Zhe Gao, Li-Rong Zhai and Yan-Dong Liu. Robust Stabilizing Regions of Fractional-order PIλ Controllers for Fractional-order Systems with Time-delays. International Journal of Automation and Computing, vol. 14, no. 3, pp. 340-349, 2017. DOI: 10.1007/s11633-015-0941-7
Citation: Zhe Gao, Li-Rong Zhai and Yan-Dong Liu. Robust Stabilizing Regions of Fractional-order PIλ Controllers for Fractional-order Systems with Time-delays. International Journal of Automation and Computing, vol. 14, no. 3, pp. 340-349, 2017. DOI: 10.1007/s11633-015-0941-7

Robust Stabilizing Regions of Fractional-order PIλ Controllers for Fractional-order Systems with Time-delays

  • This study focuses on a graphical approach to determine the robust stabilizing regions of fractional-order PIλ(proportional integration) controllers for fractional-order systems with time-delays. By D-decomposition technique, the existence conditions and calculating method of the real root boundary (RRB) curves, complex root boundary (CRB) curves and infinite root boundary (IRB) lines are investigated for a given stability degree. The robust stabilizing regions in terms of the RRB curves, CRB curves and IRB lines are identified by the proposed criteria in this paper. Finally, two illustrative examples are given to verify the effectiveness of this graphical approach for different stability degrees.
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