-
作者：Ludeke, Taylor; Iwasaki, Tetsuya
作者单位：University of California System; University of California Los Angeles
摘要：A general problem encompassing output regulation and pattern generation can be formulated as the design of controllers to achieve convergence to a persistent trajectory within the zero dynamics on which an output vanishes. We develop an optimal control theory for such design by adding the requirement to minimize theH2norm of a closed-loop transfer function. Within the framework of eigen structure assignment, the optimal control is proven identical to the standard H-2 control in form. However, ...
-
作者：Olaru, Sorin; Soyer, Martin; Zhao, Zhixin; Dorea, Carlos E. T.; Kofman, Ernesto; Girard, Antoine
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Universidade Federal do Rio Grande do Norte; National University of Rosario
摘要：The present article proposes a general framework for the analysis of constraints satisfaction with respect to the trajectories of a dynamical system. The results are presented in a discrete-time framework and pertain to the class of set-theoretic methods. The main objective is to go beyond the state of the art by characterizing the intermittent constraint satisfaction along the evolution of the trajectories of a dynamical system. Two relaxed notions are introduced in this sense, one characteri...
-
作者：Quintana, Daniel; Estrada-Manzo, Victor; Bernal, Miguel
摘要：A novel discontinuous observer design for nonlinear systems, whether stable or not, is presented in this article; it removes former limitations on matching and minimum-phase conditions, Lipschitz bounds, and linearity of outputs. Based on a pair of diffeomorphisms an observer error system can be written whose nonlinear nominal model depends entirely on the error, input, and output signals, thus allowing error-dependent domains of attraction where unstable signals are estimated. Nonlinear nomin...
-
作者：Aljaberi, Saeed M.; Boiko, Igor
作者单位：Technology Innovation Institute; Khalifa University of Science & Technology
摘要：In this article, we examine singularly perturbed sliding mode (SPSM) control systems with linear plants using the Locus of a Perturbed Relay System (LPRS) method. We derive necessary conditions for the existence of chattering, which depend on both the singular perturbation parameter and the plant dynamics. Moreover, concerning the singular perturbation parameter and plant dynamics, we demonstrate that the model of the averaged or slow motions in an SPSM system is of reduced order if an ideal s...
-
作者：Buerger, Johannes; Cannon, Mark
作者单位：BMW AG; University of Oxford
摘要：An efficient optimization method is proposed for linear-quadratic optimal control problems with state and control constraints. We describe an active set solver that uses Riccati recursions to solve a sequence of equality-constrained subproblems. The main contribution is a homotopy method based on relaxing inequality constraints. This overcomes known shortcomings of Riccati active set solvers relating to their initialization and their application to problems with time-varying model data. It can...
-
作者：Mei, Wenjun; Hendrickx, Julien M.; Chen, Ge; Bullo, Francesco; Dorfler, Florian
作者单位：Peking University; Universite Catholique Louvain; Chinese Academy of Sciences; University of California System; University of California Santa Barbara
摘要：Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new microfoundation of opinion dynamics and validated via experimental data. Numerical studies indicate that this new mechanism recreates some nontrivial real-world features of opinion evolution. In this article, we conduct a thorough analysis of the weighted-median opinion dynamics. We fully characterize the eq...
-
作者：Tang, Tianyu; Ding, Xueying; Lu, Jianquan; Liu, Yang
作者单位：Southeast University - China; Zhejiang Normal University; Zhejiang Normal University
摘要：This article studies the controllability of time-varying-delayed Markovian jump Boolean control networks (DMJBCNs). To begin with, a novel augmented approach is proposed to stack the DMJBCNs into expectation form, where the iterative complexity is markedly reduced from O(N tau+1) to O((tau + 1)N). Under this way, the necessary and sufficient criterion for the fixed-time trajectory controllability of DMJBCNs is derived. Then, constructing another augmented representation for DMJBCNs, the criter...
-
作者：Narayanan, Vignesh; Zhang, Wei; Li, Jr-Shin
作者单位：Washington University (WUSTL); University of South Carolina System; University of South Carolina Columbia
摘要：Controlling large-scale dynamic population systems, known as ensemble control, is a pervasive and essential task in many emerging applications from diverse scientific domains. Previous focuses in the area of ensemble control have been placed on seeking open-loop control strategies due to the unavailability of state feedback information for each individual system in the ensemble. In this article, we develop a foundational framework for analysis and control of ensemble systems with closed feedba...
-
作者：Anand, Mahathi; Murali, Vishnu; Trivedi, Ashutosh; Zamani, Majid
作者单位：University of Stuttgart; University of Colorado System; University of Colorado Boulder; University of Munich
摘要：Hyperproperties are system properties that require quantification over multiple execution traces of a system. Hyperproperties can express several specifications of interest for cyber-physical systems-such as opacity, robustness, and noninterference-which cannot be expressed using linear time properties. This article presents for the first time a discretization-free approach for the formal verification of discrete-time dynamical systems against hyperproperties. The proposed approach involves th...
-
作者：Chen, Liyuan; Wen, Guanghui; Liu, Hongzhe; Yu, Wenwu; Cao, Jinde
作者单位：Southeast University - China; Southeast University - China; Ahlia University Bahrain
摘要：This article is devoted to addressing the distributed aggregative optimization (DAO) problem via compressed gradient tracking algorithms, where the cost function of each agent relies on the aggregation of other agents' decisions as well as its own decision. To this end, a new kind of the distributed aggregative gradient tracking algorithm with compression communication is developed based on the gradient tracking algorithm and the technique of communication compression. Under the scenario with ...
