Stability and Stabilization of Two-Dimensional LTI Switched Systems with Potentially Unstable Focus

2014 ◽  
Vol 17 (3) ◽  
pp. 892-907 ◽  
Author(s):  
Liying Zhu
Keyword(s):  
Switched Systems ◽  
Two Dimensional ◽  
Stability And Stabilization ◽  
Unstable Focus

H∞ Filtering for two-dimensional discrete switched systems in the second Fornasini and Marchesini model

2020 ◽  
Vol 42 (8) ◽  
pp. 1559-1568
Author(s):  
Khalid Badie ◽  
Mohammed Alfidi ◽  
Zakaria Chalh
Keyword(s):  
Switched Systems ◽  
Lyapunov Functions ◽  
Filter Design ◽  
Linear Matrix ◽  
Two Dimensional ◽  
Reduced Order ◽  
Arbitrary Switching ◽  
Discrete Switched Systems ◽  
Error System ◽  
Filtering Problem

This paper is concerned with the H∞ filtering problem for two-dimensional (2-D) discrete switched systems described by the second Fornasini and Marchesini (FM) model. The main purpose is to design a switched filter such that the resulting filtering error system under the arbitrary switching signal is asymptotically stable with a guaranteed H∞ performance level. By using the switched Lyapunov functions, a new sufficient condition is obtained to guarantee the asymptotic stability with a H∞ performance index for the filtering error system. Based on this condition, the full- and reduced-order H∞ filter design conditions are derived and formulated in terms of linear matrix inequalities (LMIs). Two illustrative examples are utilized to show the effectiveness and less conservativeness of the proposed method.

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