Abstract

In quantitative feedback theory (QFT) the plant uncertainty is defined by a set P = {P} ofpossible plants. The problem is to guarantee that the system response is in a specified acceptable set A, for all P in P. QFT has been developed for large classes of plants imbedded in continuous feedback structures. This paper extends QFT to sampled-data structures. A central problem is to find the minimum sampling frequency (ωs)min needed. The greater the plant uncertainty and the narrower the performance tolerances, the larger must ( ωs)min be. The detailed design procedure parallels very closely that for continuous systems, by using the complex variable w, which maps the unit circle in the z-domain to the imaginary axis in the w-domain.

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