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This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lyapunov function (CLF) is feasible can be regarded as a safe…

最优化与控制 · 数学 2024-08-19 Pol Mestres , Kehan Long , Melvin Leok , Nikolay Atanasov , Jorge Cortes

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

最优化与控制 · 数学 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

最优化与控制 · 数学 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructive control design method which leads to establishing the…

最优化与控制 · 数学 2020-06-02 Alexander Zuyev , Iryna Vasylieva

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

最优化与控制 · 数学 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

机器学习 · 计算机科学 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

最优化与控制 · 数学 2010-04-13 C. De Persis

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

系统与控制 · 电气工程与系统科学 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

最优化与控制 · 数学 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

系统与控制 · 电气工程与系统科学 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

系统与控制 · 电气工程与系统科学 2022-02-04 Asifa Yousaf

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

系统与控制 · 电气工程与系统科学 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear~control of nth-order strict-feedback form (SFF) systems.~By decomposing the SFF system to subsystems, a generic~term (namely…

最优化与控制 · 数学 2024-07-16 Janne Koivumäki , Jukka-Pekka Humaloja , Lassi Paunonen , Wen-Hong Zhu , Jouni Mattila

We investigate the important problem of certifying stability of reinforcement learning policies when interconnected with nonlinear dynamical systems. We show that by regulating the input-output gradients of policies, strong guarantees of…

系统与控制 · 计算机科学 2018-10-30 Ming Jin , Javad Lavaei

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

系统与控制 · 电气工程与系统科学 2026-01-06 Sourav Sinha , Mazen Farhood

In this paper we present a switching control strategy to incrementally stabilize a class of nonlinear dynamical systems. Exploiting recent results on contraction analysis of switched Filippov systems derived using regularization, sufficient…

系统与控制 · 计算机科学 2020-03-18 Mario di Bernardo , Davide Fiore

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

系统与控制 · 电气工程与系统科学 2022-01-03 Atta Oveisi

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

最优化与控制 · 数学 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

This paper revisits a classical challenge in the design of stabilizing controllers for nonlinear systems with a norm-bounded input constraint. By extending Lin-Sontag's universal formula and introducing a generic (state-dependent) scaling…

系统与控制 · 电气工程与系统科学 2026-04-22 Ming Li , Zhiyong Sun , Siep Weiland
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