Observer Design for Linear Aperiodic Sampled-Data Systems: A Hybrid Systems Approach

Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer designed. The main peculiarity of the proposed consists use two output injection terms, one acting at sampling instants and providing an intersample injection. error dynamics are augmented timer variable triggering arrival new measurement analyzed via system tools. Using Lyapunov theory, sufficient conditions convergence provided. Relying on those conditions, optimal LMI-based gains. effectiveness approach illustrated in example.