Nonlinear Analysis: Hybrid Systems | 2019
Full-order and reduced-order l1 filtering for positive switched delay systems under the improved MADT
Abstract
Abstract In this paper, the l 1 filtering problem for positive switched time-delay systems is investigated. An improved delay-dependent MADT that takes delay-independent MADT switching as a special case is provided, and a mode-dependent and time-dependent linear copositive Lyapunov functional is presented to establish the exponential stability with the weighted l 1 performance of the filtering error system under the improved MADT. Both full-order and reduced-order filters are designed for the concerned system, and the gains of the filters can be obtained by solving a set of linear programming. Two numerical examples are presented to demonstrate the effectiveness of the proposed theories.