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The problem of finding the set of all multi-model robust PID and three-term stabilizers for discrete-time systems is solved in this paper. The method uses the fact that decoupling of parameter space at singular frequencies is invariant…

Systems and Control · Computer Science 2013-03-05 Naim Bajcinca

A comprehensive theory for robust PID control in continuous-time and discrete-time domain is reviewed in this paper. For a given finite set of linear time invariant plants, algorithms for fast computation of robustly stabilizing regions in…

Systems and Control · Computer Science 2013-03-05 Naim Bajcinca

Classical PID control is widely applied in an engineering system, with parameter regulation relying on a method like Trial - Error Tuning or the Ziegler - Nichols rule, mainly for a Single - Input Single - Output (SISO) system. However, the…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Zimao Sheng , Hong'an Yang

In chemical process applications, model predictive control effectively deals with input and state constraints during transient operations. However, industrial PID controllers directly manipulates the actuators, so they play the key role in…

Systems and Control · Computer Science 2013-05-29 Minh Hoang-Tuan Nguyen , Kok Kiong Tan

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

A parameter space procedure for designing chosen parameters of a repetitive controller to satisfy a robust performance criterion is presented. Using this method, low order robust repetitive controllers can be designed and implemented for…

Systems and Control · Computer Science 2014-12-02 Burak Demirel , Levent Guvenc

In this paper, modification of the classical PID controller and development of open-loop control mechanisms to improve stability and robustness of a differential wheeled robot are discussed. To deploy the algorithm, a test platform has been…

Robotics · Computer Science 2021-11-09 Samet Oguten , Bilal Kabas

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

Optimization and Control · Mathematics 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels

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 recent years, different mathematical models have been proposed for widely used internet control mechanisms. Simple low order controllers (such as PID, and Smith predictor based linear controllers that are easy to implement) are desired…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Murat Saglam , Sami Ezercan , Suat Gumussoy , Hitay Ozbay

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

Optimization and Control · Mathematics 2025-12-03 Baoyou Qu , Cheng Zhao

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

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

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

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

Bound states in the continuum (BICs) have attracted significant interest in recent years due to their unique optical properties, such as infinite quality factor and wave localization. In order to improve the optical performance of BICs…

Optics · Physics 2023-05-17 Fengyuan Zhang , Qiongqiong Chu , Qiang Wang , Shining Zhu , Hui Liu

In this paper, a controller design targeting the remotely operated hydraulic drive system is presented. A two-degrees-of-freedom PID position controller is used, which is designed so that to maximize the integral action under robust…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Riccardo Checchin , Michael Ruderman , Roberto Oboe

Purpose: This study aims to address the challenges of controlling unstable and nonlinear systems by proposing an adaptive PID controller based on predictive reinforcement learning (PRL-PID), where the PRL-PID combines the advantages of both…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Chaoqun Ma , Zhiyong Zhang

Two ways of designing low-order discrete-time (i.e. digital) controls for low-order plant (i.e. process) models are considered in this tutorial. The first polynomial method finds the controller coefficients that place the poles of the…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Hugh Lachlan Kennedy

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
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