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Prediction-powered inference (PPI) is a recent framework for valid statistical inference with partially labeled data, combining model-based predictions on a large unlabeled set with bias correction from a smaller labeled subset. Building on…

Machine Learning · Statistics 2026-03-25 Jyotishka Datta , Nicholas G. Polson

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability of the classical proportional-integral-derivative(PID)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Cheng Zhao , Shuo Yuan

The classical Routh-Hurwitz criterion is one of the most popular methods to study the stability of polynomials with real coefficients, given its simplicity and ductility. However, when moving to polynomials with complex coefficients, a…

Optimization and Control · Mathematics 2025-10-22 Anthony Hastir , Riccardo Muolo

The versatility of data-driven approximation by interpolatory methods, originally settled for model approximation purpose, is illustrated in the context of linear controller design and stability analysis of irrational models. To this aim,…

Optimization and Control · Mathematics 2020-12-04 Charles Poussot-Vassal , Pauline Kergus , Pierre Vuillemin

Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In…

Systems and Control · Electrical Eng. & Systems 2022-11-22 William Chang , Fariba Ariaei , Edmond Jonckheere

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

We present a data-driven optimal control framework that can be viewed as a generalization of the path integral (PI) control approach. We find iterative feedback control laws without parameterization based on probabilistic representation of…

Systems and Control · Computer Science 2016-02-02 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

In this study, a heuristic dynamic programming controller is proposed to control a boost converter. Conventional controllers such as proportional integral-derivative (PID) or proportional integral (PI) are designed based on the linearized…

Systems and Control · Electrical Eng. & Systems 2020-02-04 Sepehr Saadatmand , Pourya Shamsi , Mehdi Ferdowsi

Practical design and tuning of feedback controllers has often to get by without a model of the dynamic process at hand. Only some general assumptions about the system dynamics, in this work type-one stable, can be available for engineers,…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Michael Ruderman

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

We consider controllability for divergence-free systems that have a conserved quantity and satisfy a H\"ormander condition. It is shown that such systems are controllable, provided that the conserved quantity is a proper function. The proof…

Mathematical Physics · Physics 2008-02-27 Martin Hairer

A Proportional- Integral- Derivative (PID) controller is required to bring a system back to the stable operating region as soon as possible following a disturbance or discrepancy. For successful operation of the PID controller, it is…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Md. Rayid Hasan Mojumder , Naruttam Kumar Roy

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

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

The goal of inductive logic programming (ILP) is to find a set of logical rules that generalises training examples and background knowledge. We introduce an ILP approach that identifies pointless rules. A rule is pointless if it contains a…

Artificial Intelligence · Computer Science 2026-01-26 Andrew Cropper , David M. Cerna

Inductive Conformal Prediction (ICP) is a set of distribution-free and model agnostic algorithms devised to predict with a user-defined confidence with coverage guarantee. Instead of having point predictions, i.e., a real number in the case…

Machine Learning · Statistics 2022-07-05 Martim Sousa

Based on the generalized Routh-Hurwitz criterion, we propose a sufficient and necessary criterion for testing the stability of fractional-order linear systems with order {\alpha}{\in}[1,2), called the fractional-order Routh-Hurwitz…

Dynamical Systems · Mathematics 2022-02-22 Jing Yang , Xiaorong Hou , Yajun Li

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

A new concept called "Model-Free Control" is applied to hydroelectric run-of-the river power plants, with severe constraints and operating conditions. Numerous computer simulations display excellent results, which are obtained thanks to…

Optimization and Control · Mathematics 2010-03-03 Cédric Join , Gérard Robert , Michel Fliess

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