Maximum exponential decay rate for first order time delay systems with PI controllers
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abstract
This paper focuses on the characterization of the maximum exponential decay rate for first-order time-delay systems in closed-loop with PI controllers. Studying the geometry of the stability domain associated with the closed-loop system at hand, a fully analytical tuning rule is derived to achieve an optimal response in terms of velocity of the output response. The effectiveness of the proposed approach is illustrated via numerical simulations.