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This paper presents a novel First Order Plus Fractional Diffusive Delay (FOPFDD) model, capable of modeling delay dominant systems with high accuracy. The novelty of the FOPFDD is the Fractional Diffusive Delay (FDD) term, an exponential…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Jasper Juchem , Amélie Chevalier , Kevin Dekemele , Mia Loccufier

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…

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

Reinforcement learning has been successfully applied to the problem of tuning PID controllers in several applications. The existing methods often utilize function approximation, such as neural networks, to update the controller parameters…

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

Fuzzy logic based PID controllers have been studied in this paper, considering several combinations of hybrid controllers by grouping the proportional, integral and derivative actions with fuzzy inferencing in different forms. Fractional…

Optimization and Control · Mathematics 2013-06-18 Saptarshi Das , Indranil Pan , Shantanu Das

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

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

In this paper, we tackle the state transformation problem in non-strict full state-constrained systems by introducing an adaptive fixed-time control method, utilizing a one-to-one asymmetric nonlinear mapping auxiliary system. Additionally,…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Chenglin Gong , Ziming Wang , Guanxuan Jiang , Xin Wang , Yiding Ji

This paper presents SOSTIAE (Second-Order System Target IAE), a novel PID tuning method that combines IAE minimization with explicit transient response shaping for practical control applications. The algorithm generates optimal PID…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Senol Gulgonul

A novel conformal mapping based Fractional Order (FO) methodology is developed in this paper for tuning existing classical (Integer Order) Proportional Integral Derivative (PID) controllers especially for sluggish and oscillatory second…

Optimization and Control · Mathematics 2012-02-28 Suman Saha , Saptarshi Das , Shantanu Das , Amitava Gupta

A reliable controller is critical and essential for the execution of safe and smooth maneuvers of an autonomous vehicle.The controller must be robust to external disturbances, such as road surface, weather, and wind conditions, and so on.It…

Robotics · Computer Science 2019-05-01 Tianyu Shi , Pin Wang , Ching-Yao Chan , Chonghao Zou

This paper proposes a prescribed performance function aware hybrid gain finite time sliding mode control framework for a class of nonlinear systems subject to matched disturbances. The hybrid gain structure ensures bounded control effort…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Amit Shivam , Kiran Kumari , Fernando A. C. C. Fontes

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

Optimization and Control · Mathematics 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

This study presents a shaped reset feedback control strategy to enhance the performance of precision motion systems. The approach utilizes a phase-lead compensator as a shaping filter to tune the phase of reset instants, thereby shaping the…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Xinxin Zhang , S. Hassan HosseinNia

This paper presents a mathematical approach for improving the performance of a control system by modifying the time delay at certain operating conditions. This approach converts a continuous time loop into a discrete time loop. The formula…

Systems and Control · Computer Science 2015-03-03 Salem Alkhalaf

The work presented here addresses the issue of tuning PD controllers for controlling integrating plus dead-time (IPDT) processes using settling time and gain and phase margin specifications. Tuning formulae are derived for PD controller…

Systems and Control · Computer Science 2017-12-01 Sujay D. Kadam

In this work we recast parametrized time dependent optimal control problems governed by partial differential equations in a saddle point formulation and we propose reduced order methods as an effective strategy to solve them. Indeed, on one…

Numerical Analysis · Mathematics 2023-08-08 Maria Strazzullo , Francesco Ballarin , Gianluigi Rozza

Particle swarm optimization (PSO) is extensively used for real parameter optimization in diverse fields of study. This paper describes an application of PSO to the problem of designing a fractional-order proportional-integral-derivative…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Ayan Acharya , Mithun Chakraborty , Amit Konar , Ramadoss Janarthanan

The precise regulation of rotary actuation is fundamental in autonomous robotics, yet practical PID loops deviate from continuous-time theory due to discrete-time execution, actuator saturation, and small delays and measurement…

Robotics · Computer Science 2026-02-06 Ojasva Mishra , Xiaolong Wu , Min Xu