Mapping a controller from the s-domain to z-domain using Magnitude Invariance Method (MIM).
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Vadhavkar, Prathamesh R., Watkins, John M. & Paarmann, Larry D.(2007). Mapping a controller from the s-domain to z-domain using Magnitude Invariance Method (MIM). In Proceedings : 3rd Annual Symposium : Graduate Research and Scholarly Projects. Wichita, KS : Wichita State University, p.199-200
Abstract
We are presenting a new approach for mapping a continuous time controller to a discrete time controller. Methods traditionally used for this mapping include forward rectangular rule, bilinear rule and zero-pole matching. This approach, unlike these other methods, produces a discrete time transfer function with a magnitude response exactly same as its analog prototype. To achieve this objective we are using the Magnitude Invariance Method (MIM) which was recently developed in the field of signal processing. The step and frequency responses of the closed loop systems obtained using this approach will be systematically investigated to evaluate the effectiveness of this mapping.
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Research completed at the Department of Electrical and Computer Engineering, College of Engineering