A Stability Analysis Framework for Multiantenna Multisensor Cyber-Physical Systems With Rank-Deficient Measurement Matrices

摘要

In this paper, we consider a cyber-physical system, where an unstable dynamic plant is monitored by multiple distributed sensors over a wireless communication network. We propose a systematic stability analysis framework for multisensor cyber-physical systems. The proposed framework provides closed-form characterizations of a stability condition for general measurement matrices with rank-deficient cases covered. Utilizing the observable and unobservable cone decomposition of the coordinate transformed system induced by the singular value decomposition of the measurement matrices, we decompose the conventional Riccati recursion of state estimation covariance. Based on the decomposed recursion, we establish closed-form sufficient requirements on the communication resources needed to achieve stabilization of multisensor cyber-physical systems using the Lyapunov drift analysis approach. The proposed framework is also compared with various representative literature and we show that significant performance gains can be achieved.