Mapping Controllers from the S-domain to the Z-domain Using Magnitude Invariance and Phase Invariance Methods
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چکیده
I have examined the final copy of this Thesis for form and content and recommend that it be accepted in partial fulfillment of the requirement for the degree of Master of Science with a major in Electrical and Computer Engineering. iv ACKNOWLEDGMENTS I would like to thank my advisor, Dr. John Watkins, for his thoughtful, patient guidance and continuous wholehearted support. I would also like to extend my gratitude to the thesis committee members, Dr. Paarmann and Dr. Driessen. Last but not the least, I take this opportunity to thank my family and all my friends who helped me in successful completion of this thesis. v ABSTRACT Design by emulation has been widely used in the field of control systems. Design by emulation is a process where initially a continuous time controller is designed to achieve desired closed loop specifications. This continuous time controller is then mapped to a digital equivalent using a suitable mapping technique. Methods traditionally used for this mapping include forward rectangular rule, bilinear rule and zero-pole matching. We are presenting a new approach for mapping a continuous time controller to a discrete time controller. This approach, unlike any of the traditional mapping method, produces a discrete time transfer function with a magnitude response or phase response nearly the same as its analog prototype. To achieve this objective we are using the Magnitude Invariance Method (MIM) and Phase Invariance Method (PIM) that were recently developed in the field of signal processing. The frequency responses and the step responses of the closed loop systems obtained using this approach are systematically investigated to evaluate the effectiveness of these mapping techniques.
منابع مشابه
Mapping Controllers from the S - Domain to the Z - Domain Using Magnitude Invariance and Phase Invariance
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تاریخ انتشار 2007