Trajectory-dependent filter design for discrete-time switched linear systems

作者：Deaecto G S; Geromel J C; Daafouz J^*

来源：Nonlinear Analysis: Hybrid Systems , 2010, 4(1): 1-8.

DOI：10.1016/j.nahs.2009.06.007

• Switched systems
• Linear matrix inequalities
• Filter design

This paper is devoted to trajectory-dependent filtering design for discrete-time switched linear systems. Based on a nonconvex Lyapunov function of min type, stability conditions and quantities similar to H-2 and H-infinity norms are calculated. It is shown that the optimal filter design reduces to the solution of a convex optimization problem expressed in terms of linear matrix inequalities (LMIs). It is also shown that the global optimal filter presents an observer-based structure that is more suitable for implementation purposes due to its simplicity. Two illustrative examples are included for comparison.

• 出版日期2010-2