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This note focuses on the design of a delay-based proportional integral (PI) control scheme, proposed as an alternative to the classical PI controller. By adopting a geometric approach, we establish tuning rules to achieve closed-loop stability, ensure a specific decay rate, and assess its fragility. Specifically, through the appropriate design of the delay parameter, the proposed controller facilitates improvement in settling time and reduction of overshoot, while maintaining control efforts lower than its classical counterpart. We present several numerical examples to illustrate the effectiveness of the proposed scheme. Copyright © 2024 The Authors.
Control of linear systems; Delay-based controllers; PID control; Stability Closed loop control systems; Control system stability; Delay control systems; Linear control systems; Three term control systems; Two term control systems; Control of linear system; Control schemes; Delay-based controller; Geometric approaches; LTI systems; Proportional integral; Proportional integral controllers; Proportional-integral control; Second orders; Tuning rules; Proportional control systems
Design of Delay-based Proportional Integral Controllers (δ-PI) for Second-order LTI Systems
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