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Optimal Control Using Microscopic Models for a Pollutant Elimination Problem

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Journal of Systems Science & Complexity 2017年第1期30卷 86-100页

作者： YANG Yuecheng hu xiaoming Department of mathematics KTH SE-100 44 Stockholm Sweden.

Optimal control problem with partial derivative equation(PDE) constraint is a numericalwise difficult problem because the optimality conditions lead to PDEs with mixed types of boundary values. The authors provide a new approach to solve this type of problem by space discretization and transform it into a standard optimal control for a multi-agent system. This resulting problem is formulated from a microscopic perspective while the solution only needs limited the macroscopic measurement due to the approach of Hamilton-Jacobi-Bellman(HJB) equation approximation. For solving the problem, only an HJB equation(a PDE with only terminal boundary condition) needs to be solved, although the dimension of that PDE is increased as a drawback. A pollutant elimination problem is considered as an example and solved by this approach. A numerical method for solving the HJB equation is proposed and a simulation is carried out.

关键词： Moments multi-agent system optimal control partial differential equation.

Design of evacuation strategies with crowd density feedback

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Science China(Information Sciences) 2016年第1期59卷 47-57页

作者： Luyuan QI xiaoming hu Department of mathematics Royal Institute of Technology

A second-order stochastic model describing a large scale crowd is formulated, and an efficient evacuation strategy for agents in complex surroundings is proposed and solved numerically. The method consists in reshaping the crowd contour by making use of the crowd density feedback that is commonly available from geolocation technologies, and Kantorovich distance is used to transport the current shape into the desired one. The availability of the crowd density enables to solve the otherwise challenging forward-backward problem. Using this approach, we demonstrate via numerical results that the crowd migrates through the complex environment as designed.

关键词： crowd dynamics multi-agent system stochastic differential equation optimal control congestion control

COOPERATIVE SHIFT ESTIMATION OF TARGET TRAJECTORY USING CLUSTERED SENSORS

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Journal of Systems Science & Complexity 2014年第3期27卷 413-429页

作者： hu Jiangping hu xiaoming SHEN Tielong School of Automation Engineering University of Electronic Science and Technology of China Optimization and Systems Theory and ACCESS Linnaeus Center Royal Institute of TechnologyStockholmSweden Department of Engineering and Applied Sciences Sophia UniversityTokyoJapan

In this paper,a mathematical model for target tracking using nonlinear scalar range sensors is formulated first.A time-shift sensor scheduling strategy is addressed on the basis of a k-barrier coverage protocol and all the sensors are divided into two classes of clusters,active cluster,and submissive cluster,for *** two types of time-shift nonlinear filters are proposed for both active and submissive clusters to estimate the trajectory of the moving target with disturbed *** stochastic stability of the two filters is ***,some numerical simulations are given to demonstrate the effectiveness of the new filters with a comparison of EKF.

关键词： Cluster sensor network target tracking time-shift estimation

Identifiability and Solvability in Inverse Linear Quadratic Optimal Control Problems

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Journal of Systems Science & Complexity 2021年第5期34卷 1840-1857页

作者： LI Yibei WAHLBERG Bo hu xiaoming Optimization and Systems Theory Department of MathematicsKTH Royal Institute of TechnologySE-10044StockholmSweden Division of Decision and Control School of Electrical Engineering and Computer ScienceKTH Royal Institute of TechnologySE-10044StockholmSweden

In this paper, the inverse linear quadratic(LQ) problem over finite time-horizon is *** the output observations of a dynamic process, the goal is to recover the corresponding LQ cost function. Firstly, by considering the inverse problem as an identification problem, its model structure is shown to be strictly globally identifiable under the assumption of system invertibility. Next, in the noiseless case a necessary and sufficient condition is proposed for the solvability of a positive semidefinite weighting matrix and its unique solution is obtained with two proposed algorithms under the condition of persistent excitation. Furthermore, a residual optimization problem is also formulated to solve a best-fit approximate cost function from sub-optimal observations. Finally, numerical simulations are used to demonstrate the effectiveness of the proposed methods.

关键词： Inverse optimal control linear quadratic regulators model identifiability

Distributed adaptive Kalman filter based on variational Bayesian technique

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Control Theory and Technology 2019年第1期17卷 37-47页

作者： Chen hu xiaoming hu Yiguang HONG Rocket Force University of Engineering Xi'an Shannxi 710025 China epartment of Mathematics Royal Institute of Sweden (KTH) Sweden Institute of Systems Science and University of Chinese Academy of Sciences Chinese Academy of Sciences Beijing 700790 China

In this paper, distributed Kalman filter design is studied for linear dynamics with unknown measurement noise variance, which modeled by Wishart distribution. To solve the problem in a multi-agent network, a distributed adaptive Kalman filter is proposed with the help of variational Bayesian, where the posterior distribution of joint state and noise variance is approximated by a free-form distribution. The con vergence of the proposed algorithm is proved in two main steps: n oise statistics is estimated, where each age nt only use its local information in variational Bayesian expectation (VB-E) step, and state is estimated by a consensus algorithm in variational Bayesian maximum (VB-M) step. Finally, a distributed target tracking problem is investigated with simulations for illustration.

关键词： Distributed Kalman filter adaptive filter multi-agent system variational Bayesian

CONSENSUS CONTROL DESIGN FOR MULTI-AGENT SYSTEMS USING RELATIVE OUTPUT FEEDBACK

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Journal of Systems Science & Complexity 2014年第2期27卷 237-251页

作者： WANG Jinhuan LIU Zhixin hu xiaoming School of Sciences and School of Control Science and Engineering Hebei University of Technology Key Laboratory of Systems and Control Academy of Mathematics and Systems Science Chinese Academy of Sciences Optimization and Systems Theory and ACCESS Linnaeus Center Royal Institute of Technology

This paper studies the consensus problem of multi-agent systems in which all agents are modeled by a general linear system. The authors consider the case where only the relative output feedback between the neighboring agents can be measured. To solve the consensus problem, the authors first construct a static relative output feedback control under some mild constraints on the system model. Then the authors use an observer based approach to design a dynamic relative output feedback control. If the adjacent graph of the system is undirected and connected or directed with a spanning tree, with the proposed control laws, the consensus can be achieved. The authors note that with the observer based approach, some information exchange between the agents is needed unless the associated adjacent graph is completely connected.

关键词： Consensus decentralized control multi-agent systems observer.

PARALLEL SIMULTANEOUS STABILIZATION OF A SET OF PORT-CONTROLLED HAMILTONIAN SYSTEMS SUBJECT TO ACTUATOR SATURATION

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Journal of Systems Science & Complexity 2011年第1期24卷 120-139页

作者： Airong WEI Yuzhen WANG xiaoming hu School of Control Science and Engineering Shandong University Jinan 250061 ChinaOptimization and Systems Theory Royal Institute of Technology SE-10044 Stockholm Sweden School of Control Science and Engineering Shandong University Jinan 250061 China Optimization and Systems Theory Royal Institute of Technology SE-100 44 Stockholm Sweden ACCESS Linnaeus Center Royal Institute of Technology SE-100 44 Stockholm Sweden

This paper investigates parallel simultaneous stabilization （PSS） of a set of multi-input nonlinear Port-Controlled Hamiltonian （PCH） systems subject to actuator saturation （AS）, and proposes a number of results on the design of PSS controllers for the PCH systems with AS. Firstly, the case of two PCH systems with AS is studied. Exploring the special property of the saturation nonlinearity and the structural properties of dissipative Hamiltonian system, the two systems are combined to generate an augmented PCH system, with which some results on the control design are then obtained. When there are external disturbances in the two systems, a robust PSS controller is designed for the systems. Secondly, the case of more than two PCH systems with AS is investigated, and several new results are proposed for the PSS problem. Finally, two illustrative examples are presented to show that the stabilization controllers obtained in this paper work very well.

关键词： Actuator saturation PCH system robust parallel simultaneous stabilization

Effects of Hydrogen Ion Bombardment on Carbon Terminated Si (111) Surface Studied by LEED and AES

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Chinese Physics Letters 1994年第8期11卷 498-501页

作者： hu xiaoming LIN Zhangda State Key Laboratory of Surface Physics Institute of PhysicsAcademia SinicaBeijing 100080

Etching effects of hydrogen ions on the Si(111)-(1×1)C surface have been studied by LEED(low-energy electron diffraction)and AES(Auger electron spectroscopy).It has been found that hydrogen ions,can break the carbon-silicon covalent bonds and cause a phase transition of Si(111)-(1×1)C to the reconstructed Si(111)-(7×7)structure.

关键词： structure hydrogen AES

Observation of the Si(100)-(2×2)Phase and Measurements of Low Energy Electron Diffraction I-V Curves

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Chinese Physics Letters 1995年第9期12卷 557-560页

作者： hu xiaoming LIN Zhangda State Key Laboratory of Surface Physics Institute of PhysicsAcademia SinicaBeijing 100080

A new phase of(2×2)has been observed as a result of hydrogen ion sputter etching on a clean reconstructed Si(100)-(2×1)surface using low energy electron diffraction(LEED).It has been found that the(2×1)surface first transformed into a metastable c(4×4)phase following hydrogen ion etching and after further anneal of the sample,a(2×2)phase can be *** vs electron energy(I-V)curves for the Si(100)-(2×2)pattern have been measured using a special video LEED system.

关键词： phase Electron Observation