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Guanghong Yang - One of the best experts on this subject based on the ideXlab platform.

  • fault detection Filter Design with adaptive mechanism for linear uncertain polytopic systems in finite frequency domains
    Iet Control Theory and Applications, 2016
    Co-Authors: Chongxiao Shi, Guanghong Yang
    Abstract:

    This study is concerned with the fault detection (FD) Filter Design Problem for linear uncertain polytopic systems in finite frequency domains. The H − / H ∞ FD scheme is applied to maximise the sensitivity of faults and minimise the effect of disturbances. By decomposing the unavailable state variables, a new adaptive mechanism is developed to Design the FD Filter with time-varying gains. Moreover, a tangent hyperplane technique is introduced to solve the non-convex Problem involved in H − performance, and the FD Filter Design conditions with some parameters fixed are then given in terms of linear matrix inequalities. Finally, the advantages and effectiveness of the proposed FD technique are illustrated through a numerical example.

  • Brief paper: Insensitive H∞ Filter Design for continuous-time systems with respect to Filter coefficient variations
    Automatica, 2010
    Co-Authors: Guanghong Yang, Xiang-gui Guo
    Abstract:

    This paper is concerned with the Problem of Designing insensitive H"~ Filters for linear continuous-time systems. Coefficient sensitivity functions of transfer functions with respect to Filter additive/multiplicative coefficient variations are defined, and the H"~ norms of the sensitivity functions are used to measure the sensitivity of the transfer functions with respect to additive Filter coefficient variations. In addition, in order to deal with the Filter Design Problem for the multiplicative Filter coefficient variation case, new measures based on the average of the sensitivity functions are also defined. Consequently, the insensitive H"~ Filter Design Problem is reduced to a multi-objective Filter Design Problem, which minimizes the coefficient's sensitivity and meets the prescribed H"~ norm constraint simultaneously. First, a novel method for Designing insensitive H"~ Filters subjected to additive Filter coefficient variations is given in terms of the linear matrix inequality (LMI) optimization techniques. Furthermore, based on the new sensitivity measures, the obtained results are extended to the multiplicative coefficient variation case. In addition, an indirect method for solving the multiplicative variations is also proposed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

  • A finite frequency approach to Filter Design for uncertain discrete-time systems
    International Journal of Adaptive Control and Signal Processing, 2008
    Co-Authors: Heng Wang, Guanghong Yang
    Abstract:

    This paper studies the Problem of finite frequency Filter Design for linear time-invariant discrete-time systems with polytopic uncertainties. Generalized Kalman–Yakubovich–Popov lemma is exploited to formulate the Filter Design Problem in finite frequency domain. A Design method is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed method. Copyright © 2007 John Wiley & Sons, Ltd.

  • h Filter Design for uncertain discrete time systems in finite frequency domain
    International Conference on Control Applications, 2007
    Co-Authors: Heng Wang, Guanghong Yang
    Abstract:

    This paper studies the Problem of finite frequency Hinfin Filter Design for linear time-invariant discrete-time systems with polytopic uncertainties. Generalized Kalman-Yakubovich-Popov (GKYP) lemma is exploited to formulate the Filter Design Problem in finite frequency domain. A Design method is presented in terms of solutions to a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

  • fault estimations for uncertain linear discrete time systems in low frequency domain
    American Control Conference, 2007
    Co-Authors: Heng Wang, Guanghong Yang
    Abstract:

    This paper studies the Problem of fault estimations for linear time-invariant discrete-time systems with polytopic uncertainties. Generalized Kalman-Yakubovich-Popov (GKYP) lemma is exploited to formulate the fault detection (FD) Filter Design Problem in low frequency domain. The Filter is Designed to make the error between residual and fault as small as possible. A Design method is presented in terms of solutions to a set of linear matrix inequalities(LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

Songjiao Shi - One of the best experts on this subject based on the ideXlab platform.

  • Design of H∞ robust fault detection Filter for linear uncertain time-delay systems
    ISA transactions, 2006
    Co-Authors: Leishi Bai, Zuohua Tian, Songjiao Shi
    Abstract:

    Abstract In this paper, the robust fault detection Filter Design Problem for linear time-delay systems with both unknown inputs and parameter uncertainties is studied. Using a multiobjective optimization technique, a new performance index is introduced, which takes into account the robustness of the fault detection Filter against disturbances and sensitivity to faults simultaneously. The reference residual model is then Designed based on this performance index to formulate the robust fault detection Filter Design Problem as an H∞ model-matching Problem. By applying robust H∞ optimization control technique, the existence condition of the robust fault detection Filter for linear time-delay systems with both unknown inputs and parameter uncertainties is presented in terms of linear matrix inequality formulation, independently of time delay. In order to detect the fault, an adaptive threshold which depends on the inputs is finally determined. An illustrative Design example is used to demonstrate the validity of the proposed approach.

Mohamed Darouach - One of the best experts on this subject based on the ideXlab platform.

  • H∞ Filter Design for a class of nonlinear discrete-time singular systems
    International Journal of Control, 2013
    Co-Authors: Mohamed Darouach, Latifa Boutat-baddas, Mohamed Zerrougui
    Abstract:

    This paper deals with the H∞ Filter Design Problem for a class of discrete-time Lipschitz nonlinear singular systems. The approach is based on the parameterisation of the obtained algebraic constraints from the estimation errors. Sufficient conditions for the existence of the Filters which guarantee stability and the worst case Filter error energy over all bounded energy disturbances is minimised are given. The method also unifies the Design for the full-order, reduced-order, minimal-order Filters for discrete- time systems. The presented results are less conservative than those existing in the literature, this is due to the introduction of new slack variables. Application to systems with unknown input is presented via a numerical example.

  • H_inf observers Design for a class of nonlinear singular systems
    Automatica, 2011
    Co-Authors: Mohamed Darouach, Latifa Boutat-baddas, Mohamed Zerrougui
    Abstract:

    The present paper is devoted to the H_inf observer or Filter Design Problem for a class of Lipschitz nonlinear singular systems. The approach is based on the parameterization of the obtained algebraic constraints from the estimation errors. Sufficient conditions for the existence of the observers which guarantee stability and the worst case observers error energy over all bounded energy disturbances is minimized are given. The method also unifies the Design for the full-order, reduced-order, minimal-order observers for continuous time systems. It can be seen that the obtained conditions when applied to linear systems are also necessary. A numerical example is given to show the applicability of our results.

  • Design of robust H_inf reduced-order-unknown-input Filter for a class of uncertain linear neutral systems
    IEEE Transactions on Automatic Control, 2010
    Co-Authors: Adil Alif, Mohamed Darouach, Mohamed Boutayeb
    Abstract:

    The aim of this work is to generalize some existing results dealing with the unbiased H_inf Filtering for dynamical systems. In particular, we consider reduced-order Filtering for a large class of uncertain linear neutral systems subject to unknown inputs and external disturbances. Our purpose consists in ensuring both: the total decoupling with respect to the unknown inputs and minimization of the external disturbances effects using the H_inf criterion. Both cases of known and unknown delay are considered. Sufficient conditions for the existence and the stability of the proposed Filters are derived. Finally, we succeed in transforming the Filter Design Problem into the feasibility of some reduced-order linear matrix inequalities. Theoretical and numerical comparisons with others important works are provided to show the effectiveness of the obtained results.

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

  • Design of H∞ robust fault detection Filter for linear uncertain time-delay systems
    ISA transactions, 2006
    Co-Authors: Leishi Bai, Zuohua Tian, Songjiao Shi
    Abstract:

    Abstract In this paper, the robust fault detection Filter Design Problem for linear time-delay systems with both unknown inputs and parameter uncertainties is studied. Using a multiobjective optimization technique, a new performance index is introduced, which takes into account the robustness of the fault detection Filter against disturbances and sensitivity to faults simultaneously. The reference residual model is then Designed based on this performance index to formulate the robust fault detection Filter Design Problem as an H∞ model-matching Problem. By applying robust H∞ optimization control technique, the existence condition of the robust fault detection Filter for linear time-delay systems with both unknown inputs and parameter uncertainties is presented in terms of linear matrix inequality formulation, independently of time delay. In order to detect the fault, an adaptive threshold which depends on the inputs is finally determined. An illustrative Design example is used to demonstrate the validity of the proposed approach.

Maiying Zhong - One of the best experts on this subject based on the ideXlab platform.

  • brief an lmi approach to Design robust fault detection Filter for uncertain lti systems
    Automatica, 2003
    Co-Authors: Maiying Zhong, Steven X. Ding, J. Lam, Haibo Wang
    Abstract:

    In this paper, the robust fault detection Filter Design Problem for uncertain linear time-invariant (LTI) systems with both unknown inputs and modelling errors is studied. The basic idea of our study is to use an optimal residual generator (assuming no modelling errors) as the reference residual model of the robust fault detection Filter Design for uncertain LTI systems with modelling errors and, based on it, to formulate the robust fault detection Filter Design as an H"~ model-matching Problem. By using some recent results of H"~ optimization, a solution of the optimization Problem is then presented via a linear matrix inequality (LMI) formulation. The main results include the development of an optimal reference residual model, the formulation of robust fault detection Filter Design Problem, the derivation of a sufficient condition for the existence of a robust fault detection Filter and a construction of it based on the LMI solution parameters, the determination of adaptive threshold for fault detection. An illustrative Design example is employed to demonstrate the effectiveness of the proposed approach.

  • Fault detection Filter Design for LTI system with time delays
    42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 1
    Co-Authors: Maiying Zhong, Steven X. Ding, J. Lam, Chenghui Zhang
    Abstract:

    This paper deals with the fault detection Filter Design Problem for linear time invariant time-delay systems with unknown input. The core of our study is to a) take the behavior of delayed state and measurement into consideration when the observer-based fault detection Filter is constructed; b) solve the formulated fault detection Filter Design Problem by combining of using the left eigenstructure assignment approach and H/sub /spl infin// optimization technique. Through a suitable choice of the Filter gain matrices and residual weighting matrix, the residual can be completely decoupled from the delay-free unknown input, while the influence of the delayed unknown input on residual is minimized in the sense of H/sub /spl infin// norm. Numerical simulation is used to illustrate the efficiency of the proposed method.

  • ICARCV - Multi-freedom Design of fault detection Filter for linear time-delay systems
    ICARCV 2004 8th Control Automation Robotics and Vision Conference 2004., 1
    Co-Authors: Maiying Zhong, Guizeng Wang
    Abstract:

    This paper deals with the fault detection Filter Design Problem for linear time invariant time-delay systems with unknown input. The core of our study is to a) take the behavior of delayed state and measurement into consideration when the observer-based fault detection Filter is constructed; b) solve the formulated fault detection Filter Design Problem by combining of using the left eigenstructure assignment approach and H/sub /spl infin// optimization technique. Through a suitable choice of the Filter gain matrices and residual weighting matrix, the residual can be completely decoupled from the delay-free unknown input, while the influence of the delayed unknown input on residual is minimized in the sense of H/sub /spl infin// norm. Numerical simulation is used to illustrate the efficiency of the proposed method.