4.3 Review

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

Journal

MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2012, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2012/416358

Keywords

-

Funding

  1. National Natural Science Foundation of China [61273156, 61134009, 61273201, 61021002, 61004067]
  2. Engineering and Physical Sciences Research Council (EPSRC) of the UK [GR/S27658/01]
  3. Royal Society of the UK
  4. National Science Foundation of the USA [HRD-1137732]
  5. Alexander von Humboldt Foundation of Germany
  6. Division Of Human Resource Development
  7. Direct For Education and Human Resources [1137732] Funding Source: National Science Foundation

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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.

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