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Decentralized control for multi-sensors networked systems with different transmission delays and packet dropouts
Institution:1. Institute of Complexity Science, College of Automation, Qingdao University, Qingdao 266071, China;2. College of Engineering, Qufu Normal University,Rizhao 276800, China;3. Department of Information Engineering, The Chinese University of Hong Kong, 999077, Hong Kong, China;1. Intelligent Robotics and Automation Group, Federal University of Rio Grande, Rio Grande, Brazil;2. Power Electronics and Control Research Group, Federal University of Santa Maria, Santa Maria, Brazil;1. School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China;2. Institute of Complexity Science, Qingdao University, Qingdao 266071, China;1. U.S. Pakistan Center for Advanced Studies in Energy (USPCASE), National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan;2. School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan;1. Dalian University of Technology, Dalian, China;2. Central South University, Changsha, China
Abstract:In this paper, the linear quadratic (LQ) optimal decentralized control and stabilization problems are investigated for multi-sensors networked control systems (MSNCSs) with multiple controllers of different information structure. Specifically, for a MSNCS, in view of the packet dropouts and the transmission delays, each controller may access different information sets. To begin with, the sufficient and necessary solvability conditions for the LQ decentralized control problems are developed. Consequently, for the purpose of deriving the optimal decentralized control strategy, an innovative orthogonal decomposition method is proposed to decouple the forward and backward stochastic difference equations (FBSDEs) from the maximum principle. In the following, we show that the optimal decentralized controller can be calculated according to a set of Riccati-type equations. Finally, a stabilizing controller is derived for the stabilization problem.
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