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Power iteration has been generalized to solve many interesting problems in machine learning and statistics. Despite its striking success, theoretical understanding of when and how such an algorithm enjoys good convergence property is…

Optimization and Control · Mathematics 2020-06-12 Cheolmin Kim , Youngseok Kim , Diego Klabjan

In this paper a new optimum tuning method of PI controllers in first-order time-delay systems, based on the deadbeat response to a step setpoint variation, is presented. The deadbeat performance, already studied for the plants without…

Optimization and Control · Mathematics 2007-05-23 Gianpasquale Martelli

This paper presents a tutorial overview of path integral (PI) control approaches for stochastic optimal control and trajectory optimization. We concisely summarize the theoretical development of path integral control to compute a solution…

Robotics · Computer Science 2023-12-05 Muhammad Kazim , JunGee Hong , Min-Gyeom Kim , Kwang-Ki K. Kim

Motion planning for autonomous robots in dynamic environments poses numerous challenges due to uncertainties in the robot's dynamics and interaction with other agents. Sampling-based MPC approaches, such as Model Predictive Path Integral…

Robotics · Computer Science 2024-05-07 Elia Trevisan , Javier Alonso-Mora

Autonomous optimization refers to the design of feedback controllers that steer a physical system to a steady state that solves a predefined, possibly constrained, optimization problem. As such, no exogenous control inputs such as setpoints…

Optimization and Control · Mathematics 2020-10-08 Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H2 norm metric that represents the variance…

Optimization and Control · Mathematics 2017-05-19 Emma Tegling , Henrik Sandberg

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

Optimization and Control · Mathematics 2020-05-05 Xiaojun Zhou

This paper deals with the design of Fractional Order Proportional Integral (FO-PI{\lambda}) controller for the speed control of DC motor. A mathematical model of DC motor control system is derived and based on this model fractional order…

Systems and Control · Computer Science 2014-02-07 N. N. Praboo , P. K. Bhaba

The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

We study the optimal control of multiple-input and multiple-output dynamical systems via the design of neural network-based controllers with stability and output tracking guarantees. While neural network-based nonlinear controllers have…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

Robotics · Computer Science 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

We derive shortcuts to adiabaticity maximizing population transfer in a three-level $\Lambda$ quantum system, using the spin to spring mapping to formulate the corresponding optimal control problem on the simpler system of a classical…

Quantum Physics · Physics 2023-12-29 Vasileios Evangelakos , Emmanuel Paspalakis , Dionisis Stefanatos

This paper presents an anti-windup PI controller, using a saturating integrator, for a single-input single-output stable nonlinear plant, whose steady-state input-output map is increasing. We prove that, under reasonable assumptions, there…

Optimization and Control · Mathematics 2021-07-02 Pietro Lorenzetti , George Weiss

The connections between optimal control and Bayesian inference have long been recognised, with the field of stochastic (optimal) control combining these frameworks for the solution of partially observable control problems. In particular,…

Optimization and Control · Mathematics 2022-03-10 Manuel Baltieri

Particle Swarm Optimization technique offers optimal or suboptimal solution to multidimensional rough objective functions. In this paper, this optimization technique is used for designing fractional order PID controllers that give better…

Other Computer Science · Computer Science 2008-10-22 Deepyaman Maiti , Sagnik Biswas , Amit Konar

This paper considers optimal control of dynamical systems which are represented by nonlinear stochastic differential equations. It is well-known that the optimal control policy for this problem can be obtained as a function of a value…

Robotics · Computer Science 2014-05-30 Oktay Arslan , Evangelos Theodorou , Panagiotis Tsiotras

We derive a posteriori error estimators for an optimal control problem governed by a convection-reaction-diffusion equation; control constraints are also considered. We consider a family of low-order stabilized finite element methods to…

Numerical Analysis · Mathematics 2017-04-24 Alejandro Allendes , Enrique Otarola , Richard Rankin

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

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

Optimization and Control · Mathematics 2022-08-18 John W. Simpson-Porco

We study the problem of optimal state-feedback tracking control for unknown discrete-time deterministic systems with input constraints. To handle input constraints, state-of-art methods utilize a certain nonquadratic stage cost function,…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Alexandros Tanzanakis , John Lygeros