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In this paper, we propose to use a nonlinear adaptive PID controller to regulate the joint variables of a mobile manipulator. The motion of the mobile base forces undue disturbances on the joint controllers of the manipulator. In designing…

Robotics · Computer Science 2022-07-12 Hadi Hajieghrary , Marc Peter Deisenroth , Yasemin Bekiroglu

The process industry implements many techniques with certain parameters in its operations to control the working of several actuators on field. Amongst these actuators, DC motor is a very common machine. The angular position of DC motor can…

Systems and Control · Computer Science 2013-12-03 Muhammad Aamir

Proportional-integral-derivative (PID) control underlies more than $97\%$ of automated industrial processes. Controlling these processes effectively with respect to some specified set of performance goals requires finding an optimal set of…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Zacharaya Shabka , Michael Enrico , Nick Parsons , Georgios Zervas

The comparative study of Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) controllers applied to level and flow control in coupled tank systems is presented in this research work. The coupled tank system, characterized…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Divyam R. Kakani , Dineshkumar Subendran , Shivam J. Singh

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

Since proportional-integral-derivative (PID) controllers absolutely dominate the control engineering, numbers of different control structures and theories have been developed to enhance the efficiency of PID controllers. Thus, it is…

Systems and Control · Computer Science 2018-06-04 Jie Yuan , Abdullah Ates , Sina Dehghan , Yang Zhao , Shumin Fei , YangQuan Chen

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

Classical Proportional-Integral-Derivative (PID) control has been widely successful across various industrial systems such as chemical processes, robotics, and power systems. However, as these systems evolved, the increase in the nonlinear…

Robotics · Computer Science 2025-12-09 Waleed Razzaq

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

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

This paper presents a comprehensive design process for the integration of a robotic arm into a quadcopter, emphasizing the physical modeling, system integration, and controller development. Utilizing SolidWorks for mechanical design and…

Robotics · Computer Science 2024-10-22 Animesh Singh , Jason Hillyer , Fariba Ariaei , Hossein Jula

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 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

These lectures demonstrate the development of a PID control framework for mechanical systems. Based on the observation that mechanical systems are essentially double integrator systems, we generalize the linear PID controller to mechanical…

Optimization and Control · Mathematics 2016-10-17 D. H. S. Maithripala , T. W. U. Madhushani , J. M. Berg

The design of Proportional Integral-Derivative (PID) controller is involved to gain infinite stiffness using active vibration control system and it is a modification of previous work. The PID controller is a control loop feedback mechanism…

Systems and Control · Electrical Eng. & Systems 2021-09-09 Rifat Choudhury

The PID controller parameters can be adjusted in such a manner that it gives the desired frequency response and the results are found using the Bodes integral formula in order to adjust the slope of the nyquist curve in a desired manner.…

Systems and Control · Computer Science 2013-01-01 Anish Acharya , Debatri Mitra , Kaushik Halder

"Model-free control" and the corresponding "intelligent" PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into…

Optimization and Control · Mathematics 2013-11-21 Michel Fliess , Cédric Join

PID control architectures are widely used in industrial applications. Despite their low number of open parameters, tuning multiple, coupled PID controllers can become tedious in practice. In this paper, we extend PILCO, a model-based policy…

Machine Learning · Computer Science 2017-03-09 Andreas Doerr , Duy Nguyen-Tuong , Alonso Marco , Stefan Schaal , Sebastian Trimpe

PID controllers are widely used in control systems because of their simplicity and effectiveness. Although advanced optimization techniques such as Bayesian Optimization and Differential Evolution have been applied to address the challenges…

Robotics · Computer Science 2026-01-07 Zaid Ghazal , Ali Al-Bustami , Khouloud Gaaloul , Jaerock Kwon

Modern automation systems rely on closed loop control, wherein a controller interacts with a controlled process, based on observations. These systems are increasingly complex, yet most controllers are linear Proportional-Integral-Derivative…

Machine Learning · Computer Science 2021-01-27 Johannes Günther , Elias Reichensdörfer , Patrick M. Pilarski , Klaus Diepold