OBSERVER-BASED CONTROL FOR A CLASS OF HYBRID LINEAR AND NONLINEAR SYSTEMS

被引：0
|
作者：
Alessandri, A. [1 ]
Bedouhene, F. [2 ]
Bouhadjra, D. [1 ,3 ]
Zemouche, A. [3 ]
Bagnerini, P. [1 ]
机构：
[1] Univ Genoa, DIME, Via Opera Pia 15, I-16145 Genoa, Italy
[2] Univ Mouloud Mammeri Tizi Ouzou, Lab Math Pures & Appl, BP 17 RP, Tizi Ouzou 15000, Algeria
[3] Univ Lorraine, Ctr Rech Automat Nancy, CNRS, UMR 7039, F-54400 Cosnes Et Romain, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 04期
关键词：
Switching system; observer; output feedback; linear matrix inequality; SWITCHED SYSTEMS; TIME; STABILIZATION; DESIGN;
D O I：
10.3934/dcdss.2020376
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An approach to output feedback control for hybrid discrete-time systems subject to uncertain mode transitions is proposed. The system dynamics may assume different modes upon the occurrence of a switching that is not directly measurable. Since the current system mode is unknown, a regulation scheme is proposed by combining a Luenberger observer to estimate the continuous state, a mode estimator, and a controller fed with the estimates of both continuous state variables and mode. The closed-loop stability is ensured under suitable conditions given in terms of linear matrix inequalities. Since complexity and conservativeness grow with the increase of the modes, we address the problem of reducing the number of linear matrix inequalities by providing more easily tractable stability conditions. Such conditions are extended to deal with systems having also Lipschitz nonlinearities and affected by disturbances. The effectiveness of the proposed approach is shown by means of simulations.
引用
收藏
页码：1213 / 1231
页数：19
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