View article

This brief note considers the problem of stabilizing a first-order plant with dead-time using a fractional order proportional-integral-derivative (PID ^α ) controller. Fractional order controller provides good stability margin than the conventional PID controller. Here, the upper bound of K _d value is estimated first for all permissible value of α which is followed by computing the value of K _c . Further, the graphic results have been provided to clearly show the range of stabilizing PID ^α parameters [α, K _c , K _i and K _d ]. An example illustrates the applicability of the procedure.