Explicit computation of maximum allowable sampling period for multi-rate sampled-data nonlinear systems

被引：0

作者：

Noroozi, Navid ^{[1
]}

Karimi, Mohsen ^{[2
]}

机构：

[1] Sheikh Bahaei Univ, Dept Elect Engn, Esfahan, Iran

[2] Shiraz Univ Technol, Dept Elect & Elect Engn, Shiraz, Iran

来源：

2016 24TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE) | 2016年

关键词：

TO-STATE STABILITY; DISCRETE-TIME MODELS; STABILIZATION; EMULATION; VERSIONS;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper provides an explicit formula of the maximum allowable sampling period for a multi-rate sampled data control system with an emulated controller. In particular, we develop an appropriate hybrid model and we give sufficient conditions under which uniform global asymptotic stability of the closed-loop system is guaranteed. A numerical example is given to verify our results.

引用

页码：56 / 60

页数：5

共 19 条

[1] A characterization of integral input-to-state stability [J].

Angeli, D ;

Sontag, ED ;

Wang, Y .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1082-1097

[2]

[Anonymous], 2013, Mathematical control theory: deterministic finite dimensional systems

[3] Dissipativity of nonlinear multirate sampled-data systems under emulation design [J].

Beikzadeh, Hossein ;

Marquez, Horacio J. .

AUTOMATICA, 2013, 49 (01) :308-312

[4] A Lyapunov proof of an improved maximum allowable transfer interval for networked control systems [J].

Carnevale, Daniele ;

Teel, Andrew R. ;

Nesic, Dragan .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :892-897

[5] Hybrid Dynamical Systems [J].

Goebel, Rafal ;

Sanfelice, Ricardo G. ;

Teel, Andrew R. .

IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (02) :28-93

[6]

Khalil H., 2014, Control of Nonlinear Systems

[7] Open- and closed-loop dissipation inequalities under sampling and controller emulation [J].

Laila, DS ;

Nesic, D ;

Teel, AR .

EUROPEAN JOURNAL OF CONTROL, 2002, 8 (02) :109-125

[8] Preservation of input-to-state stability under sampling and emulation: multi-rate case [J].

Liu, X. ;

Marquez, H. J. .

INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (12) :1944-1953

[9] Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model [J].

Liu, Xi ;

Marquez, Horacio J. ;

Lin, Yanping .

AUTOMATICA, 2008, 44 (12) :3157-3161

[10] A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models [J].

Nesic, D ;

Teel, AR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (07) :1103-1122

← 1 2 →