Non-fragile H∞ Filter Design for Delta Operator Formulated Systems with Circular Region Pole Constraints: an LMI Optimization Approach
✍ Scribed by Xiang-Gui GUO; Guang-Hong YANG
- Publisher
- Elsevier
- Year
- 2009
- Weight
- 350 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1874-1029
No coin nor oath required. For personal study only.
✦ Synopsis
The problem of non-fragile H∞ filtering for a class of linear systems described by delta operator with circular region pole constraints is investigated. The purpose of the paper is to design a filter such that the error filtering system not only satisfies the prescribed circular pole constraints or D-stability constraint, but also meets the prescribed H∞ norm constraint on the transfer function from the disturbance input to the estimation error. The filter gain to be designed is assumed to have multiplicative gain variations. A sufficient condition for the existence of such a filter is obtained by using appropriate Lyapunov function and linear matrix inequality (LMI) technique. A numerical example is provided to demonstrate the effectiveness and less conservativeness of the proposed design.