In this paper we present a method that allows complete time-scale separation and parallelism of the H∞ optimal filtering problem for linear systems with slow and fast modes (singularly perturbed linear systems). The algebraic Riccati equation of singularly perturbed H∞ filtering problem is decoupled into two completely independent reduced-order pure-slow and pure-fast H∞ algebraic Riccati equations. The corresponding H∞ filter is decoupled into independent reduced-order, well-defined pure-slow and pure-fast filters driven by system measurements. The proposed exact closed-loop decomposition technique produces many savings in both on-line and off-line computations and allows parallel processing of information with different sampling rates for slow and fast signals.
|Original language||English (US)|
|Number of pages||5|
|Journal||IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications|
|State||Published - 2000|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering