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A Review on Analysis and Synthesis of Nonlinear Stochastic Systems with Randomly Occurring Incomplete Information

机译：随机发生信息不完全的非线性随机系统分析与综述

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摘要

In the context of systems and control, incomplete information refers to a dynamical system in which knowledge about the system states is limited due to the difficulties in modeling complexity in a quantitative way. The well-known types of incomplete information include parameter uncertainties and norm-bounded nonlinearities. Recently, in response to the development of network technologies, the phenomenon of randomly occurring incomplete information has become more and more prevalent. Such a phenomenon typically appears in a networked environment. Examples include, but are not limited to, randomly occurring uncertainties, randomly occurring nonlinearities, randomly occurring saturation, randomly missing measurements and randomly occurring quantization. Randomly occurring incomplete information, if not properly handled, would seriously deteriorate the performance of a control system. In this paper, we aim to survey some recent advances on the analysis and synthesis problems for nonlinear stochastic systems with randomly occurring incomplete information. The developments of the filtering, control and fault detection problems are systematically reviewed. Latest results on analysis and synthesis of nonlinear stochastic systems are discussed in great detail. In addition, various distributed filtering technologies over sensor networks are highlighted. Finally, some concluding remarks are given and some possible future research directions are pointed out.
机译：在系统和控制的上下文中，不完整的信息指的是动态系统，其中由于难以以定量方式对复杂性进行建模，因此有关系统状态的知识受到限制。不完整信息的众所周知类型包括参数不确定性和范数界的非线性。近来，随着网络技术的发展，随机出现的不完整信息的现象变得越来越普遍。这种现象通常出现在网络环境中。示例包括但不限于随机发生的不确定性，随机发生的非线性，随机发生的饱和度，随机丢失的测量结果和随机发生的量化。如果处理不当，则随机出现的不完整信息将严重降低控制系统的性能。在本文中，我们旨在调查具有随机发生的不完整信息的非线性随机系统的分析和综合问题的一些最新进展。系统地回顾了过滤，控制和故障检测问题的发展。详细讨论了非线性随机系统的分析和综合的最新结果。此外，重点介绍了传感器网络上的各种分布式过滤技术。最后，给出了结论，并指出了今后可能的研究方向。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第12期|416358.1-416358.15|共15页
  • 作者

    Hongli Dong; Zidong Wang; Xuemin Chen; Huijun Gao;

  • 作者单位

    College of Electrical and Information Engineering, Northeast Petroleum University, Daqing 163318, China,Institute for Automatic Control and Complex Systems, University of Duisburg-Essen 47057, Germany;

    Department of Automation, Tsinghua University, Beijing 100084, China,Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK;

    Department of Engineering Technology, Texas Southern University, 3100 Cleburne Street, Houston, TX 77004, USA;

    Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China;

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