Design of dominant-type control systems with large parameter variations†

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Abstract
This paper presents a design procedure for dominant-type systems with large plant parameter variations. The principal contribution is that a fourth-order approximation is used in the dominant region instead of a third-order, which up to now had been the most advanced method. The s-domain specifications of the system are assumed to be in the form of an acceptable dominant closed-loop pole region with bounds on the location of the ‘far-off’ closed-loop poles. The design philosophy is to place compensation zeros within the acceptable dominant closed-loop pole region such that the dominant closed-loop poles remain within their prescribed region despite the large variation in the plant parameters. The design procedure is for plants with simultaneous independent variation in the gain factor and a pair of poles. The design is such as to minimize the sensitivity of the system to internal noise.

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