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作者：Alsalti, Mohammad; Lopez, Victor G.; Berberich, Julian; Allgoewer, Frank; Mueller, Matthias A.
作者单位：Leibniz University Hannover; University of Stuttgart
摘要：In this article, we present an extension of Willems' Fundamental Lemma to the class of multi-input-multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources of uncertainty are considered. First, the unknown linearizing input is inexactly approximated by a set of basis functions. Second, the measured output data is contaminated by additive noise. Furthermore, we propose an approach to approximat...
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作者：Atamas, Ivan; Dashkovskiy, Sergey; Slynko, Vitalii
作者单位：University of Wurzburg
摘要：In this article, we develop new methods to construct a Lyapunov function for 1-D linear hyperbolic equations with variable coefficients. The main focus is on the nonstrictly hyperbolic case for which we give an example demonstrating that existing approaches cannot provide sufficient conditions for the asymptotic stability, but our approach does. Sufficient conditions for exponential L-2-stability for a connected 2 x 2 system of linear 1-D hyperbolic systems are obtained. By means of examples, ...
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作者：Cheng, Jun; Park, Ju H.; Wu, Zheng-Guang
作者单位：Guangxi Normal University; Yeungnam University; Hunan University
摘要：This article investigates the asynchronous controller design issue for Markov jump Lur'e systems with singular perturbations within a fixed time interval. For broader practical applications, the variation of system modes is regulated by a switched nonhomogeneous Markov process that corresponded to both lower level nonhomogeneous stochastic jumping and higher level deterministic switching. By resorting to the hidden nonhomogeneous-Markov model, an asynchronous control law that relies on the det...
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作者：Xu, Xiaodong; Yuan, Yuan; Dubljevic, Stevan; Yin, Shen
作者单位：Central South University; Changsha University of Science & Technology; University of Alberta
摘要：This article considers the problem of adaptive output regulation of a class of 1-D anticollocated hyperbolic partial differential equations (PDEs). The model is subject to unknown scaled parameters in both the boundary condition and boundary measurement. An adaptive boundary observer, providing online estimates of the system state and parameters, is designed. Particularly, to realize that the pure boundary state at left side tracks a reference signal, a challenging problem with the estimate of...
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作者：Yao, Weijia; Lin, Bohuan; Anderson, Brian D. O.; Cao, Ming
作者单位：Hunan University; University of Groningen; University of Groningen; Australian National University
摘要：In the vector-field-guided path-following problem, a sufficiently smooth vector field is designed such that its integral curves converge to and move along a 1-D geometric desired path. The existence of singular points where the vector field vanishes creates a topological obstruction to global convergence to the desired path and some associated topological analysis has been conducted in our previous work. In this article, we further show that the domain of attraction of the desired path, which ...
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作者：Daeichian, Abolghasem
作者单位：Arak University
摘要：As a specific trait of quantum mechanics, quantum superposition is exploited in many applications, such as quantum computation. This article proposes a feedback scheme to stabilize the desired quantum superposition states. To this aim, a new factorization is derived for the stochastic master equation of a quantum system which is driven by the field in the superposition of coherent states. Then, a feedback scheme is proposed, which consists of a quantum system driven by the field in the superpo...
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作者：Doan, Thinh T. T.
作者单位：Virginia Polytechnic Institute & State University
摘要：Two-time-scale stochastic approximation, a generalized version of the popular stochastic approximation, has found broad applications in many areas including stochastic control, optimization, and machine learning. Despite its popularity, theoretical guarantees of this method, especially its finite-time performance, are mostly achieved for the linear case while the results for the nonlinear counterpart are very sparse. Motivated by the classic control theory for singularly perturbed systems, we ...
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作者：Chen, Guang-Yong; Gan, Min; Chen, Jing; Chen, Long
作者单位：Fuzhou University; Qingdao University; Jiangnan University; University of Macau
摘要：This article presents a novel online identification algorithm for nonlinear regression models. The online identification problem is challenging due to the presence of nonlinear structure in the models. Previous works usually ignore the special structure of nonlinear regression models, in which the parameters can be partitioned into a linear part and a nonlinear part. In this article, we develop an efficient recursive algorithm for nonlinear regression models based on analyzing the equivalent f...
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作者：Chen, Sheng; Li, Tao; Zang, Qiang; Liu, Yunping
作者单位：Nanjing University of Information Science & Technology
摘要：this article, a suite of theoretic tools is provided for discontinuous control design and finite-time stability analysis of a class of stochastic differential systems. The notion of Filippov's solutions for stochastic differential systems is proposed, and the corresponding solution existence problem is explored. The classical Ito differentiation formula is generalized for quasi-C?(2)(0) (R-n, R)-class functions along Filippov's solutions of stochastic differential systems, and two involved set...
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作者：Faqir, Omar J.; Kerrigan, Eric C.
作者单位：Imperial College London; Imperial College London
摘要：We consider the effect of using approximate system predictions in event-triggered control schemes. These approximations often result from using numerical transcription methods for solving continuous-time optimal control problems. Mesh refinement can guarantee upper bounds on the error in the differential equations that model the system dynamics. We employ the accuracy guarantees of a mesh refinement scheme to show that the proposed event-triggering scheme, which compares the measured system wi...
