L1 x l1-to-L1 x l1 analysis of linear positive impulsive systems with application to the L1 x l1-to-L1 x l1 interval observation of linear impulsive and switched systems

被引：22
作者：
Briat, Corentin [1 ]
机构：
[1] NCIS, Basel, Switzerland
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2019年 / 34卷
关键词：
ROBUST STABILITY ANALYSIS; DISCRETE-TIME-SYSTEMS; SAMPLED-DATA SYSTEMS; CONVEX CONDITIONS; LPV SYSTEMS; OBSERVERS; STABILIZATION; DESIGN; POLYNOMIALS; OPTIMIZATION;
D O I：
10.1016/j.nahs.2019.03.010
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Sufficient conditions characterizing the asymptotic stability and the hybrid L-1 x l(1)-grin of linear positive impulsive systems under minimum and range dwell-time constraints are obtained. These conditions are stated as infinite-dimensional linear programming problems that can be solved using sum of squares programming, a relaxation that is known to be asymptotically exact in the present case. These conditions are then adapted to formulate constructive and convex sufficient conditions for the existence of L-1 x l(1)-to-L-1 x l(1) interval observers for linear impulsive and switched systems. Suitable observer gains can be extracted from the (suboptimal) solution of the infinite-dimensional optimization problem where the L-1 x l(1)-gain of the system mapping the disturbances to the weighted observation errors is minimized. Some examples on impulsive and switched systems are given for illustration. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：1 / 17
页数：17
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