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Set-point tracking for systems with unknown model parameters is a fundamental problem in control, and two-degree-of-freedom (2DOF) Proportional-Integral (PI) controllers -- consisting of a feedforward controller and PI controller -- are…

Optimization and Control · Mathematics 2026-01-08 Taiga Kiyota , Kazuhiro Sato

Growing demands in the semiconductor industry result in the need for enhanced performance of lithographic equipment. However, position tracking accuracy of high precision mechatronics is often limited by the presence of disturbance sources,…

Systems and Control · Electrical Eng. & Systems 2021-05-05 Ioannis Proimadis , Yorick Broens , Roland Tóth , Hans Butler

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

Optimization and Control · Mathematics 2020-05-05 Xiaojun Zhou

Advanced regulatory control (ARC), also known as advanced PID architectures, is a simple and robust way of controlling processes with changing and possibly conflicting constraints, where it previously was believed - at least in academia -…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Sigurd Skogestad

This paper presents the design of multivariable temperature control for a refrigeration system based on vapor compression employing the internal model control technique. The refrigeration system is based on the PID18 benchmark, which is a…

Systems and Control · Computer Science 2018-10-16 Jairo Viola , Alberto Radici , YangQuan Chen

Time delays due to signal latency, computational complexity, and sensor-denied environments, pose a critical challenge in both engineered and biological control systems. In this work, we investigate biologically inspired strategies to…

Systems and Control · Electrical Eng. & Systems 2019-12-12 Thomas L. Mohren , Thomas L. Daniel , Steven L. Brunton

The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

Controlling nonlinear dynamics arise in various engineering fields. We present efforts to model the forced van der Pol system control using physics-informed neural networks (PINN) compared to benchmark methods, including idealized nonlinear…

Dynamical Systems · Mathematics 2022-08-30 Hanfeng Zhai , Timothy Sands

The aim of this paper is to present a comprehensive range of design techniques for the synthesis of the standard compensators (Lead and Lag networks as well as PID controllers) that in the last twenty years have proved to be of great…

Systems and Control · Computer Science 2012-10-16 Lorenzo Ntogramatzidis , Roberto Zanasi , Stefania Cuoghi

A novel fractional order (FO) fuzzy Proportional-Integral-Derivative (PID) controller has been proposed in this paper which works on the closed loop error and its fractional derivative as the input and has a fractional integrator in its…

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

We present a computationally tractable framework for real-time predictive control of multi-chiller plants that involve both discrete and continuous control decisions coupled through nonlinear dynamics, resulting in a mixed-integer optimal…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Ján Boldocký , Cary Faulkner , Elad Michael , Martin Gulan , Aaron Tuor , Ján Drgoňa

This paper presents the design and robustness analysis of fractional and integer order PID controllers for the control of a non-linear industrial process in the presence of parametric uncertainness and external disturbances. The nonlinear…

Systems and Control · Computer Science 2018-10-31 J. Viola , L. Angel

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

Current engineering design trends, such as light-weight machines and humanmachine-interaction, often lead to underactuated systems. Output trajectory tracking of such systems is a challenging control problem. Here, we use a twodesign-degree…

Optimization and Control · Mathematics 2023-12-08 Svenja Drücker , Lukas Lanza , Thomas Berger , Timo Reis , Robert Seifried

Creating a simulation of a system enables the tuning of control systems without the need for a physical system. In this paper, we employ Lagrangian Mechanics to derive a set of equations to simulate an inverted pendulum on a cart. The…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Ethan Kou , Majid Moghadam

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

Feedforward controllers typically rely on accurately identified inverse models of the system dynamics to achieve high reference tracking performance. However, the impact of the (inverse) model identification error on the resulting tracking…

Systems and Control · Electrical Eng. & Systems 2024-01-25 Max Bolderman , Mircea Lazar , Hans Butler

This paper presents a novel method for enhancing the adaptability of Proportional-Integral-Derivative (PID) controllers in industrial systems using event-based dynamic game theory, which enables the PID controllers to self-learn, optimize,…

Artificial Intelligence · Computer Science 2025-06-17 Steve Yuwono , Muhammad Uzair Rana , Dorothea Schwung , Andreas Schwung

The stochastic nature of time delays and sampling intervals in Networked Control Systems poses significant challenges for controller synthesis and analysis, often leading to conservative designs and degraded performance. This work presents…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Matheus Wagner , Marcelo M. Morato , Antônio Augusto Fröhlich , Julio E. Normey-Rico

This paper analyzes the motion of solutions to non-homogeneous linear differential equations. It further clarifies that a proportional-integral-derivative (PID) controller essentially comprises two parts: a homogeneous controller and a…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Xinyu Shi