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作者:Saoud, Adnane; Maghenem, Mohamed; Loria, Antonio; Sanfelice, Ricardo G.
作者单位:Mohammed VI Polytechnic University; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; University of California System; University of California Santa Cruz
摘要:In this article, we propose a framework of stability analysis for a class of linear nonautonomous hybrid systems, with solutions evolving in continuous time governed by an ordinary differential equation and undergoing instantaneous changes governed by a difference equation. Furthermore, the jumps may also be triggered by exogeneous hybrid signals. The proposed framework builds upon a generalization of notions of persistency of excitation (PE) and uniform observability (UO), which we redefine t...
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作者:Schlotterbeck, Constanza; Gallegos, Javier A.; Teel, Andrew R.; Nunez, Felipe
作者单位:Pontificia Universidad Catolica de Chile; University of California System; University of California Santa Barbara
摘要:Stability guarantees in networked control systems (NCSs) have traditionally been addressed in the deterministic setting using the concepts of maximum allowable transmit interval and maximum allowable delay (MAD). Motivated by the widespread use of nondeterministic networks in modern industrial NCSs, this note aims to extend the analysis to the stochastic setting by considering a setup where the NCS faces stochastic communication delays, which take values over the MAD with positive probability....
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作者:Adil, Ania; N'Doye, Ibrahima; Laleg-Kirati, Taous-Meriem
作者单位:Universite Mouloud Mammeri de Tizi Ouzou; King Abdullah University of Science & Technology; King Abdullah University of Science & Technology; King Abdullah University of Science & Technology
摘要:In this article, we propose a prescribed-time observer for nonlinear triangular systems with delayed outputs. The proposed observer is endowed with prescribed-time stability and relies on a scaling function and Lyapunov-Razumikhin-based conditions. We establish that the observer design derives a delay-independent stability condition in terms of linear matrix inequalities that guarantees prescribed-time convergence to zero of the estimation error. Additionally, we derive an explicit relation be...
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作者:Costa, Oswaldo L. V.; de Oliveira, Andre M.
作者单位:Universidade de Sao Paulo; Universidade Federal de Sao Paulo (UNIFESP)
摘要:This article studies the L-2-L-infinity (also known as energy-to-peak) static output feedback control for continuous-time semi-Markov jump systems, with the jump times modeled through phase-type distributions. It is also assumed that the post-jump state variable of the semi-Markov model is not directly accessible and the controller has only access to an observed process related to this variable. The goal is to provide sufficient conditions for the design of static output feedback controllers s...
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作者:Rehan, Ahmed; Boiko, Igor; Zweiri, Yahya
作者单位:Khalifa University of Science & Technology; Khalifa University of Science & Technology; Khalifa University of Science & Technology
摘要:Chattering in sliding mode (SM) control is known as fast self-excited periodic motions (oscillations) that occur due to the combination of two factors: nonlinearities that are not Lipschitz continuous and additional dynamics of actuators and sensors (the dynamics not accounted for in SM control system design). It is found in the present research that under certain combinations of parameters of the discontinuous homogeneous SM controller and actuator, the chattering is manifested not as periodi...
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作者:Arnstrom, Daniel; Broman, David; Axehill, Daniel
作者单位:Uppsala University; Royal Institute of Technology; Linkoping University
摘要:We propose the first method that determines the exact worst-case execution time (WCET) for implicit linear model predictive control (MPC). Such WCET bounds are imperative when MPC is used in real time to control safety-critical systems. The proposed method applies when the quadratic programming solver in the MPC controller belongs to a family of well-established active-set solvers. For such solvers, we leverage a previously proposed complexity certification framework to generate a finite set o...
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作者:Zhao, Dongdong; Kang, Yu; Zhao, Yun-Bo; Xu, Li; Yan, Shi
作者单位:Lanzhou University; Chinese Academy of Sciences; University of Science & Technology of China, CAS; Akita Prefectural University
摘要:The notion of constrained common invariant subspaces (CCISs) is proposed in this article as a generalization of the well-known invariant subspace to study the structural properties of multiple matrices. Specifically, some necessary and sufficient conditions for the existence of a CCIS are established to provide a methodology to compute such a CCIS. Then, the properties of CCISs and their relation to common eigenvectors are revealed. The existence of common eigenvectors leads to the existence o...
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作者:Meng, Yiming; Liu, Jun
作者单位:University of Waterloo
摘要:Stability and safety are crucial in safety-critical control of dynamical systems. The reach-avoid-stay objectives for deterministic dynamical systems can be effectively handled by formal methods as well as Lyapunov methods with soundness and approximate completeness guarantees. However, for continuous-time stochastic dynamical systems, probabilistic reach-avoid-stay problems are viewed as challenging tasks. Motivated by the recent surge of applications in characterizing safety-critical propert...
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作者:Yang, Zixuan; Wang, Xiaofan; Wang, Lin
作者单位:Shanghai Jiao Tong University; Shanghai Jiao Tong University; Shanghai University; Shanghai Institute of Technology
摘要:The controllability of networked sampled-data systems with zero-order holders on the control and transmission channels is explored, where single- and multirate sampling patterns are considered, respectively. The effects of sampling on the controllability of networked systems are analyzed, with some necessary and/or sufficient controllability conditions derived. Different from the sampling control of single systems, the pathological sampling of node systems could be eliminated by an appropriate...
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作者:Lee, Donghwan
作者单位:Korea Advanced Institute of Science & Technology (KAIST)
摘要:Q-learning is known as one of the fundamental reinforcement learning (RL) algorithms. Its convergence has been the focus of extensive research over the past several decades. Recently, a new finite-time error bound and analysis for Q-learning was introduced using a switching system framework. This approach views the dynamics of Q-learning as a discrete-time stochastic switching system. The prior study established a finite-time error bound on the averaged iterates using Lyapunov functions, offer...