Abstract
This paper investigates the ultimately bounded filtering problem for a kind of time-delay nonlinear stochastic systems with random access protocol (RAP) and uniform quantization effects (UQEs). In order to reduce the occurrence of data conflicts, the RAP is employed to regulate the information transmissions over the shared communication channel. The scheduling behavior of the RAP is characterized by a Markov chain with known transition probabilities. On the other hand, the measurement outputs are quantized by the uniform quantizer before being transmitted via the communication channel. The objective of this paper is to devise a nonlinear filter such that, in the simultaneous presence of RAP and UQEs, the filtering error dynamics is exponentially ultimately bounded in mean square (EUBMS). By resorting to the stochastic analysis technique and the Lyapunov stability theory, sufficient conditions are obtained under which the desired nonlinear filter exists, and then the filter design algorithm is presented. At last, two simulation examples are given to validate the proposed filtering strategy.
Highlights
Owing to their great significance in signal processing and control applications, filtering problems have gradually become a mainstream topic of research in recent years
The filtering strategies existing in the literature mainly include the H∞ filtering [8,11], bounded filtering [12,13,14,15], optimal filtering [16,17,18,19,20], and variance-constrained filtering [21]
We have addressed the bounded filtering problem for a class of time-delay nonlinear stochastic systems subject to the random access protocol (RAP) scheduling and the uniform quantization effects (UQEs)
Summary
Owing to their great significance in signal processing and control applications, filtering problems have gradually become a mainstream topic of research in recent years. The past several decades have witnessed a surge of research enthusiasm towards developing various filtering algorithms, and a great many representative works have been included in the literature, see, e.g., [1,2,3,4,5,6,7,8,9,10]. It has been well recognized that the phenomenon of time-delays is frequently found in various industrial plants such as networked systems, chemical systems, and biological systems. Such a phenomenon, if not addressed properly, is likely to incur performance deteriorations or even system instability. Much research effort has been directed towards the analysis/design problems concerning filtering issues with time delays in the past few decades. There have been roughly four kinds of time delays available in the existing literature, i.e., time-varying delays, discrete
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