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作者：Tzortzis, Ioannis; Charalambous, Charalambos D.; Hadjicostis, Christoforos N.
作者单位：University of Cyprus
摘要：This article develops a robust linear quadratic regulator (LQR) approach applicable to nonhomogeneous Markov jump linear systems with uncertain transition probability distributions. The stochastic control problem is investigated under two equivalent formulations, using i) minimax optimization theory, and ii) a total variation distance metric as a tool for codifying the level of uncertainty of the jump process. By following a dynamic programming approach, a robust optimal controller is derived,...
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作者：Lhachemi, Hugo; Prieur, Christophe; Trelat, Emmanuel
作者单位：University College Dublin; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Inria; Universite Paris Cite; Sorbonne Universite
摘要：The general context of this article is the feedback control of an infinite-dimensional system so that the closed-loop system satisfies a fading-memory property and achieves the setpoint tracking of a given reference signal. More specifically, this article is concerned with the proportional-integral (PI) regulation control of the left Neumann trace of a one-dimensional reaction-diffusion equation with a delayed right Dirichlet boundary control. In this setting, the studied reaction-diffusion eq...
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作者：Maheshwari, Chinmay; Srikant, Sukumar; Chatterjee, Debasish
作者单位：University of California System; University of California Berkeley; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
摘要：In this article, we study a constrained optimal control problem for an ensemble of control systems in a centralized setting. Each system evolves on a matrix Lie group, and must satisfy given state and control action constraints pointwise in time. In addition, the controller must be shared between the plants in the sense that at any time instant the control signal may be sent to only one plant while minimizing a given objective function. We provide first-order necessary conditions for optimalit...
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作者：Kajiyama, Yuichi; Hayashi, Naoki; Takai, Shigemasa
作者单位：University of Osaka
摘要：This article proposes a distributed optimization method for minimizing the sum of smooth and strongly convex functions with a finite communication bandwidth. Each agent has a state and an auxiliary variable to estimate the optimal solution and the average gradient of the global cost function. To cooperatively estimate the optimal solution, agents exchange the states and the auxiliary variables with their neighbors over weight-balanced networks by a dynamic encoding and decoding scheme. After t...
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作者：Leong, Alex S.; Weyer, Erik; Nair, Girish N.
作者单位：Defence Science & Technology; University of Melbourne
摘要：This article considers the identification of finite-impulse response systems, where information about the inputs and outputs of the system undergoes quantization into binary values before transmission to the estimator. In the case where the thresholds of the input and output quantizers can be adapted, we propose identification schemes that are strongly consistent for Gaussian distributed inputs and noises. The algorithms are based on the idea that certain joint probabilities of the unquantized...
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作者：Chen, Wushun; Li, Tao
作者单位：Shanghai University; Huawei Technologies; East China Normal University
摘要：We consider the economic dispatch (ED) for an Energy Internet composed of energy routers (ERs), interconnected microgrids, and main grid. The microgrid consists of several bus nodes associated with distributed generators (DGs) and intelligent control units (ICUs). We propose a distributed ED algorithm for the grid-connected microgrid, where each ICU iterates the estimated electricity price of the distribution system and the estimation for the average power mismatch of the whole microgrid by le...
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作者：Xue, Bai; Wang, Qiuye; Feng, Shenghua; Zhan, Naijun
作者单位：Chinese Academy of Sciences; Institute of Software, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要：This article explores reach set computations for perturbed delay differential equations (DDEs). The perturbed DDEs of interest in this article is a class of DDEs whose dynamics are subject to perturbations, and their solutions feature the local homeomorphism property with respect to initial states. Membership in this class of perturbed DDEs is determined by conducting sensitivity analysis of solution mappings with respect to initial states to impose a bound constraint on the time-lag term. The...
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作者：Zhang, Ji-Lie; Chen, Xiang; Gu, Guoxiang
作者单位：Southwest Jiaotong University; University of Windsor; Louisiana State University System; Louisiana State University
摘要：We study the state consensus problem for linear shift-invariant discrete-time homogeneous multiagent systems (MASs) over time-varying graphs. A novel approach based on the small gain theorem is proposed to design the consensus control protocols for both neutrally stable and neutrally unstable MASs. It is shown that the state consensus can be achieved for neutrally stable MASs under the uniform observability condition; for neutrally unstable MASs, the state consensus entails more than the unifo...
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作者：Fisher, Michael W.; Hiskens, Ian A.
作者单位：University of Michigan System; University of Michigan
摘要：The proofs of the groundbreaking theorems of [1] rely on a lemma, which states that if the unstable manifold of a first hyperbolic closed orbit intersects transversely the stable manifold of a second (possibly the same) hyperbolic closed orbit, then the dimension of the unstable manifold of the first is strictly greater than the dimension of the unstable manifold of the second. However, we provide an example meeting the conditions of the lemma where the dimensions of the unstable manifolds are...
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作者：Tomar, Mahendra Singh; Rungger, Matthias; Zamani, Majid
作者单位：University of Munich; Technical University of Munich; University of Colorado System; University of Colorado Boulder
摘要：We introduce a novel notion of invariance feedback entropy to quantify the state information that is required by any controller that enforces a given subset of the state space to be invariant. We establish a number of elementary properties, e.g., we provide conditions that ensure that the invariance feedback entropy is finite and show for the deterministic case that we recover the well-known notion of entropy for deterministic control systems. We prove the data rate theorem, which shows that t...
