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作者:Possieri, Corrado; Incremona, Gian Paolo; Calafiore, Giuseppe C.; Ferrara, Antonella
作者单位:Consiglio Nazionale delle Ricerche (CNR); Polytechnic University of Milan; Polytechnic University of Turin; Consiglio Nazionale delle Ricerche (CNR); Istituto di Elettronica e di Ingegneria dell'Informazione e delle Telecomunicazioni (IEIIT-CNR); University of Pavia
摘要:The objective of this article is to introduce a novel data-driven iterative linear quadratic (LQ) control method for solving a class of nonlinear optimal tracking problems. Specifically, an algorithm is proposed to approximate the Q-factors arising from LQ stochastic optimal tracking problems. This algorithm is then coupled with iterative LQ-methods for determining local solutions to nonlinear optimal tracking problems in a purely data-driven setting. Simulation results highlight the potential...
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作者:Xie, Xiaochen; Fan, Chenchen; Kwok, Ka-Wai; Lam, James
作者单位:University of Hong Kong; University of Hong Kong; The University of Hong Kong Shenzhen Institute of Research & Innovation
摘要:In this article, a Bernstein polynomial approach is first applied to the estimation of reachable set for a class of periodic piecewise polynomial systems, whose subsystems are time-varying and can be expanded to Bernstein polynomial forms. A lemma on the negativity/positivity for a class of Bernstein polynomial matrix functions is presented, which can provide a feasible set larger than that by the existing method. Based on the integration of the presented lemma and the theory of matrix polynom...
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作者:Steentjes, Tom Robert Vince; Lazar, Mircea; Doban, Alina Ionela
作者单位:Eindhoven University of Technology; Eindhoven University of Technology; ASML Holding
摘要:In this article, two methods for constructing continuous and piecewise affine (CPA) feedback stabilizers for nonlinear systems are presented. First, a construction based on a piecewise affine interpolation of Sontag's universal formula is developed. Stability of the corresponding closed-loop system is verified a posteriori by means of a CPA control Lyapunov function and subsequently solving a feasibility problem. Second, we develop a procedure for computing CPA feedback stabilizers via linear ...
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作者:Holding, Thomas; Lestas, Ioannis
作者单位:Imperial College London; University of Cambridge
摘要:We consider the problem of convergence to a saddle point of a concave-convex function via gradient dynamics. Since first introduced by Arrow, Hurwicz, and Uzawa, such dynamics have been extensively used in diverse areas; there are, however, features that render their analysis nontrivial. These include the lack of convergence guarantees when the concave-convex function considered does not satisfy additional strictness properties and also the nonsmoothness of subgradient dynamics. Our aim in thi...
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作者:Jiang, Yuning; Oravec, Juraj; Houska, Boris; Kvasnica, Michal
作者单位:ShanghaiTech University; Slovak University of Technology Bratislava
摘要:This article is about a real-time model predictive control algorithm for large-scale, structured linear systems with polytopic control constraints. The proposed controller receives the current state measurement as an input, and computes a suboptimal control reaction by evaluating a finite number of piecewise affine functions that correspond to the explicit solution maps of small-scale parametric quadratic programming (QP) problems. We provide asymptotic stability guarantees, which can be verif...
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作者:Bastianello, Nicola; Carli, Ruggero; Schenato, Luca; Todescato, Marco
作者单位:University of Padua
摘要:In this article, we focus on the problem of minimizing the sum of convex cost functions in a distributed fashion over a peer-to-peer network. In particular, we are interested in the case in which communications between nodes are prone to failures, and the agents are not synchronized among themselves. We address the problem proposing a modified version of the relaxed alternating direction method of multipliers, which corresponds to the Peaceman-Rachford splitting method applied to the dual. By ...
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作者:Jetto, Leopoldo; Orsini, Valentina; Romagnoli, Raffaele
作者单位:Marche Polytechnic University; Carnegie Mellon University
摘要:The purpose of this article is to reduce some technical difficulties related to the complexity of stability and feasibility analysis of Model Predictive Control (MPC) as well as to reduce the complexity of the relative optimization procedure. The new approach is based on a two degrees of freedom control scheme where the output r(k) of a feedforward input estimator is used as input forcing the closed-loop system Sigma(f). This latter is given by the feedback connection of a Linear Time Invarian...
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作者:Zhao, Wenxiao; Weyer, Erik; Yin, George
作者单位:Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; University of Melbourne; Wayne State University
摘要:In this article, nonparametric identification of nonlinear autoregressive systems with exogenous inputs (NARX) is considered; a general criterion function is introduced for estimating the value of the nonlinear function within the system at any fixed point. The criterion function is constructed using a kernel together with a convex objective function. Not only does this framework include the classical kernel-based weighted least-squares estimator but also the kernel-based L-l, l >= 1 criteria ...
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作者:Briat, Corentin; Khammash, Mustafa
摘要:The ergodicity and the output-controllability of stochastic reaction networks have been shown to be essential properties to fulfill to enable their control using, for instance, antithetic integral control (Briat, Gupta, Khammash, Antithetic integral feedback ensures robust perfect adaptation in noisy biomolecular networks, Cell Syst., vol. 2, pp. 17-28, 2016). We propose here to extend those properties to the case of uncertain networks. To this aim, the notions of interval, robust, sign, and s...
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作者:Li, Dan; Martinez, Sonia
作者单位:University of California System; University of California San Diego
摘要:This article considers a class of real-time stochastic optimization problems dependent on an unknown probability distribution. In the considered scenario, data are streaming frequently while trying to reach a decision. Thus, we aim to devise a procedure that incorporates samples (data) of the distribution sequentially and adjusts decisions accordingly. We approach this problem in a distributionally robust optimization framework and propose a novel Online Data Assimilation Algorithm (OnDA Algor...