Maximum Exponential Decay Rate for First-Order Time-Delay Systems with PI Controllers
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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. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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