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作者：Feng, Hongyinping; Qian, Yuhua
作者单位：Shanxi University; Shanxi University
摘要：In this article, we propose a new linear differentiator, called extended dynamics differentiator (EDD), by the extended dynamics approach. By a proper choice of extended dynamics, the EDD can make use of the prior signal dynamics as much as possible. As a result, the accuracy of the EDD can be improved greatly provided we have known some signal dynamics before signal differentiation. When all the signal dynamics are known, the EDD will reach zero derivative tracking error. When only some bound...
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作者：Redaud, Jeanne; Auriol, Jean; Niculescu, Silviu-Iulian
作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
摘要：For most networked systems found in the literature, the actuated boundary is usually located at one end. In this article, we first consider the stabilization of a chain of two interconnected subsystems, actuated at the in-between boundary. Each subsystem corresponds to coupled hyperbolic partial differential equations. Such in-domain actuation leads to higher complexity, and represents a significant difference with existing results. Then, starting from a classical controllability condition, we...
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作者：Vanspranghe, Nicolas; Ferrante, Francesco; Prieur, Christophe
作者单位：University of Perugia; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
摘要：This article deals with a one-dimensional (1-D) wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing feedbacks that only depend on the velocity at the controlled extremity. The uncontrolled boundary is subject to a nonlinear first-order term, which may represent nonlinear boundary antidamping. Initial data are taken in the optimal energy space associated with the problem. Expone...
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作者：Zhou, Tong
作者单位：Tsinghua University
摘要：Requirements on subsystems have been made clear in this article for a linear time invariant networked dynamic system (NDS), under which subsystem interconnections can be estimated from external output measurements. In this NDS, subsystems may have distinctive dynamics, and subsystem interconnections are arbitrary. It is assumed that system matrices of each subsystem depend on its (pseudo) first principle parameters (FPP) through a linear fractional transformation. It has been proven that if in...
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作者：Falsone, Alessandro; Deori, Luca; Ioli, Daniele; Garatti, Simone; Prandini, Maria
作者单位：Polytechnic University of Milan
摘要：We consider the problem of designing a disturbance compensator for a discrete time linear system, so as to optimize a performance index while satisfying probabilistic state and input constraints in steady-state conditions. The problem is formulated as a chance-constrained program that depends on the compensator parameters through the state and input stationary distributions. In this article, we focus on the Gaussian noise case and provide an analytic expression of the stationary state distribu...
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作者：Geshkovski, Borjan; Zuazua, Enrique
作者单位：Massachusetts Institute of Technology (MIT); University of Erlangen Nuremberg; University of Deusto; Autonomous University of Madrid
摘要：In this article, by using the Brunovsky normal form, we provide a reformulation of the problem consisting in finding the actuator design which minimizes the controllability cost for finite-dimensional linear systems with scalar controls. Such systems may be seen as spatially discretized linear partial differential equations with lumped controls. The change of coordinates induced by Brunovsky's normal form allows us to remove the restriction of having to work with diagonalizable system dynamics...
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作者：Han, Yingying; Zhou, Shaosheng
作者单位：Hangzhou Normal University; Hangzhou Dianzi University
摘要：This article deals with the problem of stochastic stability for a class of discrete-time Markovian jump singular systems. A time-dependent coordinate transformation is provided, under which an equivalent form of the original Markovian jump singular systems can be obtained. This equivalent form not only shows the inherent state jump behavior at the switching instants, but also plays an important role in the stochastic stability analysis. Constructing a supermartingale over some $\sigma$-algebra...
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作者：Agarwal, Etika; Sivaranjani, S.; Song, Yang; Gupta, Vijay; Antsaklis, Panos
作者单位：Purdue University System; Purdue University; Shanghai University; Purdue University System; Purdue University; University of Notre Dame
摘要：In the article entitled Distributed synthesis of local controllers for networked systems with arbitrary interconnection topologies published in the IEEE Transactions on Automatic Control, vol. 66, pp. 683-698, 2021, there were some missing terms in Lemma 1 and the definition of the messenger matrices. Here, we include these terms and suitably modify the corresponding proofs. Note that all the main claims of the original article, including distributed analysis, distributed synthesis, and compo...
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作者：Beckers, Thomas; Hirche, Sandra
作者单位：University of Pennsylvania; Technical University of Munich
摘要：The modeling and simulation of dynamical systems is a necessary step for many control approaches. Using classical, parameter-based techniques for modeling of modern systems, e.g., soft robotics or human-robot interaction, are often challenging or even infeasible due to the complexity of the system dynamics. In contrast, data-driven approaches need only a minimum of prior knowledge and scale with the complexity of the system. In particular, Gaussian process dynamical models (GPDMs) provide very...
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作者：Woodford, Nathaniel T.; Harris, Matthew W.
作者单位：Utah System of Higher Education; Utah State University
摘要：This article considers minimum time optimal control problems with linear dynamics subject to state equality constraints and control inequality constraints. In the absence of state constraints, there are well-known sufficient conditions to guarantee that optimal controls are at the boundary or extreme points of the control set. With strong observability as the key tool, analogous conditions are derived for problems subject to both extrinsic and intrinsic state constraints. Understanding these g...
