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The stability of feedback systems consisting of linear time-delay plants and PID controllers has been investigated for many years by means of several methods, of which the Nyquist criterion, a generalization of the Hermite-Biehler Theorem,…

Optimization and Control · Mathematics 2008-02-18 Gianpasquale Martelli

Time delays are components that make time-lag in systems response. They arise in physical, chemical, biological and economic systems, as well as in the process of measurement and computation. In this work, we implement Genetic Algorithm…

Systems and Control · Computer Science 2012-04-05 Andri Mirzal , Shinichiro Yoshii , Masashi Furukawa

We present a controller tuning strategy for first-order plus time delay (FOPTD) processes, where the time delay in the model is approximated using the Pad\'e function. Using Routh-Hurwitz stability analysis, we derive the gain that gives…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Clinton Enwerem , Ihechiluru Okoro

The response to a setpoint change in PID controlled feedback systems plays an important role for the tuning methods. This response may be easily evaluated in linear systems without delay by solving the related ordinary differential…

Optimization and Control · Mathematics 2007-05-23 Gianpasquale Martelli

We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations (PIDEs) with an unknown input delay. By employing a transport PDE to represent delayed actuator states, the system is…

Analysis of PDEs · Mathematics 2023-07-11 Shanshan Wang , Jie Qi , Miroslav Krstic

In this paper a new optimum tuning method of PI controllers in first-order time-delay systems, based on the deadbeat response to a step setpoint variation, is presented. The deadbeat performance, already studied for the plants without…

Optimization and Control · Mathematics 2007-05-23 Gianpasquale Martelli

The issues of stochastically varying network delays and packet dropouts in Networked Control System (NCS) applications have been simultaneously addressed by time domain optimal tuning of fractional order (FO) PID controllers. Different…

Systems and Control · Computer Science 2012-02-28 Indranil Pan , Saptarshi Das , Amitava Gupta

Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

Electrolysis systems use proportional-integral-derivative (PID) temperature controllers to maintain stack temperatures around set points. However, heat transfer delays in electrolysis systems cause manual tuning of PID temperature…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Ruomei Qi , Jiarong Li , Jin Lin , Yonghua Song , Jiepeng Wang , Qiangqiang Cui , Yiwei Qiu , Ming Tang , Jian Wang

In this paper the following three control systems for first-order time-delay plants are studied and compared: the feedback proportional-integral controller (PI), the Smith Predictor (SP) and a proposed variable structure consisting of two…

Optimization and Control · Mathematics 2007-05-24 Gianpasquale Martelli

We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Judith Lehnert , Philipp Hövel , Valentin Flunkert , Peter Yu. Guzenko , Alexander L. Fradkov , Eckehard Schöll

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability of the classical proportional-integral-derivative(PID)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Cheng Zhao , Shuo Yuan

This paper addresses the numerical optimization of proportional-integral-derivative (PID) controllers for linear time-invariant systems with delays, where the derivative action is implemented using a low-pass filter. While performance…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Diego Torres-García , Wim Michiels

Overall, in any system, the proportional term, integral term, and derivative term combined to produce a fast response time, less overshoot, no oscillations, increased stability, and no steady-state errors. Eliminating the steady state…

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

We present a delay-compensating control method that transforms exponentially stabilizing controllers for an undelayed system into a sample-based predictive controller with numerical integration. Our method handles both first-order and…

Systems and Control · Electrical Eng. & Systems 2020-10-01 Xichen Shi , Michael O'Connell , Soon-Jo Chung

A double inverted pendulum plant has been in the domain of control researchers as an established model for studies on stability. The stability of such as a system taking the linearized plant dynamics has yielded satisfactory results by many…

Systems and Control · Computer Science 2015-11-10 Kavirayani Srikanth , Gundavarapu Nagesh Kumar

This paper derives new formulations for designing dominant pole placement based proportional-integral-derivative (PID) controllers to handle second order processes with time delays (SOPTD). Previously, similar attempts have been made for…

Systems and Control · Computer Science 2018-02-06 Saptarshi Das , Kaushik Halder , Amitava Gupta

This paper studies stochastic aperiodic stabilization of a networked control system (NCS) consisting of a continuous-time plant and a discrete-time controller. The plant and the controller are assumed to be connected by communication…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Yohei Hosoe

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

Optimization and Control · Mathematics 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels
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