Multivariable fractional order PID controller design via LMI approach

Abstract In this paper, we study the design problem of multivariable fractional-order (FO) PID controllers which guarantee the stability of the FO closed-loop systems. The idea is to transform the problem of FO PID controller design to that of static output feedback (SOF) controller design for an FO system in descriptor form. In terms of linear matrix inequalities, the PID gains can be found once the SOF matrix is obtained. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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