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作者:Wen, Liyan; Jiang, Bin; Chen, Mou; Ma, Yajie
摘要:In this article, adaptive control designs are systematically studied for uncertain noncanonical nonlinear systems with time-varying dynamics. As a key system characterization, the relative degrees are directly defined for noncanonical nonlinear time-varying systems, and at the same time, the necessary time-varying parameter conditions are specifically derived for different system dynamics. Then, robust adaptive feedback linearization-based control designs are studied for noncanonical nonlinear...
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作者:Wu, Jiahao; Zhan, Jingyuan; Zhang, Liguo
作者单位:Beijing University of Technology
摘要:This article studies the problem of adaptive boundary observer design for a class of linear hyperbolic partial differential equations (PDEs) subject to in-domain and boundary parameter uncertainties. Based on the swapping transformation technique, a Luenberger-type boundary observer with the least squares parameter estimation law is designed, which relies only on the measurements at boundaries of the system. By employing the Lyapunov function method, we prove that the exponential convergence o...
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作者:Cheng, Bin; Lv, Yuezu; Li, Zhongkui; Duan, Zhisheng
作者单位:Tongji University; Beijing Institute of Technology; Beijing Institute of Technology; Peking University
摘要:This article studies the consensus control problem faced with three essential demands, namely, discrete control updating for each agent, discrete-time communications among neighboring agents, and the fully distributed fashion of the controller implementation without requiring any global information of the network topology. Note that the existing related results only meet one or two demands at most, which are essentially not applicable to this problem. In this article, a novel dynamic triggerin...
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作者:Heath, William P.; Carrasco, Joaquin; Zhang, Jingfan
作者单位:University of Manchester
摘要:The absolute stability of a Lurye system with a monotone nonlinearity is guaranteed by the existence of a suitable O'Shea-Zames-Falb (OZF) multiplier. We develop a numerically tractable phase condition under which there can be no suitable OZF multiplier for the transfer function of a given continuous-time plant. We provide its graphical interpretation. The condition may be tested in a systematic manner and leads to significantly improved results compared with the condition in the literature fr...
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作者:Bastianello, Nicola; Carli, Ruggero; Zampieri, Sandro
作者单位:Royal Institute of Technology; University of Padua
摘要:In this article, we propose a model-based approach to the design of online optimization algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) w.r.t. state-of-the-art methods. We focus first on quadratic problems with a time-varying linear term, and use digital control tools (a robust internal model principle) to propose a novel online algorithm that can achieve zero tracking error by modeling the cost with a dynamical system. We prove the convergence of ...
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作者:Dong, Weijie; Yin, Xiang; Li, Shaoyuan
作者单位:Shanghai Jiao Tong University; Shanghai Jiao Tong University
摘要:However, the notion of fairness is different from our setting here. Specifically, existing works assume that the dynamic of the system is fair in the sense that each transition can be executed for infinite number of times whenever it is enabled infinitely. However, the observation mappings considered therein are still statically modeled as a natural projection. In contrast, we impose fairness constraint on the observation mapping rather than the internal behavior of the system the system's dyn...
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作者:Sultangazin, Alimzhan; Pannocchi, Luigi; Fraile, Lucas; Tabuada, Paulo
作者单位:University of California System; University of California Los Angeles; University of California System; University of California Los Angeles; Scuola Superiore Sant'Anna
摘要:this article, we revisit the problem of learning a stabilizing controller from a finite number of demonstrations by an expert. By first focusing on feedback linearizable systems, we show how to combine expert demonstrations into a stabilizing controller, provided that demonstration trajectories are sufficiently long and there are at least n + 1 of them, where n is the number of states of the system being controlled. When we have more than n + 1 demonstration trajectories, we discuss how to opt...
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作者:Xu, Jiapeng; Gu, Guoxiang; Chen, Xiang
作者单位:University of Windsor; Louisiana State University System; Louisiana State University
摘要:This article proposes a new approach to studying the delay margin problem for general unstable linear time-invariant (LTI) systems, which addresses the question: What is the largest stabilizable delay range over all LTI controllers? The proposed approach converts the delay margin to the robust stabilization for LTI systems involving a positive uncertain parameter. The conformal mapping and Nevanlinna-Pick interpolation are employed to develop a unified numerical procedure for computing upper a...
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作者:Xue, Bai; Zhan, Naijun; Fraenzle, Martin; Wang, Ji; Liu, Wanwei
作者单位:Chinese Academy of Sciences; Institute of Software, CAS; Carl von Ossietzky Universitat Oldenburg; National University of Defense Technology - China
摘要:In this article, we propose novel sufficient conditions for verifying reach-avoid properties of continuous-time systems modeled by ordinary differential equations. Given a system, an initial set, a safe set, and a target set of states, we say that the reach-avoid property holds if, for all initial conditions in the initial set, any trajectory of the system starting at them will eventually, i.e., in unbounded yet finite time, enter the target set while remaining inside the safe set until that f...
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作者:Zhang, Yuan; Xia, Yuanqing; Zhan, Yufeng
作者单位:Beijing Institute of Technology
摘要:This article investigates several cost-sparsity-induced optimal input selection problems for structured systems. Given an autonomous system and a prescribed set of input links, where each input link has a nonnegative cost, the problems include selecting the minimum cost of input links and selecting the input links with the smallest possible cost while bounding their cardinality to achieve system structural controllability. Current studies show that in the dedicated input case, the former probl...