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This paper is aimed at looking into the PID control design of systems with large time-delay. In a preliminary step, the system is modeled by a time-delay second order model. Time constants of the PID controller are determined on the basis of the obtained model using the pole compensation technique. The PID proportional gain results from the minimization of the settling time by the use of genetic algorithms...
In this paper, we provide a new delay-dependent stabilization scheme for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) Hinfin feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterizations for proportional-integral-derivative...
This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order PllambdaDmu controllers. It is based on determining a set of global stability regions in the (kp, Ki, Kd)-space corresponding to the fractional orders lambda and mu in the range of (0, 2) and then choosing the biggest global stability region in this set. This...
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