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作者:Mariano, S.; Postoyan, R.; Zaccarian, L.
作者单位:University of Melbourne; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS); University of Trento
摘要:We analyze the stability properties of Lur'e systems with piecewise continuous nonlinearities by exploiting the notion of set-valued Lie derivative for Lur'e-Postnikov Lyapunov functions. We first extend an existing result of the literature to establish the global asymptotic stability of the origin under a more general sector condition. We then present the main results of this work, namely, additional conditions under which output and state finite-time stability properties also hold for the co...
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作者:Wang, Yifan; Liu, Shuai; Cao, Xianghui; Chow, Mo-Yuen
作者单位:Southeast University - China; Shandong University; Shanghai Jiao Tong University
摘要:The increasing penetration of renewable energy resources and utilization of energy storage systems pose new challenges in maintaining power system's stability. Specifically, the cost function of regulation no longer remains smooth, which complicates the task of ensuring nominal frequency and power balance, particularly in a distributed manner. This article proposes a distributed proximal primal-dual (DPPD) algorithm, based on a modified primal-dual dynamics equipped with operator splitting tec...
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作者:Bhan, Luke; Shi, Yuanyuan; Krstic, Miroslav
作者单位:University of California System; University of California San Diego
摘要:We introduce a framework for eliminating the computation of controller gain functions in partial differential equation (PDE) control. We learn the nonlinear operator from the plant parameters to the control gains with a (deep) neural network. We provide closed-loop stability guarantees (global exponential) under an neural network (NN)-approximation of the feedback gains. While, in the existing PDE backstepping, finding the gain kernel requires (one offline) solution to an integral equation, th...
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作者:Coppens, Peter; Patrinos, Panagiotis
作者单位:KU Leuven
摘要:Control of linear dynamics with multiplicative noise naturally introduces robustness against dynamical uncertainty. Moreover, many physical systems are subject to multiplicative disturbances. In this work, we show how these dynamics can be identified from state trajectories. The least-squares scheme enables the exploitation of prior information and comes with practical data-driven confidence bounds and sample complexity guarantees. We complement this scheme with an associated control synthesis...
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作者:Isaly, Axton; Patil, Omkar Sudhir; Sweatland, Hannah M.; Sanfelice, Ricardo G.; Dixon, Warren E.
作者单位:State University System of Florida; University of Florida; University of California System; University of California Santa Cruz
摘要:Ensuring the safety (formally, forward invariance) of control systems using control barrier functions typically requires being overly conservative when the dynamics of the control system are uncertain. In this work, we develop a disturbance observer based on the robust integral of the sign of the error (RISE) control paradigm that exponentially identifies the unknown dynamics when certain gain conditions are satisfied. The estimate of the dynamics is used in an optimization-based control law t...
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作者:Kurula, Mikael
摘要:Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and well-posedness of time-varying linear port-Hamiltonian systems with boundary control and boundary observation. In this article, we complement their results by discussing the solvability of linear, infinite-dimensional time-varying port-Hamiltonian systems not necess...
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作者:Le, Duc M.; Teel, Andrew R.; Dixon, Warren E.
作者单位:University of California System; University of California Santa Barbara; State University System of Florida; University of Florida
摘要:This article focuses on a class of problems where a switched system approach is used to model intermittencies in state feedback. Specifically, a single-agent with nonlinear dynamics is tasked with following a desired path that lies in a feedback-denied region where state feedback is unavailable. As a result, the agent must use open-loop state estimates (dead-reckon) to navigate along the desired path while periodically returning to a known feedback region where the accumulated dead-reckoning e...
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作者:Annaswamy, Anuradha M.; Guha, Anubhav; Cui, Yingnan; Tang, Sunbochen; Fisher, Peter A.; Gaudio, Joseph E.
作者单位:Massachusetts Institute of Technology (MIT); Boeing
摘要:This article considers the problem of real-time control and learning in dynamic systems subjected to parameteric uncertainties. We propose a combination of a reinforcement learning (RL)-based policy in the outer loop suitably chosen to ensure stability and optimality for the nominal dynamics, together with adaptive control (AC) in the inner loop so that in real-time AC contracts the closed-loop dynamics toward a stable trajectory traced out by RL. In total, two classes of nonlinear dynamic sys...
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作者:Gruber, Felix; Althoff, Matthias
作者单位:Technical University of Munich
摘要:Equipping any controller with formal safety guarantees can be achieved by using safety filters. These filters modify the desired control input in the least restrictive way to guarantee safety. However, it is an unresolved issue to construct scalable safety filters without assuming the availability of the disturbance set. In this article, we address this issue by proposing an efficient approach to implementing safety filters. In particular, we perform offline set membership identification to ob...
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作者:Nazarzadeh, Amin; Marquez, Horacio J.
作者单位:University of Alberta
摘要:In this article, we provide a novel defence strategy for a nonlinear sampled-data control system under zero-dynamics attacks. In a sampled data structure, sampling zeros induced by discretization make a system vulnerable to deception attacks. we analyze the dissipativity in the zero-dynamics part of the system equipped with a multirate setup and find conditions on sampling rates to neutralize the attacker's target plan. We show that, under some mild conditions, using multirate sampling in the ...