Joint State and Event Observers for Irregularly Sampled Switching Systems

Abstract Joint estimation of states and events in linear regime-switching systems is studied under irregular sampling schemes which stem from improved sampling and quantization methods for efficient utility of communication resources. Joint observability and sampling complexity are established. Observer design and convergence analysis are developed for systems under noisy observations. It is shown that our algorithms converge strongly and guarantee a convergence rate of magnitude O (1/ N ).