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作者:Chen, Ci; Lewis, Frank L.; Xie, Kan; Xie, Shengli
作者单位:Guangdong University of Technology; Guangdong University of Technology; Guangdong University of Technology
摘要:As one efficient technique in reinforcement learning, policy iteration (PI) requires an initial admissible (or stabilizing for linear systems) control policy that renders the existing PI-based results to be model dependent. To attain a completely data-driven adaptive optimal control, this article suggests integrating a homotopic design with PI for unknown continuous-time nonlinear systems. Technically, we leverage a homotopic constant to construct an artificially stable system that allows zero...
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作者:Efimov, Denis; Fridman, Emilia
作者单位:Inria; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite de Lille; Centrale Lille; Tel Aviv University
摘要:For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral ...
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作者:Espindola, Eduardo; Tang, Yu
作者单位:NingboTech University
摘要:In this article, rigid-body attitude tracking using vector measurements and gyro rate is studied. A gyro-bias observer and an attitude tracking controller are first devised, which in combination ensure the exponential stability of the desired equilibrium of the overall system. To address inertia-matrix uncertainties and external disturbances, an adaptive controller relying on a modified gyro-bias observer and a disturbance estimator are then developed. Simulations are included to illustrate th...
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作者:Xu, Kang-Li; Jiang, Yao-Lin
作者单位:Xi'an Jiaotong University
摘要:In this article, we propose a new frequency-limited Riemannian geometric-nonlinear conjugate gradient model order reduction (MOR) method with the modified Armijo step-size control to solve the frequency-limited H(2 )optimal MOR problem of linear port-Hamiltonian systems. This problem is formulated as a Riemannian optimization problem on the product of several manifolds. Based on the geometric properties of the product manifold, the Riemannian gradient of the cost function is derived. Further, ...
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作者:Zhao, Shengchao; Liu, Yongchao
作者单位:Dalian University of Technology
摘要:The popular AB /push-pull method for distributed optimization problem may unify much of the existing decentralized first-order methods based on gradient tracking technique. More recently, the stochastic gradient variant of AB /push-pull method ( S - AB ) has been proposed, which achieves the linear rate of converging to a neighborhood of the global minimizer when the step-size is constant. This article is devoted to the asymptotic properties of S - AB with diminishing step-size. Specifically, ...
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作者:Kim, Young-In; Reveliotis, Spyros
作者单位:University System of Georgia; Georgia Institute of Technology
摘要:In a recent work, we introduced a new set of problems in the area of networked multiple mobile robotic systems that concern the time-optimal execution of certain coverage tasks taking place in constricted environments. That work provided the detailed problem definitions, positioned these problems in the context of the corresponding literature, formulated them as mixed integer programs (MIPs), and established their NP-hardness. This article introduces a strong combinatorial relaxation for these...
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作者:Deutscher, Joachim; Gehring, Nicole; Jung, Nick
作者单位:Ulm University; Johannes Kepler University Linz
摘要:This article considers the backstepping state feedback and observer design for hyperbolic and parabolic PDEs, which are bidirectionally interconnected in a general coupling structure. Both PDE subsystems consist of coupled scalar PDEs with the heterodirectional hyperbolic PDE subsystem subject to actuation and sensing. By making use of a multistep approach to construct the transformation into a stable target system, it is shown that a backstepping state feedback and observer design only requir...
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作者:Wang, San; Wu, Zheng-Guang
作者单位:Zhejiang University
摘要:This article focuses on settling the energy-to-peak filtering problem for Markov jump systems subject to multiple constraints. The transition probabilities (TPs) are assumed to be nonhomogeneous. Incessantly changed TPs are governed by upper-level transition probabilities (UTPs) belonging to a homogeneous Markov chain. First, a novel dual hidden Markov model is constructed to characterize the mismatched phenomena when asynchronizations occur to the system mode and the TP mode. Second, followin...
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作者:Ding, Yanling; Ma, Dan; Mao, Qi; Peng, Hui; Chen, Jie
作者单位:City University of Hong Kong; Northeastern University - China; Guangdong University of Technology
摘要:This article concerns robust consensus problems for continuous-time first-order multi-agent systems with respect to uncertain gain and phase of the agent's frequency response varying within certain ranges. We consider dynamic output feedback control protocol in the form of proportional-integral (PI) control. The agents can in general be nonminimum phase and unstable systems, which are interconnected by an undirected graph network. We seek to determine the largest ranges of gain and phase varia...
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作者:Leung, Jordan; Permenter, Frank; Kolmanovsky, Ilya V.
作者单位:University of Michigan System; University of Michigan; Toyota Motor Corporation
摘要:This article introduces an approach for reducing the computational cost of implementing linear quadratic model predictive control (MPC) for set-point tracking subject to pointwise-in-time state and control constraints. The approach consists of the following three key components: First, a log-domain interior-point method used to solve the receding horizon optimal control problems; second, a method of warm-starting this optimizer by using the MPC solution from the previous timestep; and third, a...