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作者:Vernerey, Flora; Riedinger, Pierre; Daafouz, Jamal
作者单位:Universite de Lorraine; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; Institut Universitaire de France
摘要:The primary objective of this article is to demonstrate that problems related to stability and robust control in the harmonic context can be effectively addressed by formulating them as semidefinite optimization problems, invoking the concept of infinite-dimensional Toeplitz block linear matrix inequalities (TBLMIs). One of the central challenges tackled in this study pertains to the efficient resolution of these infinite-dimensional TBLMIs. Exploiting the structured nature of such problems, w...
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作者:Wang, Xinming; Yang, Jun; Liu, Cunjia; Yan, Yunda; Li, Shihua
作者单位:Southeast University - China; Loughborough University; University of London; University College London
摘要:Safety-critical control is significant for autonomous system applications where safety is an utmost concern. Control-barrier-function (CBF)-based control has shown its promising potential and power in delivering formal safe property of dynamic nonlinear systems. The presence of disturbances, whether from matched or unmatched channels, negatively impacts CBF-based control, leading to violations of formal safety guarantees and degraded control performance. In this article, a new safety-critical ...
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作者:Battilotti, Stefano; Borri, Alessandro; Cacace, Filippo; d'Angelo, Massimiliano
作者单位:Sapienza University Rome; Consiglio Nazionale delle Ricerche (CNR); Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti (IASI-CNR); University Campus Bio-Medico - Rome Italy
摘要:This article proposes and analyzes a distributed filter where the consensus term is a virtual output rather than the local state estimate. This feature allows for reducing the data transmitted among nodes at each intermediate step, namely, instead of exchanging a vector of the dimension of the state, nodes exchange a vector of the dimension of the rank of the total output matrix. The main finding is that the convergence to the performance of the centralized Kalman filter and mean-square bounde...
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作者:Li, Xinghan; Chen, Jianqi; Zhang, Han; Wei, Jieqiang; Wu, Junfeng
作者单位:Zhejiang University; Nanjing University; Shanghai Jiao Tong University; Ericsson
摘要:Error dynamics captures the evolution of state errors between two distinct trajectories that are governed by the same dynamical system rule but initiated and/or perturbed differently. It is essential to analyze the error behavior of a state observer on a matrix Lie group for precise estimation. This article concentrates on the examination of error dynamics in affine group systems when exposed to external disturbances or random noises. To this end, we first characterize linear group systems equ...
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作者:Paarporn, Keith; Chandan, Rahul; Alizadeh, Mahnoosh; Marden, Jason R.
作者单位:University of Colorado System; University of Colorado at Colorado Springs; University of California System; University of California Santa Barbara
摘要:Strategic decisions are often made over multiple periods of time, wherein decisions made earlier impact a competitor's success in later stages. In this article, we study these dynamics in General Lotto games, a class of models describing the competitive allocation of resources between two opposing players. We propose a two-stage formulation where one of the players has reserved resources that can be strategically preallocated across the battlefields in the first stage of the game as reinforcem...
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作者:Yang, Lixin; Lv, Weijun; Xu, Yong; Tao, Jie; Quevedo, Daniel E.
作者单位:Queensland University of Technology (QUT); Guangdong University of Technology
摘要:The optimal transmission scheduling over packet length-dependent lossy networks is investigated. A set of sensors observe some linear time-invariant systems, and obtain their local state estimates using Kalman filters independently. The local state estimates are encoded in a data packet, which is sent to a remote estimator over packet length-dependent lossy networks, i.e., the packet arrival probability is exponentially decreasing with the packet length. The tradeoff arises between the packet ...
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作者:Jiang, Liangze; Wu, Zheng-Guang; Wang, Lei
作者单位:Zhejiang University
摘要:In this note, we study distributed time-varying optimization for a multiagent system. We first focus on a class of time-varying quadratic cost functions, and develop a new distributed algorithm that integrates an average estimator and an adaptive optimizer, with both bridged by a Dead Zone Algorithm. Based on a composite Lyapunov function and finite escape-time analysis, we prove the closed-loop global asymptotic convergence to the optimal solution under mild assumptions. Particularly, the int...
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作者:Wang, Shimin; Guay, Martin; Chen, Zhiyong; Braatz, Richard D.
作者单位:Massachusetts Institute of Technology (MIT); Queens University - Canada; University of Newcastle
摘要:A nonparametric learning solution framework is proposed for the global nonlinear robust output regulation problem. We first extend the assumption that the steady-state generator is linear in the exogenous signal to the more relaxed assumption that it is polynomial in the exogenous signal. In addition, a nonparametric learning framework is proposed to eliminate the construction of an explicit regressor, as required in the adaptive method, which can potentially simplify the implementation and re...
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作者:Cabral, Leonardo; Valmorbida, Giorgio; da Silva Jr, Joao Manoel Gomes
作者单位:Universidade Federal do Rio Grande do Sul; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Inria; Universidade Federal do Rio Grande do Sul
摘要:In this article, we study the regional stability of discrete-time piecewise affine (PWA) systems. The proposed method for the stability analysis uses an implicit representation of PWA systems based on ramp functions, and it builds upon Linear Matrix Inequalities to verify the nonnegativity of piecewise quadratic (PWQ) functions in a given set. Verifying the nonnegativity of PWQ functions allows us to solve Lyapunov inequalities yielding a PWQ Lyapunov function of which a level set gives an est...
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作者:Zhou, Shuaiyu; Wei, Yiheng; Cao, Jinde; Liu, Yang
作者单位:Southeast University - China; Ahlia University Bahrain; Zhejiang Normal University
摘要:The prescribed-time convergence mechanism has garnered significant attention within the fields of optimization and control, primarily attributed to its ability for precise manipulation of target completion times. This article formulates sliding manifolds with prescribed-time stability, based on which two modified zero-gradient-sum (ZGS) algorithms are established. One of the optimization algorithms is developed based on a multistage structural framework and another is based on a single-stage o...