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Neural network controllers have shown potential in achieving superior performance in feedback control systems. Although a neural network can be trained efficiently using deep and reinforcement learning methods, providing formal guarantees…

最优化与控制 · 数学 2024-01-10 Han Wang , Zuxun Xiong , Liqun Zhao , Antonis Papachristodoulou

Linear Quadratic Regulator (LQR) is often combined with feedback linearization (FBL) for nonlinear systems that have the nonlinearity additive to the input. Conventional approaches estimate and cancel the nonlinearity based on the first…

系统与控制 · 电气工程与系统科学 2024-12-04 Takahito Fujimori

We present a constructive approach to bounded $\ell_2$-gain adaptive control with noisy measurements for linear time-invariant scalar systems with uncertain parameters belonging to a finite set. The gain bound refers to the closed-loop…

最优化与控制 · 数学 2022-02-18 Olle Kjellqvist , Anders Rantzer

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

最优化与控制 · 数学 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

系统与控制 · 电气工程与系统科学 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

系统与控制 · 电气工程与系统科学 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

In this paper, we propose LEURN: a neural network architecture that learns univariate decision rules. LEURN is a white-box algorithm that results into univariate trees and makes explainable decisions in every stage. In each layer, LEURN…

机器学习 · 计算机科学 2023-03-28 Caglar Aytekin

In this paper, we present a tube-based framework for robust adaptive model predictive control (RAMPC) for nonlinear systems subject to parametric uncertainty and additive disturbances. Set-membership estimation is used to provide accurate…

系统与控制 · 电气工程与系统科学 2020-10-21 Johannes Köhler , Peter Kötting , Raffaele Soloperto , Frank Allgöwer , Matthias A. Müller

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

系统与控制 · 电气工程与系统科学 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

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

In many learning based control methodologies, learning the unknown dynamic model precedes the control phase, while the aim is to control the system such that it remains in some safe region of the state space. In this work, our aim is to…

机器学习 · 计算机科学 2021-05-14 Farhad Farokhi , Alex Leong , Iman Shames , Mohammad Zamani

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

最优化与控制 · 数学 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

This work proposes a robust data-driven predictive control approach for unknown nonlinear systems in the presence of bounded process and measurement noise. Data-driven reachable sets are employed for the controller design instead of using…

系统与控制 · 电气工程与系统科学 2023-07-18 Mahsa Farjadnia , Amr Alanwar , Muhammad Umar B. Niazi , Marco Molinari , Karl Henrik Johansson

In a recent paper we have shown how to learn controllers for unknown linear systems using finite-sized noisy data by solving linear matrix inequalities. In this note we extend this approach to deal with unknown nonlinear polynomial systems…

最优化与控制 · 数学 2020-11-17 Meichen Guo , Claudio De Persis , Pietro Tesi

In the online non-stochastic control problem, an agent sequentially selects control inputs for a linear dynamical system when facing unknown and adversarially selected convex costs and disturbances. A common metric for evaluating control…

最优化与控制 · 数学 2025-04-24 Vijeth Hebbar , Cédric Langbort

The goal of this paper is to provide sufficient conditions for guaranteeing the Input-to-State Stability (ISS) and the Incremental Input-to-State Stability ({\delta}ISS) of Gated Recurrent Units (GRUs) neural networks. These conditions,…

系统与控制 · 电气工程与系统科学 2021-10-12 Fabio Bonassi , Marcello Farina , Riccardo Scattolini

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

系统与控制 · 电气工程与系统科学 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

In this paper, we present a nonlinear robust model predictive control (MPC) framework for general (state and input dependent) disturbances. This approach uses an online constructed tube in order to tighten the nominal (state and input)…

系统与控制 · 电气工程与系统科学 2020-06-05 Johannes Köhler , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

Stabilizing controller design and region of attraction (RoA) estimation are essential in nonlinear control. Moreover, it is challenging to implement a control Lyapunov function (CLF) in practice when only partial knowledge of the system is…

系统与控制 · 电气工程与系统科学 2023-03-20 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

This work presents several improvements to the closed-loop stability verification framework using semialgebraic sets and convex semidefinite programming to examine neural-network-based control systems regulating nonlinear dynamical systems.…

系统与控制 · 电气工程与系统科学 2025-07-15 Alvaro Detailleur , Guillaume Ducard , Christopher Onder