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This paper provides a design method for two-degrees-of-freedom I-PD (2DOF-I-PD) controllers including a switched PD compensator based on bilinear matrix inequalities (BMIs). Two design specifications based on the H2 norm are formulated in BMIs, and PID parameters can be exactly obtained by solving the BMI problems via branch and bound algorithms. A...
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Context 1
... paper deals with the discrete-time model (3) as the controlled object instead of the continuous-model (1). Next, consider the control system represented by the I- PD controller with two-degrees-of-freedom in Fig.1, where r(t) and e(t) refer to the reference signal and the control error, respectively. ...
Context 2
... these evaluation measures result in the optimization problem which is represented by matrix inequalities. First, we consider the error transfer function of the control system in Fig.1. In order to evaluate the tracking property for the step reference signal, E r (z −1 ) is defined as the transfer function from r(t) to e(t). ...
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Citations
... Based on extended Hermite -Biehler theorems, a robust stability PID controller is put forward for a secondorder plus time delay (SOPTD) plant in [17]. In [18], Jun Aoyama adopts a bilinear matrix inequalities (BMIs) method for devising a TDF of robust PID controller. In [19], a robust PID controller is posed by using fuzzy neural network (FNN) training method, which takes the robust gain margin and phase margin (GMPM) specifications into account. ...
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