Hα Filtering for Uncertain Systems with Limited Communication Capacity

This paper investigates the problem of H_infin filtering for uncertain systems subject to limited communication capacity. The parameter uncertainty belongs to a given convex polytope and the communication limitations include measurement quantization, signal transmission delay and data packet dropout, which appear typically in a network environment. The problem of H_infin filter design is first solved for a nominal system subject to the above information limitations, which is then extended to the uncertain case based on the notion of quadratic stability. To further reduce the overdesign in the quadratic framework, this paper also proposes a parameter-dependent filter design procedure, which is much less conservative than the quadratic approach. These two approaches provide alternatives for designing robust H_infin filters with different degrees of conservativeness and computational complexity. A mass-spring system is utilized to illustrate the proposed design procedures