Set-membership state estimation subject to uniform quantization effects and communication constraints

• Published in: Journal of the Franklin Institute Vol. 354; no. 15; pp. 7012 - 7027
• Main Authors: Liu, Shuai, Wei, Guoliang, Song, Yan, Ding, Derui
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.10.2017; Elsevier Science Ltd
• Subjects: Computer simulation; Discrete time systems; Ellipsoids; Matrix methods; Measurement; Nonlinear systems; Optimization; Parameter uncertainty; Simulation; State estimation; System dynamics; Uncertainty
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2017.08.012

In this paper, the set-membership state estimation problem is investigated for a class of discrete time-varying nonlinear systems with uniform quantization effects under the Maximum-Error-First (MEF) protocol. The uncertainty parameter is introduced to characterize the errors resulting from the uniform quantization. Meanwhile, a general sector-like nonlinear function is utilized to model the system dynamics. For the MEF protocol, the transmission judgment conditions with regard to relative errors and absolute errors are, respectively, considered to determine which sensor node is granted the access right. The main goal of this paper is to design the set-membership state estimator, for all admissible uniform quantization effects, nonlinearities and bounded noises, such that the estimated ellipsoid containing all possible true states is recursively derived. Then, the performance is quantified by solving the optimization problem with some linear matrix inequality constraints, and several sufficient conditions are established to obtain the suboptimal ellipsoids and the corresponding estimator gains. In the end, via a simulation example, the efficiency of our proposed estimator design scheme is explored.