A computational approach is proposed to solve the minimum norm or robust pole assignment problem for linear periodic discrete-time systems. The proposed approach uses a periodic Sylvester-equation-based parametrization of the periodic pole assignment problem and exploits the nonuniqueness of the problem by imposing conditions on the norm of the resulting periodic state feedback or on the condition numbers of the periodic eigenvector matrices of the closed-loop system. The solution method relies on using gradient search methods on suitably defined cost functions. Explicit expression of the gradients of cost functions are derived, and the efficient evaluation of the cost functions and gradients is discussed. Numerical examples illustrate the effectiveness of the proposed approach.


    Access

    Download


    Export, share and cite



    Title :

    Robust and Minimum Norm Pole Assignment with Periodic State Feedback


    Contributors:
    Varga, A. (author)

    Published in:

    Publication date :

    2000


    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Robust pole assignment techniques via state feedback

    Varga, Andras | German Aerospace Center (DLR) | 2000

    Free access

    Robust Pole Assignment via Sylvester Equation Based State Feedback Parametrization

    Varga, Andras | German Aerospace Center (DLR) | 2000

    Free access

    Robust pole assignment for descriptor systems

    Varga, Andras | German Aerospace Center (DLR) | 2000

    Free access

    Robust, low norm multirate control using eigenstructure assignment

    Patel, Y. / Patton, R.J. / Burrows, S.P. | Tema Archive | 1991