Feedback Gain

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Zongli Lin - One of the best experts on this subject based on the ideXlab platform.

  • set invariance conditions for singular linear systems subject to actuator saturation
    IEEE Transactions on Automatic Control, 2007
    Co-Authors: Zongli Lin
    Abstract:

    In this note, we establish a set of conditions under which an ellipsoid is contractively invariant with respect to a singular linear system under a saturated linear Feedback. These conditions can be expressed in terms of linear matrix inequalities, and the largest contractively invariant ellipsoid can be determined by solving an optimization problem with LMI constraints. With the Feedback Gain viewed as an additional variable, this optimization problem can be readily adapted for the design of Feedback Gain that results in the largest contractively invariant ellipsoid. Moreover, in the degenerate case where the singular linear system reduces to a regular system, our set invariance conditions reduce to the existing set invariance conditions for normal linear systems.

  • set invariance conditions for singular linear systems subject to actuator saturation
    Chinese Control Conference, 2006
    Co-Authors: Zongli Lin
    Abstract:

    In this paper, we establish a set of conditions under which an ellipsoid is contractively invariant with respect to a singular linear system under a saturated linear Feedback. These conditions can be expressed in terms of linear matrix inequalities, and the largest constrictively invariant ellipsoid can be determined by solving an optimization problem with LMI constraints. By viewing the Feedback Gain as an additional variable, this optimization problem can be readily adapted for the design of Feedback Gain that results in the largest contractively invariant ellipsoid. Moreover, in the degenerate case where the singular linear system reduces to a regular system, our set invariance conditions reduce to the existing set invariance conditions for normal linear systems.

Hakan Koroglu - One of the best experts on this subject based on the ideXlab platform.

  • distributed lpv state Feedback control under control input saturation
    IEEE Transactions on Automatic Control, 2017
    Co-Authors: Azita Dabiri, Balazs Kulcsar, Hakan Koroglu
    Abstract:

    Developed in this note is a scheduled state-Feedback controller synthesis method for discrete-time Linear Parameter Varying (LPV) systems subjected to control input saturation constraints. The static state-Feedback Gain is scheduled with an exact replica of the parameter matrix. The saturation effect is modeled by introducing time-varying parameters as functions of the control inputs, which are also used to schedule the controller. The synthesis method is then specialized to distributed state-Feedback by imposing a particular structure on the Feedback Gain matrix. An explicit formula is also derived for the computation of the distributed control input from a nonlinear equation. The viability of the proposed method is tested in a simulation environment, for a ramp meter traffic flow control problem.

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

  • fuzzy state Feedback Gain scheduling control of servo pneumatic actuators
    Control Engineering Practice, 2004
    Co-Authors: Horst Schulte, H Hahn
    Abstract:

    The design of a new motion controller for pneumatic actuators using local linear models is described with an application to a two-way servo-pneumatic drive under a time variable vertical load. The dominant nonlinearities in the plant are the couplings between motion and pressure, pressure and flow rate, and the friction force. The control problem in this paper is to keep the accuracy of the position control independent of the payload and piston position. For each local linear model a state Feedback controller is derived. The final controller of the system is designed as a fuzzy Gain scheduler of the local state Feedback controllers. It is shown by experimental results that this controller is capable to handle the dominant nonlinearities of the plant and different payloads, which are kept constant during each experiment.

Azita Dabiri - One of the best experts on this subject based on the ideXlab platform.

  • distributed lpv state Feedback control under control input saturation
    IEEE Transactions on Automatic Control, 2017
    Co-Authors: Azita Dabiri, Balazs Kulcsar, Hakan Koroglu
    Abstract:

    Developed in this note is a scheduled state-Feedback controller synthesis method for discrete-time Linear Parameter Varying (LPV) systems subjected to control input saturation constraints. The static state-Feedback Gain is scheduled with an exact replica of the parameter matrix. The saturation effect is modeled by introducing time-varying parameters as functions of the control inputs, which are also used to schedule the controller. The synthesis method is then specialized to distributed state-Feedback by imposing a particular structure on the Feedback Gain matrix. An explicit formula is also derived for the computation of the distributed control input from a nonlinear equation. The viability of the proposed method is tested in a simulation environment, for a ramp meter traffic flow control problem.

Patrizio Colaneri - One of the best experts on this subject based on the ideXlab platform.