报 告 人：陈翔 教授，加拿大温莎大学
报告题目：Distributed Kalman Filtering over Wireless Sensor Networks in Presence of Data
内容简介：In this talk a distributed Kalman filtering is studied over the wireless sensor network, where each sensor node is required to locally estimate the state of a linear discrete-time-invariant system, using its own observation and those transmitted from its neighbors with the presence of data packet drops and assuming the TCP-like protocol. The stationary distributed Kalman filter (DKF) is first presented that minimizes the local average error variance in the steady-state at each sensor node, based on the stabilizing solution to the corresponding Modified Algebraic Riccati Equation (MARE). The existence of the stabilizing solution to the MARE is addressed by applying the stability margin, which can be computed by solving a set of linear matrix inequalities. Then the Kalman Consensus Filter (KCF), consisting of the stationary DKF and a consensus term of prior estimates, is proposed to achieve consensus among different local estimates. A necessary and sufficient condition is obtained for the Mean Square Stability of the KCF. Finally the performance of the stationary DKF and the KCF is illustrated by a numerical example.
报告人简介：Prof. Xiang Chen received his Ph. D. degree in Systems and Control from Louisiana State University in 1998. Since 2000, he has held crossappointed faculty position with Department of Electrical and Computer Engineering and Department of Mechanical, Automotive and Materials Engineering at the University of Windsor and is currently a Professor in the Department of Electrical and Computer Engineering. He has made fundamental contribution to Gaussian filtering and control as well as to the control of nonlinear systems with bifurcation. He has also made significant contribution to industrial applications of control and optimization in automotive systems and in visual sensing systems through extensive collaborative research and development activities with robotic and automotive industries. Some of the deliverables have been patented by relevant companies or became transferred technologies to relevant companies. He is currently an Associate Editor for SIAM Journal on Control and Optimization and a Technical Editor for IEEE/ASME Transaction on Mechatronics. His research has been well supported by research funds from government agencies at both federal and provincial levels in Canada and from industrial companies in both Canada and USA. He received the New Faculty Award from Canadian Foundation of Innovation and from Ontario Centre of Excellence—Materials and Manufacturing Ontario. He also received Research Excellence Award and three other research awards from the University of Windsor. His current research interests include automotive control and calibration, optimization of field sensor network for autonomous applications, and control of systems with complexities. He is a registered Professional Engineer in Ontario, Canada.