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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

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key idea is to develop a new control-theoretic regularizer for dynamics fitting rooted in the notion of…

系统与控制 · 计算机科学 2018-11-13 Sumeet Singh , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

In this study, we present a novel sliding mode safety-critical controller designed to address both stability and safety concerns in a class of nonlinear uncertain systems. The controller features two feedback loops: an inner loop designed…

系统与控制 · 电气工程与系统科学 2024-06-10 Yazdan Batmani , Mohammadreza Davoodi

In this paper we study the stabilization problem of a general class of slow-fast systems with one fast and arbitrarily many slow states. Moreover, the class of systems under study is slowly actuated, meaning that only the slow states are…

动力系统 · 数学 2017-10-05 Hildeberto Jardón-Kojakhmetov , Jacquelien M. A. Scherpen

In this paper, we consider the closed-loop control problem of nonlinear robotic systems in the presence of probabilistic uncertainties and disturbances. More precisely, we design a state feedback controller that minimizes deviations of the…

机器人学 · 计算机科学 2023-08-15 Weiqiao Han , Ashkan Jasour , Brian Williams

Recent development of contraction theory based analysis of singularly perturbed system has opened the door for inspecting differential behavior of multi time-scale systems. In this paper a contraction theory based framework is proposed for…

系统与控制 · 计算机科学 2015-12-04 Madan Mohan Rayguru , I N Kar

The problem of controller reduction has a rich history in control theory. Yet, many questions remain open. In particular, there exist very few results on the order reduction of general non-observer based controllers and the subsequent…

最优化与控制 · 数学 2022-11-30 Zhaolin Ren , Yang Zheng , Maryam Fazel , Na Li

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

最优化与控制 · 数学 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

This paper proposes a framework for adaptively learning a feedback linearization-based tracking controller for an unknown system using discrete-time model-free policy-gradient parameter update rules. The primary advantage of the scheme over…

We analyze in this paper the effect of the well known intelligent proportional controller on the stability of linear control systems. Inspired by the literature on neutral time delay systems and advanced type systems, we derive sufficient…

最优化与控制 · 数学 2023-09-14 Mohamed Camil Belhadjoudja , Mohamed Maghenem , Emmanuel Witrant

We study the control of networked systems with the goal of optimizing both transient and steady-state performances while providing stability guarantees. Linear proportional-integral (PI) controllers are almost always used in practice, but…

系统与控制 · 电气工程与系统科学 2023-06-01 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees asymptotic stability and passivity of the reduced order model as well as the positive…

数值分析 · 数学 2020-06-17 Ines Dorschky , Timo Reis , Matthias Voigt

This paper deals with the problem of control of partially known nonlinear systems, which have an open-loop stable equilibrium, but we would like to add a PI controller to regulate its behavior around another operating point. Our main…

系统与控制 · 计算机科学 2016-04-08 Stanislav Aranovskiy , Romeo Ortega , Rafael Cisneros

This paper presents extensions of finite-time stability results to some prototypical adaptive control and estimation frameworks. First, we present a novel scheme of online parameter estimation that guarantees convergence of the estimation…

最优化与控制 · 数学 2020-10-20 Kunal Garg , Parag Bobade , Dimitra Panagou

Nonlinear control-affine systems with time-varying vector fields are considered in the paper. We propose a unified control design scheme with oscillating inputs for solving the trajectory tracking and stabilization problems. This…

最优化与控制 · 数学 2023-10-31 Victoria Grushkovskaya , Alexander Zuyev

In this paper, we consider the problem of set-point tracking for a discrete-time plant with unknown plant parameters belonging to a convex and compact uncertainty set. We carry out parameter estimation for an associated auxiliary plant, and…

系统与控制 · 电气工程与系统科学 2025-08-19 Mohamad T. Shahab

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

最优化与控制 · 数学 2011-10-04 Debasish Chatterjee , Daniel Liberzon

Controlled Lagrangian and matching techniques are developed for the stabilization of relative equilibria and equilibria of discrete mechanical systems with symmetry as well as broken symmetry. Interesting new phenomena arise in the…

最优化与控制 · 数学 2007-05-23 Anthony M. Bloch , Melvin Leok , Jerrold E. Marsden , Dmitry V. Zenkov

Obtaining prescribed accuracy bounds in super-twisting sliding mode control loops often falls short in terms of the applicability of the controller in high-performance systems. This is due to the fact that the selection of the controller…

系统与控制 · 电气工程与系统科学 2022-06-29 Dimitrios Papageorgiou

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

最优化与控制 · 数学 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur