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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…

Iteration limited model predictive control (MPC) can stabilize a feedback control system under sufficient conditions; this work explores combining a low iteration limit MPC with a high iteration limit MPC for mixed-integer quadratic…

Optimization and Control · Mathematics 2026-02-11 Luke Fina , Christopher Petersen

This paper articulates design and performance analysis of digital controllers in discrete and continuous time domains for a single-joint robot arm manipulator. The investigated robot arm system is modeled as a single degree of freedom (DOF)…

Systems and Control · Electrical Eng. & Systems 2019-12-20 Dhiman Chowdhury , Mrinmoy Sarkar

In this study, we investigate the effectiveness of using the PID (Proportional - Integral - Derivative) control loop factors for modifying response thresholds in a decentralized, non-communicating, threshold-based swarm. Each agent in our…

Multiagent Systems · Computer Science 2023-04-26 Maryam Kebari , Annie S. Wu , H. David Mathias

This study presents a non-iterative tuning technique for a linear fractional-order (FO) controller, based on the integral of the time-weighted absolute error (ITAE) criterion. Minimizing the ITAE is a traditional approach for tuning FO…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Ansei Yonezawa , Heisei Yonezawa , Shuichi Yahagi , Itsuro Kajiwara , Shinya Kijimoto

Continuous higher order sliding mode (CHOSM) controllers represent an efficient tool for disturbance rejection. For the systems with relative degree r, CHOSM approaches provide theoretically exact compensation of the matched Lipschitz…

Systems and Control · Electrical Eng. & Systems 2024-10-17 Michael Ruderman , Johann Reger , Benjamin Calmbach , Leonid Fridman

The traditional proportional-integral-derivative (PID) algorithm for regulation suffers from a tradeoff: placing the sensor near the sample being regulated ensures that its steady-state temperature matches the desired setpoint. However, the…

Instrumentation and Detectors · Physics 2015-04-02 Leith Znaimer , John Bechhoefer

We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H2 norm metric that represents the variance…

Optimization and Control · Mathematics 2017-05-19 Emma Tegling , Henrik Sandberg

We developed a strategy to control p53 levels when the p53 concentration falls below a desired threshold . Based on an established p53-MDM2 mathematical model that also incorporates microRNA regulators (p53-MDM2-miRNA), we applied a control…

Molecular Networks · Quantitative Biology 2015-10-15 Hsu Kiang Ooi , Lan Ma

Since most industrial control applications use PID controllers, PID tuning and anti-windup measures are significant problems. This paper investigates tuning the feedback gains of a PID controller via back-calculation and automatic…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Athindran Ramesh Kumar , Peter J. Ramadge

Control theory provides engineers with a multitude of tools to design controllers that manipulate the closed-loop behavior and stability of dynamical systems. These methods rely heavily on insights about the mathematical model governing the…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Simen Theie Havenstrøm , Camilla Sterud , Adil Rasheed , Omer San

Robot manipulators are extensively used in industrial applications because of their immense importance such as in constructions automation. Therefore, designing controllers to suit the intensive purpose of the application is one of the…

Robotics · Computer Science 2019-10-29 Usman Kabir , Mukhtar Fatihu Hamza , Ado Haruna , Gaddafi Sani Shehu

We present a control design for semilinear and quasilinear 2x2 hyperbolic partial differential equations with the control input at one boundary and a nonlinear ordinary differential equation coupled to the other. The controller can be…

Optimization and Control · Mathematics 2021-05-20 Timm Strecker , Ole Morten Aamo , Michael Cantoni

The continuous and discrete time Linear Quadratic Regulator (LQR) theory has been used in this paper for the design of optimal analog and discrete PID controllers respectively. The PID controller gains are formulated as the optimal…

Optimization and Control · Mathematics 2013-01-18 Saptarshi Das , Indranil Pan , Kaushik Halder , Shantanu Das , Amitava Gupta

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer

We consider $\hinf$-optimal state-feedback control of the class of linear Partial Differential Equations (PDEs) which admit a Partial Integral Equation (PIE) representation. While linear matrix inequalities are commonly used for optimal…

Optimization and Control · Mathematics 2026-04-07 Sachin Shivakumar , Amritam Das , Matthew Peet

Proportional-integral-derivative (PID) control is the most widely used in industrial control, robot control and other fields. However, traditional PID control is not competent when the system cannot be accurately modeled and the operating…

Robotics · Computer Science 2021-07-13 Xinyi Yu , Yuehai Fan , Siyu Xu , Linlin Ou

We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-varying reaction. Using "folding" transforms the parabolic…

Optimization and Control · Mathematics 2019-08-23 Stephen Chen , Rafael Vazquez , Miroslav Krstic

Previous results reported in the robotics literature show the relationship between time-delay control (TDC) and proportional-integral-derivative control (PID). In this paper, we show that incremental nonlinear dynamic inversion (INDI) -…

Systems and Control · Computer Science 2021-12-06 Paul Acquatella B. , Wim van Ekeren , Qi Ping Chu

In this paper we study robust output tracking and disturbance rejection of linear partial differential equation (PDE) models. We focus on demonstrating how the abstract internal model based controller design methods developed for "regular…

Optimization and Control · Mathematics 2024-07-16 Lassi Paunonen , Jukka-Pekka Humaloja