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作者:Khalin, Anatolii; Efimov, Denis; Ushirobira, Rosane
作者单位:Universite de Lille; Centre National de la Recherche Scientifique (CNRS); Inria
摘要:This article considers the state estimation problem for a class of nonautonomous nonlinear systems. We propose conditions on the existence and stability of a nonlinear observer based on the invariant manifold approach in both continuous- and discrete-time scenarios. The requirements are formulated using linear matrix equalities (LME) and inequalities (LMI). We present two possible applications of the result, a reduced-order observer (e.g., an observer for unmeasured states) and regression in l...
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作者:Yan, Yitao; Bao, Jie; Huang, Biao
作者单位:University of New South Wales Sydney; University of Alberta
摘要:This article develops a method to determine an approximate behavior of a given linear time-invariant dynamical system from noise-corrupted data, which can be used for both data-driven simulation and predictive control using the behavioral systems theory. The system input and output are assumed to be measured subject to additive zero-mean white noise with known covariance. From the measured big data set, an approximated representation of the true behavior of the system is constructed using the ...
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作者:Zhou, Quan; Marecek, Jakub
作者单位:Imperial College London; Czech Technical University Prague
摘要:There has been much recent progress in time series forecasting and estimation of system matrices of linear dynamical systems. We present an approach to both problems based on an asymptotically convergent hierarchy of convexifications of a certain nonconvex operator-valued problem, which is known as noncommutative polynomial optimization problem. We present promising computational results, including a comparison with methods implemented in MATLAB System Identification Toolbox.
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作者:Kang, Wei; Sun, Kai; Xu, Liang
作者单位:United States Department of Defense; United States Navy; Naval Postgraduate School; University of California System; University of California Santa Cruz; University of Tennessee System; University of Tennessee Knoxville; United States Department of Defense; United States Navy; United States Naval Research Laboratory
摘要:This article deals with a special type of Lyapunov functions, namely the solution of Zubov's equation.Such a function can be used to characterize the exact boundary of the domain of attraction for systems of ordinary differential equations. In Theorem 2, we derive and prove an integral form solution to Zubov's equation. For numerical computation, we develop two data-driven methods. One is based on the integration of an augmented system of differential equations; and the other one is based on d...
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作者:Seeber, Richard; Koch, Stefan; Horn, Martin
作者单位:Graz University of Technology
摘要:A nonlinear multivariable control scheme for linear time-invariant plants is presented that is capable of rejecting unmatched disturbances that are sufficiently often differentiable. It is based on the Youla parameterization in state space. Robust exact sliding-mode differentiators are employed for the realization of improper Youla parameters. Implementation complexity is optimized by minimizing the total number of required differentiator states. The resulting closed loop is shown to be input-...
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作者:Wang, Mengxi; Liu, Tengfei; Jiang, Zhong-Ping
作者单位:Northeastern University - China; New York University
摘要:This article studies the saturated stabilization problem of a chain of perturbed integrators subject to measurement errors. Inspired by the technique of nested saturation loops, a key strategy is to employ saturated set-valued maps and a generalized coordinate transformation to overcome the difficulty caused by the measurement errors. It is shown that, with the refined controller design, the closed-loop system is transformed into an interconnection of subsystems, each of which can be rendered ...
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作者:LoCicero, Ethan J.; Bridgeman, Leila J.
作者单位:Duke University
摘要:Practical controllers for large-scale systems must be low-order and sparsely communicating, as well as high-performing and robust to uncertainty. H-2-conic design addresses the latter requirements where passivity and H(infinity )methods are inapplicable, but it has yet to address the former. Here, the fixed-order H-2-conic design problem is posed as a series of convergent approximations. The resulting synthesis algorithm uses all controller parameters as explicit design variables, and is guara...
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作者:Zheng, Yanling; Liu, Qingshan; Wang, Jun
作者单位:Southeast University - China; Southeast University - China; Purple Mountain Laboratories; City University of Hong Kong; City University of Hong Kong
摘要:This technical note presents a specified-time convergent multiagent system for distributed optimization with a time-varying objective function subject to equality constraints. Different from the static optimal solutions to most existing distributed optimization problems, the optimal solutions are time varying due to the time-varying objective function in this problem. A distributed protocol law is designed to ensure all the agents' convergence to feasible and suboptimal solutions within a spec...
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作者:Hayano, Akihito; Takai, Shigemasa
作者单位:University of Osaka
摘要:A certain intersection-based architecture for decentralized supervisory control of discrete event systems was proposed in the literature. This existing intersection-based architecture can be regarded as an antipermissive one. In this article, we propose a dual architecture, named the permissive intersection-based architecture, and develop a general architecture by combining the antipermissive and permissive ones. Then, we define a general notion of state-estimator-intersection-based coobservab...
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作者:Li, Yafeng; Ding, Steven X.; Liu, Guopin; Hua, Changchun
作者单位:Yanshan University; University of Duisburg Essen
摘要:This article addresses the distributed output feedback leader-following consensus problem for high-order nonlinear multiagent systems (MASs) with time delays and disturbances under the directed network. Using sampled relative outputs to neighbors and the discrete control input, the continuous-discrete time compensator is constructed in each agent to compensate for the consensus errors, where the sampling time instants can be asynchronous and aperiodic without exceeding an explicit upper bound ...