Robust filtering for 2-D discrete-time linear systems with convex-bounded parameter uncertainty

✍ Scribed by Carlos E. de Souza; Lihua Xie; Daniel F. Coutinho

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 657 KB
• Volume: 46
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/j.automatica.2010.01.017

✦ Synopsis

This paper is concerned with the problems of robust H ∞ and H 2 filtering for 2-dimensional (2-D) discretetime linear systems described by a Fornasini-Marchesini second model with matrices that depend affinely on convex-bounded uncertain parameters. By a suitable transformation, the system is represented by an equivalent difference-algebraic representation. A parameter-dependent Lyapunov function approach is then proposed for the design of 2-D stationary discrete-time linear filters that ensure either a prescribed H ∞ performance or H 2 performance for all admissible uncertain parameters. The filter designs are given in terms of linear matrix inequalities. Numerical examples illustrate the effectiveness of the proposed filter design methods.