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In this paper, we propose a combined Magnitude Saturated Adaptive Control (MSAC)-Model Predictive Control (MPC) approach to linear quadratic tracking optimal control problems with parametric uncertainties and input saturation. The proposed…

Optimization and Control · Mathematics 2023-03-14 Sunbochen Tang , Anuradha M. Annaswamy

This paper introduces OptimizedDP, a high-performance software library for several common grid-based dynamic programming (DP) algorithms used in control theory and robotics. Specifically, OptimizedDP provides functions to numerically solve…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Minh Bui , Hanyang Hu , Chong He , Michael Lu , George Giovanis , Arrvindh Shriraman , Mo Chen

PANOC is an algorithm for nonconvex optimization that has recently gained popularity in real-time control applications due to its fast, global convergence. The present work proposes a variant of PANOC that makes use of Gauss-Newton…

Optimization and Control · Mathematics 2024-04-17 Pieter Pas , Andreas Themelis , Panagiotis Patrinos

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

Artificial Intelligence · Computer Science 2024-04-23 Cheng Chi

We consider an abstract framework for the numerical solution of optimal control problems (OCPs) subject to partial differential equations (PDEs). Examples include not only the distributed control of elliptic PDEs such as the Poisson…

Numerical Analysis · Mathematics 2025-05-27 Ulrich Langer , Richard Löscher , Olaf Steinbach , Huidong Yang

This paper presents a novel convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems with non-convex constraints that restrict the…

Optimization and Control · Mathematics 2019-11-21 Danylo Malyuta , Behcet Acikmese

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

Machine Learning · Computer Science 2021-08-13 Benjamin Gravell , Tyler Summers

The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping…

Optimization and Control · Mathematics 2020-05-13 Boris S. Mordukhovich , Dao Nguyen

Real-time optimization problems are ubiquitous in control and estimation, and are typically parameterized by incoming measurement data and/or operator commands. This paper proposes solving parameterized constrained nonlinear programs using…

Optimization and Control · Mathematics 2018-12-06 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

This paper presents the acados software package, a collection of solvers for fast embedded optimization intended for fast embedded applications. Its interfaces to higher-level languages make it useful for quickly designing an…

We introduce StoDynProg, a small library created to solve Optimal Control problems arising in the management of Renewable Power Sources, in particular when coupled with an Energy Storage System. The library implements generic Stochastic…

Systems and Control · Computer Science 2014-04-28 Pierre Haessig , Thibaut Kovaltchouk , Bernard Multon , Hamid Ben Ahmed , Stéphane Lascaud

The nonsmooth composite matrix optimization problem (CMatOP), in particular, the matrix norm minimization problem, is a generalization of the matrix conic programming problem with wide applications in numerical linear algebra, computational…

Optimization and Control · Mathematics 2019-08-13 Ying Cui , Chao Ding

Designing effective score functions in Conformal Prediction (CP) for time-series data remains challenging due to conservativeness and/or computational inefficiency. We propose Optimal Selection Conformal Prediction (OSCP), which…

Optimization and Control · Mathematics 2026-05-05 Boyu Pang , Kostas Margellos

This paper studies the extremum seeking control (ESC) problem for a class of constrained nonlinear systems. Specifically, we focus on a family of constraints allowing to reformulate the original nonlinear system in the so-called…

Optimization and Control · Mathematics 2021-03-24 Shuai Yuan , Filippo Fabiani , Simone Baldi

Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve model-based optimal control problems in a very short amount of…

Optimization and Control · Mathematics 2020-12-15 Sina Ober-Blöbaum , Sebastian Peitz

We propose a new method for model selection and model fitting in multivariate nonparametric regression models, in the framework of smoothing spline ANOVA. The ``COSSO'' is a method of regularization with the penalty functional being the sum…

Statistics Theory · Mathematics 2007-06-13 Yi Lin , Hao Helen Zhang

In this paper, we present an iterative Model Predictive Control (MPC) design for piecewise nonlinear systems. We consider finite time control tasks where the goal of the controller is to steer the system from a starting configuration to a…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Ugo Rosolia , Aaron D. Ames

In this paper, we present a nonlinear model predictive control (NMPC) algorithm for systems modeled by semi-explicit stochastic differential-algebraic equations (DAEs) of index 1. The NMPC combines a continuous-discrete extended Kalman…

Optimization and Control · Mathematics 2024-07-29 Anders Hilmar Damm Christensen , Nicola Cantisani , John Bagterp Jørgensen

In this paper, we consider mixed-integer nonsmooth constrained optimization problems whose objective/constraint functions are available only as the output of a black-box zeroth-order oracle (i.e., an oracle that does not provide derivative…

Optimization and Control · Mathematics 2021-07-02 Tommaso Giovannelli , Giampaolo Liuzzi , Stefano Lucidi , Francesco Rinaldi

In this paper we derive a novel characterization result for time-consistent stochastic control problems with higher-order moments, originally formulated by Wang et al. [SIAM J. Control. Optim., 63 (2025), 1560--1589], and newly explore many…

Optimization and Control · Mathematics 2026-03-19 Yike Wang , Jingzhen Liu , Jiaqin Wei