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In this paper, we present a new approach to the design of Proportional-Integral (PI) controllers. The focus is on a simultaneous achievement of the design specifications most often required in applications. These are a) gain margin, b) phase margin, and c) gain crossover frequency. To accomplish this, we develop a set of design curves in the gain and phase margin plane, indexed by gain crossover frequencies...
This paper presents a new approach to the design of continuous-time first order controllers of the type C(s) = (x1s + x2)/(s + x3) and the special case, Proportional-Integral (PI) controller, when x3 = 0, C(s) = (x1s + X2)/s, respectively. The objective is to determine the x1, x2, and x3 gains to satisfy a desired crossover frequency and closed-loop stability gain and phase margins. The design procedure...
This paper presents a new approach to the design of digital Proportional-Integral-Derivative (PID) controllers. The objective is to determine the PID gains to satisfy a desired crossover frequency and closed-loop stability margins. The design procedure is based on a simple parametrization consisting of ellipses and straight lines which represent constant magnitude and constant phase loci in the space...
In this paper we describe a new approach to the design of digital Proportional-Integral (PI) controllers. The approach consists of first parametrizing constant magnitude and constant phase loci in the space of controller gains. These loci consist of ellipses and straight lines respectively. The set of stabilizing controllers S is then computed using methods described in [1]. The final step is to specify...
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