Non-fragile Pid Stabilizing Controller on Second-order Systems with Time Delay
نویسندگان
چکیده
Based on an extension of the Hermite-Biehler Theorem to the quasipolynomial stability problem, this paper studies the problem of stabilizing a second-order plant with dead time via a PID controller. The region in PID parameters space for the closed-loop stability is given. For a feasible proportional gain ( p k ), the region of all the admissible integral gains ( i k ) and derivative gains ( d k ) is a convex polygon. The PID controller design is formulated as a convex optimization problem of load disturbance rejection with constraints on stability and non-fragility, which can be solved by using existing linear programming techniques. Copyright © 2003 IFAC
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