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作者:Che, Weiming; Forni, Fulvio
作者单位:University of Cambridge
摘要:We present a design framework that combines positive and negative feedback for robust stable oscillations in closed loop. The design is initially based on graphical methods, to guide the selection of the overall strength of the feedback (gain) and of the relative proportion of positive and negative feedback (balance). The design is then generalized via linear matrix inequalities. The goal is to guarantee robust oscillations to bounded dynamic uncertainties and to extend the approach to passive...
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作者:Chen, Guangwei; Vazquez, Rafael; Liu, Zhitao; Su, Hongye
作者单位:Beijing University of Technology; University of Sevilla; Zhejiang University
摘要:This article considers a class of hyperbolic-parabolic partial differential equation (PDE) system with some interior mixed-coupling terms, a rather unexplored family of systems. The family of systems we explore contains several interior-coupling terms, which makes controller design more challenging. Our goal is to design a boundary controller to exponentially stabilize the coupled system. For that, we propose a controller whose design is based on the backstepping method. Under this controller,...
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作者:Ma, Chenglin; Zhao, Huaizhong
作者单位:Shandong University; Durham University; Shandong University
摘要:In this article, a stochastic optimal control problem is considered for a continuous-time Markov chain taking values in a denumerable state space over a fixed finite horizon. The optimality criterion is the probability that the process remains in a target set before and at a certain time. The optimal value is a superadditive capacity of target sets. Under some minor assumptions for the controlled Markov process, we establish the dynamic programming principle, based on which we prove that the v...
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作者:Schaefer, Lukas; Gruber, Felix; Althoff, Matthias
作者单位:Technical University of Munich; Bosch
摘要:Ensuring robust constraint satisfaction for an infinite-time horizon is a challenging, yet crucial task when deploying safety-critical systems. In this article, we address this issue by synthesizing robust control invariant sets of perturbed nonlinear sampled-data systems. This task can be encoded as a nonconvex program that we approximate by a tailored, computationally efficient successive convexification algorithm. Based on the zonotopic representation of invariant sets, we obtain an updated...
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作者:Vu, Hieu Minh; Trinh, Minh Hoang; Tran, Quoc Van; Ahn, Hyo-Sung
作者单位:Hanoi University of Science & Technology (HUST); Hanoi University of Science & Technology (HUST); Gwangju Institute of Science & Technology (GIST)
摘要:This article studies the distance-based formation tracking problem of a group of agents with a leader-follower topology. It is assumed that the desired formation is minimally infinitesimally rigid and the agents in the formation are classified as leaders and followers. The leaders are moving in the space and their positions determine a time-varying target formation, which may differ from the desired formation by a translation and a rotation. The followers, which can sense the local displacemen...
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作者:Zhang, Lan; Lu, Maobin; Deng, Fang; Chen, Jie
作者单位:Beijing Institute of Technology; Beijing Institute of Technology; Beijing Institute of Technology; Tongji University
摘要:In this article, we address the distributed state estimation problem for both continuous-time linear time-invariant (LTI) systems and discrete-time LTI systems under switching networks. The observed system is jointly observable, i.e., each agent can only access a part of the measurement output of the observed system and cannot recover the full state by itself. The full state estimation has to be achieved by network communication of neighboring agents. In contrast to existing works, the salient...
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作者:Deshpande, Vedang M.; Bhattacharya, Raktim
作者单位:Texas A&M University System; Texas A&M University College Station; Texas A&M University System; Texas A&M University College Station
摘要:The performance of estimation algorithms depends on the available sensors and their precisions. While higher precisions of sensors provide better estimation accuracy, it may lead to unnecessarily expensive designs and higher operational costs due to the higher costs of high-precision sensing modalities. Also, higher precision can cause interference for other sensors in the environment, such as RADARs, resulting in degradation in the overall system's performance. This article presents a framewo...
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作者:Li, Changxi; Zhang, Xiao; Feng, Jun-e; Cheng, Daizhan
作者单位:Peking University; Shandong University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
摘要:Transition analysis is essential for analyzing and regulating logical control networks (LCNs). The algebraic state-space representation method, which relies on the semitensor product of matrices, has been shown to allow deterministic LCNs to be represented as linear-like systems. However, due to the inherent uncertainty, it is hard to obtain the algebraic expression of an stochastic LCN. A unified paradigm for the transition analysis of LCNs with stochastic and deterministic dynamics is provid...
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作者:Nilsson, Gustav; Coogan, Samuel
作者单位:Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; University System of Georgia; Georgia Institute of Technology; University System of Georgia; Georgia Institute of Technology
摘要:Dynamical flow networks serve as macroscopic models for, e.g., transportation networks, queuing networks, and distribution networks. While the flow dynamics in such networks follow the conservation of mass on the links, the outflow from each link is often nonlinear due to, e.g., flow capacity constraints and simultaneous service rate constraints. Such nonlinear constraints imply a limit on the magnitude of exogenous inflow that is able to be accommodated by the network before it becomes overlo...
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作者:Falconi, Lucia; Ferrante, Augusto; Zorzi, Mattia
作者单位:University of Padua
摘要:This article deals with the dynamic factor analysis problem for an ARMA process. To robustly estimate the number of factors, we construct a confidence region centered in a finite sample estimate of the underlying model, which contains the true model with a prescribed probability. In this confidence region, the problem, formulated as a rank minimization of a suitable spectral density, is efficiently approximated via a trace norm convex relaxation. The latter is addressed by resorting to the Lag...