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It is well-known that the classical PID controller is by far the most widely used ones in industrial processes, despite of the remarkable progresses of the modern control theory over the past half a century. It is also true that the…

Optimization and Control · Mathematics 2016-12-21 Cheng Zhao , Lei Guo

A Fractional adaptive PID (FPID) controller for a robot manipulator will be proposed. The PID parameters have been optimized by Genetic algorithm. The proposed controller is found robust by means of simulation in a tracking job. The…

Adaptation and Self-Organizing Systems · Physics 2012-06-12 H. Delavari , R. Ghaderi , N. A. Ranjbar , S. H. HosseinNia , S. Momani

The proportional-integral-derivative (PID) control law is often overlooked as a computational imitation of the critic control in human decision. This paper provides a formulation to remedy this problem. Further, based on the characteristic…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Oluwasegun Ayokunle Somefun , Kayode Akingbade , Folasade Dahunsi

Three-phase AC-DC rectifiers are fundamental components in modern power electronics systems, yet achieving rapid voltage regulation and precise current tracking under load and grid disturbances remains challenging due to nonlinear dynamics…

Optimization and Control · Mathematics 2026-03-02 Koto Omiloli , Satish Vedula , Ayobami Olajube , Olugbenga Moses Anubi

The PID controller is an elegant and versatile controller for set point tracking in double integrator systems of which mechanical systems evolving on Euclidean space constitute a large class. But since mechanical systems are typically…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Rama Seshan , Ravi N Banavar , D. H. S. Maithripala , Arun D. Mahindrakar

This paper presents a new improved nonlinear tracking differentiator (INTD) with hyperbolic tangent function in the state space system. The stability and convergence of the INTD are thoroughly investigated and proved. Through the error…

Optimization and Control · Mathematics 2018-03-09 Ibraheem Kasim Ibraheem , Wameedh Riyadh Abdul-Adheem

Controlling the behaviors of large language models (LLM) is fundamental to their safety alignment and reliable deployment. However, existing steering methods are primarily driven by empirical insights and lack theoretical performance…

Machine Learning · Computer Science 2026-05-19 Dung V. Nguyen , Hieu M. Vu , Nhi Y. Pham , Lei Zhang , Tan M. Nguyen

A variety of control systems have been proposed for aircraft autopilot systems. Traditional approaches such as proportional controller and conventional PID (CPID) controller are widely used. PID controller has a good static performance…

Systems and Control · Computer Science 2015-10-12 Nima Beygi , Maani Beigy , Mehdi Siahi

Almost-global orientation trajectory tracking for a rigid body with external actuation has been well studied in the literature, and in the geometric setting as well. The tracking control law relies on the fact that a rigid body is a simple…

Systems and Control · Computer Science 2017-03-27 Aradhana Nayak , Ravi N. Banavar

We present a new method for the automated synthesis of safe and robust Proportional-Integral-Derivative (PID) controllers for stochastic hybrid systems. Despite their widespread use in industry, no automated method currently exists for…

Systems and Control · Computer Science 2017-09-08 Fedor Shmarov , Nicola Paoletti , Ezio Bartocci , Shan Lin , Scott A. Smolka , Paolo Zuliani

We present a full review of PID passivity-based controllers (PBC) applied to power electronic converters, discussing limitations, unprecedented merits and potential improvements in terms of large-signal stability, robustness and…

Systems and Control · Electrical Eng. & Systems 2021-09-24 Daniele Zonetti , Gilbert Bergna-Diaz , Romeo Ortega , Nima Monshizadeh

Unmanned Aerial Vehicles (UAVs) have gained widespread recognition for their diverse applications, ranging from surveillance to delivery services. Among the various control algorithms employed to stabilize and navigate UAVs, the…

Robotics · Computer Science 2023-11-14 Hans Oersted , Yudong Ma

Impedance control is a well-established technique to control interaction forces in robotics. However, real implementations of impedance control with an inner loop may suffer from several limitations. Although common practice in designing…

This study investigates the performance of cascade PID control architecture applied to an inverted pendulum on a cart system through both simulation and experimental implementation. A nonlinear model of the system was developed using…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Khalid Mehrab , Md Zamiul Alam , Shadman Tahmid Haque

This article proposes a data-driven PID controller design based on the principle of adaptive gain optimization, leveraging Physics-Informed Neural Networks (PINNs) generated for predictive modeling purposes. The proposed control design…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Junsei Ito , Yasuaki Wasa

The autonomous driving industry is experiencing unprecedented growth, driven by rapid advancements in technology and increasing demand for safer, more efficient transportation. At the heart of this revolution are two critical factors:…

Robotics · Computer Science 2024-09-17 Harshit Jain , Priyal Babel

As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linear PID can successfully deal with the ubiquitous uncertain…

Optimization and Control · Mathematics 2022-05-10 Cheng Zhao , Lei Guo

In this paper, a compressor system is analyzed in order to show its characteristics and design a control scheme to improve its efficiency. A mathematical technique has been created to forecast the onset of surge and instability in a…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Seyed Mohammad Hosseindokht

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 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