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This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

Optimization and Control · Mathematics 2022-07-13 Hugo Lhachemi , Christophe Prieur

A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time-varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off…

Systems and Control · Computer Science 2018-02-16 Ahmet Cetinkaya , Tomohisa Hayakawa , Mohd Amir Fikri bin Mohd Taib

This paper presents a PID tuning method based on step response curve fitting (PID-SRCF) that utilizes L2-norm minimization for precise reference tracking and explicit transient response shaping. The algorithm optimizes controller parameters…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Senol Gulgonul

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

This paper presents a control design for the one-phase Stefan problem under actuator delay via a backstepping method. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a material's…

Optimization and Control · Mathematics 2019-01-29 Shumon Koga , Delphine Bresch-Pietri , Miroslav Krstic

In chemical process applications, model predictive control effectively deals with input and state constraints during transient operations. However, industrial PID controllers directly manipulates the actuators, so they play the key role in…

Systems and Control · Computer Science 2013-05-29 Minh Hoang-Tuan Nguyen , Kok Kiong Tan

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

Optimization and Control · Mathematics 2025-12-03 Baoyou Qu , Cheng Zhao

Traditionally, the delay margin of a looped system is computed by considering both the controller and system representations that evolve in the same space (e.g. either continuous or discrete-time). However, as in practice the system is…

Systems and Control · Computer Science 2018-11-30 V. Bellet , C. Poussot-Vassal , C. Pagetti , T. Loquen

In this paper, we propose several rules to tune the gains for a class of passivity-based controllers for nonlinear mechanical systems. Such tuning rules prescribe a desired local transient response behavior to the closed-loop system. To…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Carmen Chan-Zheng , Pablo Borja , Jacquelien M. A. Scherpen

Networked Predictive Control is widely used to mitigate the effect of delays and dropouts in Networked Control Systems, particularly when these exceed the sampling time. A key design choice of these methods is the delay bound, which…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Severin Beger , Yihui Lin , Katarina Stanojevic , Sandra Hirche

Proportional-Integral-Differential (PID) control is widely used in industrial control systems. However, up to now there are at least two open problems related with PID control. One is to have a comprehensive understanding of its robustness…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Bo Zhu , Wei Yu , Hugh H. T. Liu

We introduce the map representation of a time-delayed system in the presence of delay time modulation. Based on this representation, we find the method by which to analyze the stability of that kind of a system. We apply this method to a…

Chaotic Dynamics · Physics 2007-05-23 Won-Ho Kye , Muhan Choi , Tae-Yoon Kwon , Chil-Min Kim , Young-Jai Park

The PI control of first-order linear passive systems through a delayed communication channel is revisited in light of the relative stability concept called sigma-stability. Treating the delayed communication channel as a transport PDE, the…

Optimization and Control · Mathematics 2019-11-14 Fernando Castaños , Edgar Estrada , Sabine Mondié , Adrián Ramírez

This paper presents a new Python software for the parametric design of stabilizing feedback laws with time delays, called Partial Pole Placement via Delay Action (P3$\delta$). After an introduction recalling recent theoretical results on…

Optimization and Control · Mathematics 2020-12-03 Islam Boussaada , Guilherme Mazanti , Silviu-Iulian Niculescu , Julien Huynh , Franck Sim , Matthieu Thomas

Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In…

Systems and Control · Electrical Eng. & Systems 2022-11-22 William Chang , Fariba Ariaei , Edmond Jonckheere

This paper presents the design a Proportional-Integral-Derivative (PID) controller with optimized parameters for a two-degree-of-freedom robotic arm. A genetic algorithm (GA) is proposed to optimize the controller parameters, addressing the…

Systems and Control · Electrical Eng. & Systems 2025-01-10 Vu Ngoc Son , Pham Van Cuong , Nguyen Duy Minh , Phi Hoang Nha

Artificial time delay controller was conceptualised for nonlinear systems to reduce dependency on precise system modelling unlike the conventional adaptive and robust control strategies. In this approach unknown dynamics is compensated by…

Robotics · Computer Science 2024-09-04 Swati Dantu

Partial Integral Equations (PIEs) have been used to represent both systems with delay and systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this paper, we show that these results can be combined to obtain…

Optimization and Control · Mathematics 2024-06-18 Declan S. Jagt , Matthew M. Peet

This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

Optimization and Control · Mathematics 2026-04-14 Robert Vrabel

This paper introduces a packet-based dual-rate control strategy to face time-varying network-induced delays, packet dropouts and packet disorder in a Networked Control System. Slow-rate sensing enables to achieve energy saving by reducing…

Systems and Control · Computer Science 2017-07-25 A. Cuenca , J. Alcaina , J. Salt , V. Casanova , R. Pizá