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Analytical criterion on stabilization of fractional-order plants with interval uncertainties using fractional-order
1Department of Electrical Engineering and Automation, College of Light Industry, Liaoning University, Shenyang, 110036, PR China.
Abstract:
This paper proposes a stabilization criterion for a fractional-order plant involving interval uncertainties in the coefficients using fractional-order PDμ controller with a filter. The vertex functions of the value set corresponding to the characteristic function of the closed loop system are determined by the law of Minkowski sum. The finite test frequency interval is offered to simplify the calculation of the test for the stabilization. The analytical method to test the position relationship between the origin and the value set is investigated within the finite test frequency interval. Then, the stabilization criterion with an analytical method is provided based on the zero exclusion principle. Finally, three examples are given to verify the effectiveness of this criterion.
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