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A unified graphical approach for a PID controller design with a Smith predictor
Alrishan, Abdulkarim
Alrishan, Abdulkarim
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2022-12
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Electronic dissertations
Electronic dissertations
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Abstract
This dissertation will extend the graphical method to the unified domain to design a PID
controller augmented with a Smith predictor so that the closed loop system with deadtime meets
nominal stability (NS), nominal performance (NP), robust stability (RS) and robust performance
(RP) design requirements. Next, this research will report on the effects of the presence of a
feedback path transfer function on the analysis and the design of a PID controller with a Smith
predictor to ensure that the closed loop system will meet nominal performance and robust stability
and performance design conditions. This includes the study of parameter uncertainty in the
feedback transfer function dynamics on the sensitivity and complementary sensitivity transfer
functions for robust stability and robust performance design requirements Finally, the dissertation
will provide the general solutions for different PID controller configurations for nominal stability,
nominal performance, robust stability and robust performance.
A Smith predictor is often used when designing a controller for a system that exhibits
“relatively” large delay that may cause the system’s stability margins and/or performance to
deteriorate. The inclusion of a Smith predictor along with a PID controller can significantly
improve stability margins and/or performance when compared to systems relying solely on a PID
controller. The improvement can be observed in terms of the expansion of the ranges of the PID
controller gains even if there is a mismatch between the actual system model and its corresponding
Smith predictor model.
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Thesis (Ph.D.)-- Wichita State University, College of Engineering, Dept. of Electrical and Computer Engineering
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Wichita State University
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© Copyright 2022 by Abdulkarim M. Alrishan
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