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We provide theoretical guarantees for recursive feasibility and practical exponential stability of the closed-loop system of a feedback linearizable nonlinear system when controlled by a robust data-driven nonlinear predictive control…

最优化与控制 · 数学 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

We present a simple model-free control algorithm that is able to robustly learn and stabilize an unknown discrete-time linear system with full control and state feedback subject to arbitrary bounded disturbance and noise sequences. The…

最优化与控制 · 数学 2020-10-02 Dimitar Ho , John Doyle

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

系统与控制 · 计算机科学 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. This is in sharp contrast to classical model-based control,…

最优化与控制 · 数学 2020-06-16 Guannan Qu , Chenkai Yu , Steven Low , Adam Wierman

Deep sequence models are receiving significant interest in current machine learning research. By representing probability distributions that are fit to data using maximum likelihood estimation, such models can model data on general…

系统与控制 · 电气工程与系统科学 2024-09-09 Kristian Løvland , Bjarne Grimstad , Lars Struen Imsland

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

最优化与控制 · 数学 2016-05-04 Ashkan Jasour , Constantino Lagoa

A novel MIMO homogeneous Super-Twisting Algorithm is proposed in this paper for nonlinear systems with relative degree one, having a time and state-varying uncertain control matrix. The uncertainty is represented by a constant but unknown…

系统与控制 · 电气工程与系统科学 2022-08-09 Juan F. Garcia-Mathey , Jaime A. Moreno

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

系统与控制 · 电气工程与系统科学 2025-03-12 Ying-Chun Chen , Craig Woolsey

This work is devoted to the almost sure stabilization of adaptive control systems that involve an unknown Markov chain. The control system displays continuous dynamics represented by differential equations and discrete events given by a…

概率论 · 数学 2008-07-10 Bernard Bercu , Francois Dufour , G. George Yin

In order to certify performance and safety, feedback control requires precise characterization of sensor errors. In this paper, we provide guarantees on such feedback systems when sensors are characterized by solving a supervised learning…

机器学习 · 计算机科学 2021-04-20 Sarah Dean , Benjamin Recht

Model predictive control can optimally deal with nonlinear systems under consideration of constraints. The control performance depends on the model accuracy and the prediction horizon. Recent advances propose to use reinforcement learning…

机器学习 · 计算机科学 2024-11-01 Dean Brandner , Sergio Lucia

The problem of self-tuning control of cooperative manipulators forming a closed kinematic chain in the presence of an inaccurate kinematics model is addressed using adaptive machine learning. The kinematic parameters pertaining to the…

机器人学 · 计算机科学 2022-09-07 Farhad Aghili

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constraints. In particular, we show under a detectability-like…

最优化与控制 · 数学 2026-03-17 Till Preuster , Hannes Gernandt , Manuel Schaller

This paper investigates the consensus problem of multiple uncertain Lagrangian systems. Due to the discontinuity resulted from the switching topology, achieving consensus in the context of uncertain Lagrangian systems is challenging. We…

系统与控制 · 计算机科学 2017-07-13 Hanlei Wang

In this paper, the robust stability and convergence to the true state of moving horizon estimator based on an adaptive arrival cost are established for nonlinear detectable systems. Robust global asymptotic stability is shown for the case…

系统与控制 · 电气工程与系统科学 2024-09-23 Nestor N. Deniz , Marina H. Murillo , Guido Sanchez , Lucas M. Genzelis , Leonardo Giovanini

Counterfactual explanations are widely used to interpret machine learning predictions by identifying minimal changes to input features that would alter a model's decision. However, most existing counterfactual methods have not been tested…

机器学习 · 计算机科学 2026-02-03 Leonidas Christodoulou , Chang Sun

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

系统与控制 · 电气工程与系统科学 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

系统与控制 · 计算机科学 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

最优化与控制 · 数学 2007-05-23 R. Ordonez , K. M. Passino

We present a heuristic policy and performance bound for risk-sensitive convex stochastic control that generalizes linear-exponential-quadratic regulator (LEQR) theory. Our heuristic policy extends standard, risk-neutral model predictive…

最优化与控制 · 数学 2022-05-30 Nicholas Moehle