Filtering, control and fault detection with randomly occurring incomplete information (Q2843841)

Efficient control of dynamic systems depends upon the knowledge of their states. Such knowledge, however, is often limited due to the difficulties in modeling their complexity in a quantitative way that will allow handling of randomly occurring incomplete information. Handling of such incomplete information is though a problem on its own that if not appropriately handled can degrade the performance of a control system. For this reason, several approaches have been developed, while recently, new concepts, models and methodologies have emerged with practical significance in the fields of control engineering and signal processing. The book reviews the state of the art in this research area from the aspects of control, filtering and fault detection. Starting from an introduction to recent advances on the analysis and synthesis of problems with randomly occurring incomplete information, the book exposes within its 11 chapters the developments of the filtering, control and fault detection problems and addresses several related research problems including finite-horizon and control problems for nonlinear time-varying stochastic systems, \(H^\infty\) filtering and control problems for several classes of nonlinear discrete systems, robust \(H^\infty\) filtering and fault detection problems for Markovian jump systems, fault detection problems for discrete-time systems with randomly occurring nonlinearities. In addition, \(H^\infty\) filtering problems over sensor networks and mobile robots are discussed. Conclusions are finally summarized and future work is discussed. Beyond its usefulness to graduate and postgraduate students and researchers, the book is also a useful practical reference for engineers dealing with control, filtering and fault detection problems in networked systems.