In this paper, we study the problem of finite-horizon Kalman filtering for
systems involving a norm-bounded uncertain block. A new technique is presen
ted for robust Kalman filter design. This technique involves using multiple
scaling parameters that can be optimized by solving a semidefinite program
. The use of optimized scaling parameters leads to an improved design. A re
cursive design method that can be applied to real-time applications is also
proposed.