Distributed filtering, control and synchronization. Local performance analysis methods (Q2122119)

This book is addressed to the distributed filtering, control problems and the synchronization problems for sensor networks, multiagent systems, and complex networks. These topics have attracted lots of increasing interest due to the development of wireless transmission technology, in which the large-scale and the complex couplings are two ubiquitous features that contribute significantly to the complexity of system modeling. Although the analysis and synthesis problems for large-scale systems have long been the mainstream of research topics and much effort has been made to deal with them, there still exist some distinguished differences between these new systems and the traditional large-scale systems, for example, the local communications among neighboring nodes, energy constraints, cyber-attacks, etc. Hence, a monograph which summarizes recent works is desired. This book fulfills this very well. The authors mainly studied two classes of problems. The first class contains the distributed filter design problems for several classes of discrete-time nonlinear stochastic systems subject to complex system dynamics, such as random parameter systems, parameter uncertainties, piecewise linear systems, and stochastic nonlinearities, networked-induced phenomena, such as missing measurements, censored measurements, quantization, and sensor saturations, scheduling protocols, such as round-robin protocols and event-triggering protocols, and deception attacks. By means of recursive linear matrix inequalities (RLMIs), some novel distributed filtering algorithms for online applications are developed. The second class contains the distributed controller design problem of multi-agent systems and the synchronization and the filtering problems of complex networks for several classes of nonlinear stochastic systems with random parameters. In this part, the local information from neighboring nodes is employed to present the \(H_\infty\)-consensus control performance index and \(H_\infty\) bounded synchronization performance index to cater for the local performance analysis method, respectively. The authors provide some sufficient conditions for the existence of distributed controller, and synchronization criteria and filter of complex networks that can be solved easily by using the semi-definite programming method. The book is divided into 11 chapters. In Chapter 1, the authors introduce recent advances on distributed filter and controller design, the synchronization criterion, the challenges as well as the vector dissipativity theory. In Chapter 2, the authors study the distributed \(H_\infty\) filtering problem for a class of piecewise discrete-time linear systems by the globally augmented method. In Chapter 3, they investigate the consensus filtering problem for a class of discrete time-varying systems with stochastic nonlinearities and multiple missing measurements. In Chapter 4, they study the distributed filtering problem for a class of discrete time-varying linear systems with random parameters and event-triggering protocol. In Chapter 5, they study the scalable consensus filtering problem for a class of discrete time-varying systems over sensor networks with the round-robin protocol. In Chapter 6, they investigate the partial-nodes-based scalable \(H_\infty\)-consensus filtering problem for a class of discrete time-varying systems subject to multiplicative noises and censored measurements over sensor networks. In Chapter 7, they discuss the distributed \(H_\infty\)-consensus filtering problem for a class of discrete time-varying systems subject to both multiplicative noises and deception attacks over sensor networks. In Chapter 8, they study the distributed resilient filtering problem over the finite horizon for a class of discrete time-varying nonlinear systems with stochastic perturbations and time-delays. In Chapter 9, they consider the distributed \(H_\infty\)-consensus control problem over the finite horizon for a class of discrete time varying multi-agent systems with random parameters. In Chapter 10, they investigate the finite horizon bounded \(H_\infty\) synchronization and filtering problems for the discrete time complex networks with missing measurements. Finally, in Chapter 11, they present some conclusions on this book and points out some possible research directions related to the work done in this book. This book is a nice research monograph for graduate and postgraduate students as well as researchers. It is well organized and serves as both a summary of the recent research results and a source of further research directions.