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作者：Shahab, Mohamad T.; Miller, Daniel E.
作者单位：University of Waterloo; King Abdullah University of Science & Technology
摘要：In this article, we consider the problem of tracking for a discrete-time plant with unknown plant parameters; we assume knowledge of an upper bound on the plant order, and for each admissible order we assume knowledge of a compact set in which the plant parameters lie. We carry out parameter estimation of an associated auxiliary model; indeed, for each admissible dimension, we cover the set of admissible parameters by a finite number of compact and convex sets and use an original-projection-al...
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作者：Barforooshan, Mohsen; Derpich, Milan S.; Stavrou, Photios A.; Ostergaard, Jan
作者单位：Aalborg University; Universidad Tecnica Federico Santa Maria; Royal Institute of Technology
摘要：This article studies the performance of a feedback control loop closed via an error-free digital communication channel with transmission delay. The system comprises a discrete-time noisy linear time-invariant plant, whose single measurement output is mapped into its single control input by a causal, but otherwise arbitrary, coding and control scheme. We consider a single-input multiple-output channel between the encoder-controller and the decoder-controller, which is lossless and imposes rando...
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作者：Nilsson, Gustav; Como, Giacomo
作者单位：University System of Georgia; Georgia Institute of Technology; Polytechnic University of Turin; Lund University
摘要：We study a robust control problem for dynamical flow networks. In the considered framework, traffic flows along the links of a transportation network-modeled as a capacited multigraph-and queues up at the nodes, whereby control policies determine which incoming queues are to be allocated service simultaneously, within some predetermined scheduling constraints. We first prove fundamental performance limitations on the system performance by showing that for a dynamical flow network to be stabili...
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作者：Zaitsev, Vasilii
作者单位：Udmurt State University
摘要：Continuous-time linear systems with periodic coefficients of period. are considered in this article. We study the question of the controllability interval length of periodic systems. It is known that a controllable omega-periodic system is controllable over intervals of the length k omega, where k is the degree of the minimal polynomial of the monodromy matrix. It is proved that this boundary k omega is exact and cannot be decreased. It is proved that controllability of an omega-periodic syste...
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作者：Wang, Qishao; Duan, Zhisheng; Wang, Jingyao; Wang, Qingyun; Chen, Guanrong
作者单位：Beihang University; Peking University; Xiamen University; City University of Hong Kong
摘要：An accelerated algorithm is proposed in this article for solving the linear quadratic optimal consensus problem of multiagent systems. To optimize the linear quadratic response and the final consensus state simultaneously, a nonseparable multiobjective optimization problem with coupled constraints on decision variables is formulated. The main difficulty in solving the optimization problem lies in the nonlinear coupling of objectives, which is overcome by separating the problem into two indepen...
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作者：Grussler, Christian; Damm, Tobias; Sepulchre, Rodolphe
作者单位：University of California System; University of California Berkeley; University of Kaiserslautern; Fraunhofer Gesellschaft; Fraunhofer Germany; Fraunhofer Industrial Mathematics; University of Cambridge
摘要：This article considers balanced truncation of discrete-time Hankel k-positive systems, characterized by Hankel matrices whose minors up to order k are nonnegative. Our main result shows that if the truncated system has order k or less, then it is Hankel totally positive (8-positive), meaning that it is a sum of first-order lags. This result can be understood as a bridge between two known results: the property that the first-order truncation of a positive system is positive (k = 1), and the pro...
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作者：Holta, Haavard; Aamo, Ole Morten
作者单位：Norwegian University of Science & Technology (NTNU)
摘要：We study a class of heterodirectional semilinear hyperbolic partial differential equations, where the distributed state vector is partially measured. An observer estimating the unmeasured part of the state vector is designed. The design is, for instance, applicable to multiphase 1-D fluid models, where the pressure is measured, but the distributed flow and phase concentrations are not. Furthermore, the observer is extended to systems with parametric uncertainties appearing in the dynamics of t...
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作者：Wang, Yuanjiu; Lin, Wei
作者单位：Dongguan University of Technology; University System of Ohio; Case Western Reserve University
摘要：This article studies the problem of when a globally asymptotically stabilizable nonlinear system by smooth feedback is tolerable with respect to input delay. We illustrate, by means of theoretic and practical examples, some fundamental limitations including: 1) A globally exponentially stabilizable (GES) nonlinear system may not guarantee global asymptotic stabilizability (GAS) of the nonlinear system even with an arbitrarily small input delay; 2) GAS cannot even ensure semiglobal asymptotic s...
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作者：Beuchat, Paul Nathaniel; Warrington, Joseph; Lygeros, John
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：In this article, we describe an approximate dynamic programming (ADP) approach to compute lower bounds on the optimal value function for a discrete time, continuous space, and infinite horizon setting. The approach iteratively constructs a family of lower bounding approximate value functions by using the so-called Bellman inequality. The novelty of our approach is that, at each iteration, we aim to compute an approximate value function that maximizes the point-wise maximum taken with the famil...
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作者：Joseph, Geethu
作者单位：Syracuse University
摘要：This article studies controllability of a discrete-time linear dynamical system using nonnegative and sparse inputs. These constraints on the control input arise naturally in many real-life systems, where the external influence on the system is unidirectional, and activating each input node adds to the cost of control. We derive the necessary and sufficient conditions for the controllability of the system, without imposing any constraints on the system matrices. Unlike the straightforward exte...
