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Ron J Patton - One of the best experts on this subject based on the ideXlab platform.

  • A robust LPV fault detection approach using parametric Eigenstructure Assignment
    Proceedings of 2012 UKACC International Conference on Control, 2012
    Co-Authors: Ron J Patton
    Abstract:

    In this paper, an Eigenstructure Assignment fault detection approach to linear time invariant (LTI) systems is extended to Linear Parameter Varying (LPV) systems. Fault detection filter design algorithms using Eigenstructure Assignment have been widely studied for LTI systems. However, LPV strategies are very useful for systems which have no unique equilibrium and are difficult to linearize. The parametric Eigenstructure Assignment approach is used to design an observer as a residual generator by viewing the varying parameters as fixed parameters in the design procedure. The residual observer feedback structure is implemented using a measured scheduling parameter An example is given of actuator fault detection of a two-link manipulator system.

  • On Eigenstructure Assignment for robust fault diagnosis
    International Journal of Robust and Nonlinear Control, 2000
    Co-Authors: Ron J Patton, Jie Chen
    Abstract:

    This paper presents a theoretical and tutorial treatment of the Eigenstructure Assignment approach for robust fault detection. The principles, existence conditions and design procedures are presented. The main contribution of the paper is the development of the Assignment of right observer eigenvectors for robust residual generation. When some of the observer right eigenvectors are assigned parallel to the disturbance distribution directions, the diagnostic residual generated by the observer is insensitive to disturbances. Robust fault-detection design can be achieved by either left or right eigenvector Assignment method. For left eigenvector Assignment method, the sufficient conditions are presented. For right eigenvector Assignment method, both necessary and sufficient conditions are proposed. Finally, two numerical examples are used to illustrate the Eigenstructure Assignment methods studied in the paper. Copyright © 2000 John Wiley & Sons, Ltd.

  • Insensitive and robust control design via output feedback Eigenstructure Assignment
    International Journal of Robust and Nonlinear Control, 2000
    Co-Authors: Guo-ping Liu, Ron J Patton
    Abstract:

    Insensitive and robust control design using output-feedback Eigenstructure Assignment for linear multivariable systems is considered in this paper. A parametric expression of closed-loop eigenvectors and generalized eigenvectors is developed. It can cope with the case where the closed-loop eigenvalues are multiple and/or the same as the open-loop ones so that the system to be designed can be uncontrollable and/or unobservable. The controller designed via output-feedback Eigenstructure Assignment is expressed by proposed parameter vectors. The freedom provided by output-feedback Eigenstructure Assignment is used to optimize some performance functions which are used to measure the sensitivity of the closed-loop matrix and the robustness of the closed-loop system. Copyright © 2000 John Wiley & Sons, Ltd.

  • Mixed time- and frequency-domain robust Eigenstructure Assignment
    International Journal of Systems Science, 2000
    Co-Authors: Guo-ping Liu, Guang-ren Duan, Ron J Patton
    Abstract:

    This paper considers robust Eigenstructure Assignment for multivariable systems. The time-domain performance specifications provided by Eigenstructure Assignment and robust performance specifications in the frequency domain considered by H infinity control are combined to realize joint optimal robust control design. A parametric expression for state-feedback Eigenstructure Assignment is introduced on the basis of a set of free parameters. The mixed performance index used as the cost function consists of two parts: robustness in the frequency domain; and system Eigenstructure constraints in the time domain. The analytical gradient calculation of the cost function with respect to the free parameters is derived for optimal robust Eigenstructure Assignment using gradientbased optimization. The mixed time- and frequency-domain robust Eigenstructure Assignment is demonstrated in the design of a mode-decoupled roll-yaw autopilot.

  • Eigenstructure Assignment for Control System Design
    1998
    Co-Authors: Ron J Patton
    Abstract:

    From the Publisher: Focuses on Eigenstructure Assignment -- a system design method used in control engineering. Specifically, Eigenstructure Assignment techniques are widely used in the design of linear, time-invariant multivariable control systems. Eigenvalues are the principal factors that govern the stability of the system and the rates of decay of the various portions of the system dynamic response.

Guo-ping Liu - One of the best experts on this subject based on the ideXlab platform.

  • Insensitive and robust control design via output feedback Eigenstructure Assignment
    International Journal of Robust and Nonlinear Control, 2000
    Co-Authors: Guo-ping Liu, Ron J Patton
    Abstract:

    Insensitive and robust control design using output-feedback Eigenstructure Assignment for linear multivariable systems is considered in this paper. A parametric expression of closed-loop eigenvectors and generalized eigenvectors is developed. It can cope with the case where the closed-loop eigenvalues are multiple and/or the same as the open-loop ones so that the system to be designed can be uncontrollable and/or unobservable. The controller designed via output-feedback Eigenstructure Assignment is expressed by proposed parameter vectors. The freedom provided by output-feedback Eigenstructure Assignment is used to optimize some performance functions which are used to measure the sensitivity of the closed-loop matrix and the robustness of the closed-loop system. Copyright © 2000 John Wiley & Sons, Ltd.

  • Mixed time- and frequency-domain robust Eigenstructure Assignment
    International Journal of Systems Science, 2000
    Co-Authors: Guo-ping Liu, Guang-ren Duan, Ron J Patton
    Abstract:

    This paper considers robust Eigenstructure Assignment for multivariable systems. The time-domain performance specifications provided by Eigenstructure Assignment and robust performance specifications in the frequency domain considered by H infinity control are combined to realize joint optimal robust control design. A parametric expression for state-feedback Eigenstructure Assignment is introduced on the basis of a set of free parameters. The mixed performance index used as the cost function consists of two parts: robustness in the frequency domain; and system Eigenstructure constraints in the time domain. The analytical gradient calculation of the cost function with respect to the free parameters is derived for optimal robust Eigenstructure Assignment using gradientbased optimization. The mixed time- and frequency-domain robust Eigenstructure Assignment is demonstrated in the design of a mode-decoupled roll-yaw autopilot.

  • ECC - Disturbance decoupling in linear systems via dynamical compensators — A parametric Eigenstructure Assignment approach
    1999 European Control Conference (ECC), 1999
    Co-Authors: G R Duan, George W. Irwin, Guo-ping Liu
    Abstract:

    This paper proposes a simple method for disturbance decoupling in multivariable linear systems via dynamical output compensators based on complete parametric Eigenstructure Assignment. By establishing a sufficient and necessary condition for disturbance decoupling in linear systems via dynamical compensators in terms of the closed-loop eigenvalues and the two groups of design parameters provided by the Eigenstructure Assignment approach, the problem is converted into an Eigenstructure Assignment problem with an extra parameter constraint. A simple algorithm is proposed, which gives both closed-loop stability and the desired dynamical performance.

  • Generic parametric controller design using output feedback Eigenstructure Assignment
    Proceedings of the Institution of Mechanical Engineers Part I: Journal of Systems and Control Engineering, 1998
    Co-Authors: Guo-ping Liu, Ron J Patton
    Abstract:

    AbstractThis paper is concerned with generic parametric controller design via output-feedback Eigenstructure Assignment for linear multivariable systems. A new parametric expression of closed-loop eigenvectors and generalized eigenvectors is developed for both real eigenvalue and complex-conjugate eigenvalue cases. It also considers the case where the closed-loop eigenvalues are multiple and/or the same as the open-loop ones so that the system to be designed can be uncontrollable and/or unobservable. The controller designed via output-feedback Eigenstructure Assignment is expressed by new proposed parameter vectors. The freedom provided by output-feedback Eigenstructure Assignment is used to optimize a performance function which is used to measure the sensitivity of the closed-loop system matrix.

  • Robust control design of descriptor systems using Eigenstructure Assignment
    UKACC International Conference on Control (CONTROL '98), 1998
    Co-Authors: Guo-ping Liu, Ron J Patton
    Abstract:

    The robust control design of descriptor systems using Eigenstructure Assignment is presented in this paper. It considers both the desired closed-loop eigenvalue Assignment in the time domain and the minimization of a robustness index in the frequency domain so that the time- and frequency-domain performance specifications are combined in the controller design. An explicit parametric solution for Eigenstructure Assignment for multivariable descriptor systems is derived by considering both analytical expression and numerical computation. It provides a very useful parametric formulation for optimal robust control design. The robustness index is minimized by making full use of the freedom provided by explicit parametric Eigenstructure Assignment.

G R Duan - One of the best experts on this subject based on the ideXlab platform.

  • parametric Eigenstructure Assignment via output feedback based on singular value decompositions
    IEE Proceedings - Control Theory and Applications, 2003
    Co-Authors: G R Duan
    Abstract:

    Eigenstructure Assignment in multivariable linear systems via output feedback is investigated. Three problems are proposed that are related to a type of generalised Sylvester matrix equations. By proposing a general complete parametric solution to this type of generalised Sylvester matrix equations based on singular value decompositions, a general complete parametric approach is presented for the proposed Eigenstructure Assignment problems. General parametric expressions for both the closed-loop eigenvector matrices and the output feedback gain are established in terms of certain parameter vectors. These parameter vectors provide the design degrees of freedom and can be utilised to achieve desired specifications. Based on the proposed results and the Matlab Optimisation Toolbox, a Matlab file is created, which finds a solution that gives minimum closed-loop eigenvalue sensitivities for the problem of Eigenstructure Assignment via output feedback.

  • parametric Eigenstructure Assignment via output feedback based on singular value decompositions
    Conference on Decision and Control, 2001
    Co-Authors: G R Duan
    Abstract:

    The paper investigates Eigenstructure Assignment in multivariable linear systems via output feedback. Three problems are proposed and are related to a type of generalized Sylvester matrix equations. By proposing a general complete parametric solution to this type of generalized Sylvester matrix equations based on singular value decompositions, a general complete parametric approach is then presented for the proposed Eigenstructure Assignment problems. General parametric expressions for both the closed-loop eigenvector matrices and the output feedback gain are established in terms of certain parameter vectors. These parameter vectors provide the design degrees of freedom and can be utilized to achieve some desired specifications. Based on the proposed results and the Matlab Optimization Toolbox, a Matlab file is created, which finds a solution that gives minimum closed-loop eigenvalue sensitivities for the problem of Eigenstructure Assignment via output feedback.

  • ECC - Disturbance decoupling in linear systems via dynamical compensators — A parametric Eigenstructure Assignment approach
    1999 European Control Conference (ECC), 1999
    Co-Authors: G R Duan, George W. Irwin, Guo-ping Liu
    Abstract:

    This paper proposes a simple method for disturbance decoupling in multivariable linear systems via dynamical output compensators based on complete parametric Eigenstructure Assignment. By establishing a sufficient and necessary condition for disturbance decoupling in linear systems via dynamical compensators in terms of the closed-loop eigenvalues and the two groups of design parameters provided by the Eigenstructure Assignment approach, the problem is converted into an Eigenstructure Assignment problem with an extra parameter constraint. A simple algorithm is proposed, which gives both closed-loop stability and the desired dynamical performance.

  • Disturbance decoupling in descriptor systems via output feedback-a parametric Eigenstructure Assignment approach
    Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 1
    Co-Authors: G R Duan, Guo-ping Liu, S. Thompson
    Abstract:

    Based on a complete parametric approach for Eigenstructure Assignment in descriptor linear systems via output feedback, disturbance decoupling using output feedback in descriptor linear systems is investigated. Both the dynamical and static disturbance decoupling problems are tackled. Necessary and sufficient conditions for both problems are proposed in terms of the closed-loop eigenvalues and eigenvectors. By arranging these conditions into constraints on the design parameters provided by Eigenstructure Assignment, the disturbance decoupling problems are converted into Eigenstructure Assignment problems with extra parameter constraints. The approach guarantees closed-loop regularity, offers certain flexibility and can provide all the degrees of design freedom. An example is investigated to show the effect of the proposed approach.

Guang-ren Duan - One of the best experts on this subject based on the ideXlab platform.

  • Eigenstructure Assignment for linear parameter-varying systems with applications
    Mathematical and Computer Modelling, 2010
    Co-Authors: Guangbin Cai, Guang-ren Duan
    Abstract:

    The aim of this paper is to show that a recently proposed technique for Eigenstructure Assignment of linear time-invariant systems can be extended to solve the corresponding Eigenstructure Assignment problem for linear parameter-varying systems, whose state-space matrices depend on a set of time-varying parameters that are bounded and available online. In particular, the design of Eigenstructure Assignment is performed without requiring any conditions on the closed-loop eigenvalues, and provides a simple, complete and analytical parametric approach as well as the most degrees of design freedom for the Eigenstructure Assignment problem of linear parameter-varying systems. A parameter-varying attitude control system of refueling spacecraft in-orbit is used to demonstrate the usefulness and practicality of the proposed approach.

  • parametric Eigenstructure Assignment in second order descriptor linear systems
    IEEE Transactions on Automatic Control, 2004
    Co-Authors: Guang-ren Duan
    Abstract:

    This note considers Eigenstructure Assignment in second-order descriptor linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed Eigenstructure Assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable. The second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches.

  • Mixed time- and frequency-domain robust Eigenstructure Assignment
    International Journal of Systems Science, 2000
    Co-Authors: Guo-ping Liu, Guang-ren Duan, Ron J Patton
    Abstract:

    This paper considers robust Eigenstructure Assignment for multivariable systems. The time-domain performance specifications provided by Eigenstructure Assignment and robust performance specifications in the frequency domain considered by H infinity control are combined to realize joint optimal robust control design. A parametric expression for state-feedback Eigenstructure Assignment is introduced on the basis of a set of free parameters. The mixed performance index used as the cost function consists of two parts: robustness in the frequency domain; and system Eigenstructure constraints in the time domain. The analytical gradient calculation of the cost function with respect to the free parameters is derived for optimal robust Eigenstructure Assignment using gradientbased optimization. The mixed time- and frequency-domain robust Eigenstructure Assignment is demonstrated in the design of a mode-decoupled roll-yaw autopilot.

  • State feedback Eigenstructure Assignment with minimum control effort
    Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788), 1
    Co-Authors: Guosheng Wang, Guang-ren Duan
    Abstract:

    State feedback Eigenstructure Assignment with minimum control effort in time-invariant, linear systems is investigated. Based on a parametric method for state feedback Eigenstructure Assignment in linear systems, a very simple algorithm for this problem is derived. Due to the simplicity, explicitly and completeness of the state feedback Eigenstructure Assignment result, the proposed algorithm is very simple and efficient. An illustrative example shows the effect of this proposed algorithm.

  • ICARCV - Multiobjective control synthesis based on parametric Eigenstructure Assignment
    ICARCV 2004 8th Control Automation Robotics and Vision Conference 2004., 1
    Co-Authors: Guang-ren Duan
    Abstract:

    In virtue of the modified bounded real lemma (BRL), multi-objective control synthesis based on parametric Eigenstructure Assignment in linear systems is considered. By applying the degrees of design freedom provided by Eigenstructure Assignment in linear systems, a state feedback controller is designed such that the closed-loop system satisfies H/sub /spl infin//-norm bound constraints on disturbance attenuation and pole constraints. The proposed design method is formulated in terms of linear matrix inequality (LMI) which can be easily solved by the MATLAB LMI toolbox. An example demonstrates the effect of the proposed design approach.

Thomas Owens - One of the best experts on this subject based on the ideXlab platform.