acc), 2016
    Co-Authors: H Pfifer, Tamás Péni
    Abstract:

    A model-reduction method for linear, parametervarying (LPV) systems based on parameter-varying balanced realizations is proposed. In general, this requires the solution of a large set of linear matrix inequalities, leading to numerical issues and high computational cost. It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large scale model reduction problems more efficiently. A numerical example is provided to demonstrate the efficiency of the approach.

  • analysis of large scale parameter varying systems by using scaled Diagonal Dominance
    European Control Conference, 2015
    Co-Authors: Tamás Péni, H Pfifer
    Abstract:

    It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance (SDD) conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large dimensional problems more efficiently. However, scaled Diagonal dominant matrices form only a subset of the positive definite matrices. Hence, the new problem formulation results in more conservative solutions. This paper analyses the efficiency and conservativeness of the SDD formulation on two particular problems: the stability analysis and induced ℒ 2 gain computation for linear parameter-varying systems. In the paper some important features of the SDD formulation are revealed and numerical examples are provided to demonstrate the efficiency of the approach.

  • ECC - Analysis of large scale parameter-varying systems by using scaled Diagonal Dominance
    2015 European Control Conference (ECC), 2015
    Co-Authors: Tamás Péni, H Pfifer
    Abstract:

    It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance (SDD) conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large dimensional problems more efficiently. However, scaled Diagonal dominant matrices form only a subset of the positive definite matrices. Hence, the new problem formulation results in more conservative solutions. This paper analyses the efficiency and conservativeness of the SDD formulation on two particular problems: the stability analysis and induced ℒ 2 gain computation for linear parameter-varying systems. In the paper some important features of the SDD formulation are revealed and numerical examples are provided to demonstrate the efficiency of the approach.

H Pfifer - One of the best experts on this subject based on the ideXlab platform.

  • ACC - Model reduction for linear parameter varying systems using scaled Diagonal Dominance
    2016 American Control Conference (ACC), 2016
    Co-Authors: H Pfifer, Tamás Péni
    Abstract:

    A model-reduction method for linear, parameter-varying (LPV) systems based on parameter-varying balanced realizations is proposed. In general, this requires the solution of a large set of linear matrix inequalities, leading to numerical issues and high computational cost. It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large scale model reduction problems more efficiently. A numerical example is provided to demonstrate the efficiency of the approach.

  • Model Reduction for Linear Parameter Varying Systems Using Scaled Diagonal Dominance
    2016 American Control Conference (Acc), 2016
    Co-Authors: H Pfifer, Tamás Péni
    Abstract:

    A model-reduction method for linear, parametervarying (LPV) systems based on parameter-varying balanced realizations is proposed. In general, this requires the solution of a large set of linear matrix inequalities, leading to numerical issues and high computational cost. It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large scale model reduction problems more efficiently. A numerical example is provided to demonstrate the efficiency of the approach.

  • analysis of large scale parameter varying systems by using scaled Diagonal Dominance
    European Control Conference, 2015
    Co-Authors: Tamás Péni, H Pfifer
    Abstract:

    It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance (SDD) conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large dimensional problems more efficiently. However, scaled Diagonal dominant matrices form only a subset of the positive definite matrices. Hence, the new problem formulation results in more conservative solutions. This paper analyses the efficiency and conservativeness of the SDD formulation on two particular problems: the stability analysis and induced ℒ 2 gain computation for linear parameter-varying systems. In the paper some important features of the SDD formulation are revealed and numerical examples are provided to demonstrate the efficiency of the approach.

  • ECC - Analysis of large scale parameter-varying systems by using scaled Diagonal Dominance
    2015 European Control Conference (ECC), 2015
    Co-Authors: Tamás Péni, H Pfifer
    Abstract:

    It has been recognized recently that semidefinite optimization problems (SDP) can be cast into second order cone programs (SOCP) by replacing the positive definiteness constraints with stronger, scaled Diagonal Dominance (SDD) conditions. Since the scalability of SOCP solvers is much better than that of the SDPs, the new formulation allows solving large dimensional problems more efficiently. However, scaled Diagonal dominant matrices form only a subset of the positive definite matrices. Hence, the new problem formulation results in more conservative solutions. This paper analyses the efficiency and conservativeness of the SDD formulation on two particular problems: the stability analysis and induced ℒ 2 gain computation for linear parameter-varying systems. In the paper some important features of the SDD formulation are revealed and numerical examples are provided to demonstrate the efficiency of the approach.

Mehmet Turan Soylemez - One of the best experts on this subject based on the ideXlab platform.

  • achieving Diagonal Dominance for tito systems using Diagonal controllers
    European Control Conference, 2015
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    In this study, Diagonal Dominance of two input two output systems are discussed by considering the standard and weighted Diagonal Dominance conditions separately. In addition, sufficient conditions using static Diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic Diagonal controllers that achieve Diagonal Dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

  • ECC - Achieving Diagonal Dominance for TITO systems using Diagonal controllers
    2015 European Control Conference (ECC), 2015
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    In this study, Diagonal Dominance of two input two output systems are discussed by considering the standard and weighted Diagonal Dominance conditions separately. In addition, sufficient conditions using static Diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic Diagonal controllers that achieve Diagonal Dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

  • Achieving Diagonal Dominance for Parameter Uncertain TITO Systems Using Static Diagonal Controllers
    IFAC-PapersOnLine, 2015
    Co-Authors: Alhan Mutlu, Ugur Yildirim, Mehmet Turan Soylemez
    Abstract:

    Abstract In this study, Diagonal Dominance of parametric uncertain two input two output systems are discussed. Controller gain regions of the static Diagonal controller that guarantee the standard and the weighted Diagonal Dominance of a TITO system are determined non-conservatively for the nominal system. An algorithm is proposed to determine static controller gain regions that achieve the weighted Diagonal Dominance conditions. Although the derived conditions on controller parameters are determined for the fixed frequencies, they can be easily extended for a given frequency range. Moreover, conservative approaches are proposed in order to represent the parametric uncertainties as weighting factors. Lastly, case studies are included to verify the effectiveness of the derived results.

  • determination of static Diagonal controllers to achieve Diagonal Dominance for tito systems at fixed frequencies
    IEEE International Conference on Control System Computing and Engineering, 2014
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    Most of the multivariable control systems include interactions between different input-output pairs. The control problem becomes more complex in case of significant interactions because single loop control solutions cannot be applied directly. In such cases, reducing the interactions with a pre-compensator can be accepted as the first step of design process. In this study, two input two output systems are discussed and sufficient conditions are derived to achieve Diagonal Dominance in case of static Diagonal controllers. Moreover, a new algorithm is proposed to determine the controller gain regions that guarantees column and row Diagonal Dominance. Weighting factors are applied for both row and column Diagonal conditions to obtain better results. Lastly, controller gain regions are plotted for a given TITO system to verify the effectiveness of the derived theoretical results.

  • ICCSCE - Determination of static Diagonal controllers to achieve Diagonal Dominance for TITO systems at fixed frequencies
    2014 IEEE International Conference on Control System Computing and Engineering (ICCSCE 2014), 2014
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    Most of the multivariable control systems include interactions between different input-output pairs. The control problem becomes more complex in case of significant interactions because single loop control solutions cannot be applied directly. In such cases, reducing the interactions with a pre-compensator can be accepted as the first step of design process. In this study, two input two output systems are discussed and sufficient conditions are derived to achieve Diagonal Dominance in case of static Diagonal controllers. Moreover, a new algorithm is proposed to determine the controller gain regions that guarantees column and row Diagonal Dominance. Weighting factors are applied for both row and column Diagonal conditions to obtain better results. Lastly, controller gain regions are plotted for a given TITO system to verify the effectiveness of the derived theoretical results.

Ilhan Mutlu - One of the best experts on this subject based on the ideXlab platform.

  • achieving Diagonal Dominance for tito systems using Diagonal controllers
    European Control Conference, 2015
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    In this study, Diagonal Dominance of two input two output systems are discussed by considering the standard and weighted Diagonal Dominance conditions separately. In addition, sufficient conditions using static Diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic Diagonal controllers that achieve Diagonal Dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

  • ECC - Achieving Diagonal Dominance for TITO systems using Diagonal controllers
    2015 European Control Conference (ECC), 2015
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    In this study, Diagonal Dominance of two input two output systems are discussed by considering the standard and weighted Diagonal Dominance conditions separately. In addition, sufficient conditions using static Diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic Diagonal controllers that achieve Diagonal Dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

  • determination of static Diagonal controllers to achieve Diagonal Dominance for tito systems at fixed frequencies
    IEEE International Conference on Control System Computing and Engineering, 2014
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    Most of the multivariable control systems include interactions between different input-output pairs. The control problem becomes more complex in case of significant interactions because single loop control solutions cannot be applied directly. In such cases, reducing the interactions with a pre-compensator can be accepted as the first step of design process. In this study, two input two output systems are discussed and sufficient conditions are derived to achieve Diagonal Dominance in case of static Diagonal controllers. Moreover, a new algorithm is proposed to determine the controller gain regions that guarantees column and row Diagonal Dominance. Weighting factors are applied for both row and column Diagonal conditions to obtain better results. Lastly, controller gain regions are plotted for a given TITO system to verify the effectiveness of the derived theoretical results.

  • ICCSCE - Determination of static Diagonal controllers to achieve Diagonal Dominance for TITO systems at fixed frequencies
    2014 IEEE International Conference on Control System Computing and Engineering (ICCSCE 2014), 2014
    Co-Authors: Ilhan Mutlu, Mehmet Turan Soylemez
    Abstract:

    Most of the multivariable control systems include interactions between different input-output pairs. The control problem becomes more complex in case of significant interactions because single loop control solutions cannot be applied directly. In such cases, reducing the interactions with a pre-compensator can be accepted as the first step of design process. In this study, two input two output systems are discussed and sufficient conditions are derived to achieve Diagonal Dominance in case of static Diagonal controllers. Moreover, a new algorithm is proposed to determine the controller gain regions that guarantees column and row Diagonal Dominance. Weighting factors are applied for both row and column Diagonal conditions to obtain better results. Lastly, controller gain regions are plotted for a given TITO system to verify the effectiveness of the derived theoretical results.

Antonio Vicino - One of the best experts on this subject based on the ideXlab platform.

  • Diagonal Dominance for robust stability of MIMO interval systems
    IEEE Transactions on Automatic Control, 1996
    Co-Authors: E. De Santis, Antonio Vicino
    Abstract:

    This paper provides sufficient conditions for robust stability of a multivariable interval feedback system. The result is based on the robustness of the well known Diagonal Dominance of the system return difference matrix, which allows for a simple application of the Nyquist criterion to a multi-input/multi-output (MIMO) system.

  • Diagonal Dominance for robust stability of multivariable interval systems
    Proceedings of 32nd IEEE Conference on Decision and Control, 1
    Co-Authors: E. De Santis, Antonio Vicino
    Abstract:

    We consider the problem of robust stability of a MIMO feedback system in the presence of parametric perturbations. More specifically, we consider the case when the entries of the system transfer matrix are interval plants, i.e. transfer functions whose numerator and denominator are interval polynomials. Although it is clear that the special structure of this problem can be exploited in the general /spl mu/ analysis structured perturbations framework, nevertheless it turns out that even for relatively simple cases it may be difficult to obtain reliable bounds. In this paper we take a different approach to the problem. The basic tool used to assess robust stability is a sufficient condition for stability, known as 'Diagonal Dominance' condition, which is nevertheless much easier to check than the structured singular value condition. The paper shows that the robust Diagonal Dominance test can be carried out by plotting a finite number of frequency plots, a number of which correspond to extremal transfer functions of the transfer matrix, while others are obtainable by easy, analytic manipulations on the entries of the system matrix. >