Geometrically (Q, S, R)-Incremental Dissipativity and Incremental Stability for Switched Time-Varying Nonlinear Discrete-Time Systems

被引：1

作者：

Ren, Yuanhong ^{[1
]}

Wang, Weiqun ^{[1
]}

Wang, Yixiang ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Mech Engn, Nanjing 210094, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2020年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Geometrically (Q; S; R)-incremental dissipativity; nonlinear systems; incremental stability; DYNAMICAL-SYSTEMS; PASSIVITY; OUTPUT; STABILIZATION;

D O I：

10.1002/asjc.1854

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates geometrically (Q,S,R)-incremental dissipativity and incremental stability for switched time-varying nonlinear discrete-time systems. A geometrically (Q,S,R)-incremental dissipativity concept is proposed for switched nonlinear discrete-time systems by using multiple storage functions and multiple incremental supply rate. Furthermore, the sufficient conditions of geometrically (Q,S,R)-incremental dissipativity are given under the design of state-dependent switching law. The incremental stability conditions are derived for geometrically (Q,S,R)-incrementally dissipative switched systems. By designing of a composite state-dependent switching law, the feedback interconnected switched systems are ensured to be geometrically (Q,S,R)-incrementally dissipative. A numerical example is given to illustrate the validity of the proposed approach.

引用

页码：251 / 265

页数：15

共 32 条

[1] An intrinsic observer for a class of Lagrangian systems
Aghannan, N
Rouchon, P
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) : 936 - 945
[2] A Lyapunov approach to incremental stability properties
Angeli, D
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (03) : 410 - 421
[3] [Anonymous], 2007, NONLINEAR DYNAMICAL
[4] Passivity analysis and passification of discrete-time hybrid systems
Bemporad, Alberto
Bianchini, Gianni
Brogi, Filippo
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (04) : 1004 - 1009
[5] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
Branicky, MS
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) : 475 - 482
[6] Perspectives and results on the stability and stabilizability of hybrid systems
DeCarlo, RA
Branicky, MS
Pettersson, S
Lennartson, B
[J]. PROCEEDINGS OF THE IEEE, 2000, 88 (07) : 1069 - 1082
[7] Incremental passivity and output tracking of switched nonlinear systems
Dong, Xiaoxiao
Zhao, Jun
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (10) : 1477 - 1485
[8] Approximately Bisimilar Symbolic Models for Incrementally Stable Switched Systems
Girard, Antoine
Pola, Giordano
Tabuada, Paulo
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) : 116 - 126
[9] Input-to-state stability and interconnections of discontinuous dynamical systems
Heemels, W. P. M. H.
Weiland, S.
[J]. AUTOMATICA, 2008, 44 (12) : 3079 - 3086
[10] STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS
HILL, D
MOYLAN, P
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) : 708 - 711

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