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Optimal Control and Stabilization for It?Systems with Input Delay

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Journal of Systems Science & Complexity 2021年第5期34卷 1895-1926页

作者： WANG Hongxia ZHANG Huanshui xie lihua School of Electrical and Automation Engineering Shandong University of Science and TechnologyQingdao 266590China School of Electrical and Electronic Engineering Nanyang Technological UniversitySingapore 639798Singapore

The paper considers the linear quadratic regulation(LQR)and stabilization problems for It?stochastic systems with two input channels of which one has input *** underlying problem actually falls into the field of asymmetric information control because of the nonidentical measurability induced by the input *** contrast with single-channel single-delay problems,the challenge of the problems under study lies in the interaction between the two channels which are measurable with respect to different *** key techniques conquering such difficulty are the stochastic maximum principle and the orthogonal decomposition and reorganization technique proposed in a companion *** authors provide a way to solve the delayed forward backward stochastic differential equation(D-FBSDE)arising from the maximum *** necessary and sufficient solvability condition and the optimal controller for the LQR problem are given in terms of a new Riccati differential equation established ***,the necessary and sufficient stabilization condition in the mean square sense is provided and the optimal controller is *** idea proposed in the paper can be extended to solve related control problems for stochastic systems with multiple input channels and multiple delays.

关键词： Input delay It?systems LQR optimal control stochastic systems

PEAK COVARIANCE STABILITY OF A RANDOM RICCATI EQUATION ARISING FROM KALMAN FILTERING WITH OBSERVATION LOSSES

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Journal of Systems Science & Complexity 2007年第2期20卷 262-272页

作者： Li xie lihua xie School of Electrical and Electronic Engineering Nanyang Technological University Nanyang Avenue 639798 Singapore

We consider the stability of a random Riccati equation with a Markovian binary jump coefficient. More specifically, we are concerned with the boundedness of the solution of a random Riccati difference equation arising from Kalman filtering with measurement losses. A sufficient condition for the peak covariance stability is obtained which has a simpler form and is shown to be less conservative in some cases than a very recent result in existing literature. Furthermore, we show that a known sufficient condition is also necessary when the observability index equals one.

关键词： Kalman filtering observation losses Random Riccati equations stability stopping time

DISTRIBUTED TRACKING CONTROL OF SECONDORDER MULTI-AGENT SYSTEMS UNDER MEASU-REMENT NOISES

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Journal of Systems Science & Complexity 2014年第5期27卷 853-865页

作者： LIU Xueliang XU Bugong xie lihua School of Electronic Engineering Dongguan University of Technology Dongguan 523808 China College of automation science and engineering South China University of Technology Guangzhou 510640 China School of Electrical and Electrical Engineering Nanyang Technological University Nanyang Avenue 639798 Singapore

This paper considers a leader-following tracking control problem for second-order multiagent systems(MASs) under measurement noises and directed communication *** is assumed that each follower-agent can measure the relative positions and velocities of its neighbors in a noisy *** on a novel velocity decomposition technique,a neighbor-based control law is designed to realize local control strategies for these continuous-time *** is shown that the proposed consensus protocol can guarantee that all the follower-agents track the active *** addition,this result is extended to a more general case with switching ***,a numerical example is given for illustration.

关键词： Multi-agent systems(MASs) stochastic systems tracking control velocity decomposition

SENSOR SELECTION FOR RANDOM FIELD ESTIMATION IN WIRELESS SENSOR NETWORKS

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Journal of Systems Science & Complexity 2012年第1期25卷 46-59页

作者： Yang WENG lihua xie Wendong XIAO College of Mathematics Sichuan University School of Electrical and Electronic Engineering Nanyang Technological University School of Automation and Electrical Engineering University of Science and Technology Beijing

This paper studies the sensor selection problem for random field estimation in wireless sensor networks. The authors first prove that selecting a set of I sensors that minimize the estimation error under the D-optimal criterion is NP-complete. The authors propose an iterative algorithm to pursue a suboptimal solution. Furthermore, in order to improve the bandwidth and energy efficiency of the wireless sensor networks, the authors propose a best linear unbiased estimator for a Gaussian random field with quantized measurements and study the corresponding sensor selection problem. In the case of unknown covariance matrix, the authors propose an estimator for the covariance matrix using measurements and also analyze the sensitivity of this estimator. Simulation results show the good performance of the proposed algorithms.

关键词： BLUE covarianee matrix exchange algorithm NP-completeness quantization random field sensor selection.

Simultaneous cooperative relative localization and distributed formation control for multiple UAVs

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Science China(Information Sciences) 2020年第1期63卷 238-240+265-269页

作者： Kexin GUO Xiuxian LI lihua xie School of Electrical and Electronic Engineering Nanyang Technological University Beihang University Hangzhou Innovation Institute

Dear editor,In recent years, formation control of multiple unmanned aerial vehicles (UAVs) has been widely studied [1]. As a motion control strategy, it aims to realize UAV swarms with many practical applications such as surveillance, rescue and inspection in complex environments, especially in GPSdenied environments. Formation flights have been demonstrated by many researchers, but most still

关键词： UAV Simultaneous cooperative relative localization and distributed formation control for multiple UAVs

Stability analysis and stabilization of networked linear systems with random packet losses

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Science in China(Series F) 2009年第11期52卷 2053-2073页

作者： xie Li xie lihua Department of Automatic Control Beijing Institute of Technology Beijing 100081 China School of Electrical and Electronic Engineering Nanyang Technological University Nanyang Avenue 639798 Singapore

This paper is concerned with the stability analysis and stabilization of networked discrete-time and sampled-data linear systems with random packet losses. Asymptotic stability, mean-square stability, and stochastic stability are considered. For networked discrete-time linear systems, the packet loss period is assumed to be a finite-state Markov chain. We establish that the mean-square stability of a related discrete-time system which evolves in random time implies the mean-square stability of the system in deterministic time by using the equivalence of stability properties of Markovian jump linear systems in random time. We also establish the equivalence of asymptotic stability for the systems in deterministic discrete time and in random time. For networked sampled-data systems, a binary Markov chain is used to characterize the packet loss phenomenon of the network. In this case, the packet loss period between two transmission instants is driven by an identically independently distributed sequence assuming any positive values. Two approaches, namely the Markov jump linear system approach and randomly sampled system approach, are introduced. Based on the stability results derived, we present methods for stabilization of networked sampled-data systems in terms of matrix inequalities. Numerical examples are given to illustrate the design methods of stabilizing controllers.

关键词： networked sampled-data and discrete-time linear systems Markovian packet losses stability and stabilization Markov jump linearsystems randomly sampled linear systems

Distributed optimal consensus of multiple double integrators under bounded velocity and acceleration

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Control Theory and Technology 2019年第1期17卷 85-98页

作者： Zhirong QIU lihua xie Yiguang HONG School of Electrical and Electronic Engineering Nanyang Technological University Singapore 639798 Key Laboratory of Systems and Control Institute of Systems Science Chinese Academy of Sciences Beijing 700790 China

This paper studies a distributed optimal consensus problem for multiple double integrators under bounded velocity and acceleration. Assigned with an in dividual and private convex cost which is dependent on the position, each age nt n eeds to achieve consensus at the optimum of the aggregate cost under bounded velocity and acceleration. Based on relative positions and velocities to neighbor agents, we design a distributed control law by including the integration feedback of position and velocity errors. By employing quadratic Lyapunov functions, we solve the optimal consensus problem of double-integrators when the fixed topology is strongly connected and weight-balanced. Furthermore, if an initial estimate of the optimum can be known, then control gains can be properly selected to achieve an exponentially fast convergence under bounded velocity and acceleration. The result still holds when the relative velocity is not available, and we also discuss an extension for heterogeneous Euler-Lagrange systems by in verse dynamics control. A nu meric example is provided to illustrate the result.

关键词： Distributed optimization double integrators bounded velocity bounded input

Stochastic Channel Allocation for Nonlinear Systems with Markovian Packet Dropout

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Journal of Systems Science & Complexity 2018年第1期31卷 22-37页

作者： LONG Yushen LIU Shuai xie lihua CHEN Jie School of Electrical and Electronic Engineering Nanyang Technological University 639798 Singapore School of Control Science and Engineering Shandong University Jinan 250061 China School of Automation Beijing Institute of Technology Beijing 100081 China

This paper addresses a channel scheduling problem for group of dynamically decoupled nonlinear subsystems with actuators connected through digital communication channels and controlled by a centralized controller. Due to the limited communication capacity, only one channel can be activated and hence there is only one pair of sensor and actuator can communicate with the controller at each time instant. In addition, the communication channels are not reliable so Markovian packed dropout is introduced. A predictive control framework is adopted for controller/scheduler co-design to alleviate the performance loss caused by the limited communication capacity. Instead of sending a single control value, the controller sends a sequence of predicted control values to a selected actuator so that there are control input candidates which can be fed to the subsystem when the actuator does not communicate with the controller. A stochastic algorithm is proposed to schedule the usage of the communication medium and sufficient conditions on stochastic stability are given under some mild assumptions.

关键词： Markovian packet dropout model predictive control networked control systems nonlinear systems

Studies on the structure and catalytic performance of Cu-Zn-Al catalyst prepared by liquid-phase preparation technology under different heat treatment atmosphere

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Journal of Natural Gas Chemistry 2010年第6期19卷 611-616页

作者： Zhihua Gao Wei Huang lihua Yin Kechang xie Key Laboratory of Coal Science and Technology of Ministry of Education and Shanxi Province Taiyuan University of Technology Taiyuan 030024 Shanxi China

Cu-Zn-Al slurry catalysts were prepared using a complete liquid-phase preparation technology under different heat treatment *** catalysts were characterized using X-ray diffraction,X-ray photoelectron spectroscope,and N2 *** application in the single-step synthesis of dimethyl ether from syngas was also *** results indicate that the type of heat treatment atmosphere has an influence on the Cu species and the Cu0/Cu＋ ratio on the catalyst ***,the final Cu/Zn ratio on the catalyst surface is mainly dependent on the composition and reaction environment of the catalyst and less on the type of heat treatment *** prepared catalysts can suppress sintering of active sites at high temperatures,and the type of heat treatment atmosphere mainly affects the capability of the catalyst for methanol *** catalysts perform best using N2 as the heat treatment atmosphere.

关键词： liquid-phase preparation technology slurry reactor dimethyl ether syngas heat treatment atmosphere