In this work we developed a comparative study between many resolution methods of the exponential matrix from an inequality extracted from a specific Liapunov function to obtain information about some stability regions for sampled-data control systems as a function of the sampling-time and the plant used. We used many methods from the literature like: power series, Cayley-Hamilton theorem, Lagrange-Sylvester theorem, eigenvalues/ eigenvectors decomposition and Padé rational approximation. The main objective of this study is to choose the most appropriate method for the resolution of this important problem and to use the results found as a basis for future works.


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    Title :

    Stability/Instability Regions for Sampled-Data Control Systems as a function of the Sampling Period and the Plant Obtained from a Liapunov Function


    Additional title:

    Sae Technical Papers



    Conference:

    SAE Brasil 2005 Congress and Exhibit ; 2005



    Publication date :

    2005-11-22




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English








    Sampling-Period Influence in Performance and Stability in Sampled-Data Control Systems

    Tredinnick, M. R. A. C. / Silveira, M. A. / Souza, M. L. O. et al. | British Library Conference Proceedings | 2003