Interval state observer design for fractional systems

被引：0

作者：

Hamdi, S. E. ^{[1
]}

Amairi, M. ^{[1
]}

Aoun, M. ^{[1
]}

Abdelkrim, M. N. ^{[1
]}

机构：

[1] Univ Gabes, Natl Engn Sch Gabes ENIG, Res Unit Modeling Anal & Control Syst MACS 06 UR, Gabes 6029, Tunisia

来源：

2013 10TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD) | 2013年

关键词：

fractional system; interval analysis; initial value problem; observer; bounded error; INITIAL-VALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; VALIDATED SOLUTIONS;

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 presents a design method for interval state observer for fractional systems in a bounded-error context. A causal observer based on prediction-correction approach is proposed. The prediction part consists on a validated solving of an Initial Value Problem (IVP) for a Fractional Differential Equation (FDE) and the correction part uses set inversion algorithm. A numerical example is presented to show the effectiveness of the proposed design method.

引用

页数：6

共 19 条

[1] A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation [J].

Amairi, M. ;

Aoun, M. ;

Najar, S. ;

Abdelkrim, M. N. .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (05) :2162-2168

[2]

Amairi M., 2010, INT REV MODELLING SI, V3, P265

[3]

Amairi M., 2011, SYSTEME ORDRE NONENT

[4]

[Anonymous], 2005, THESIS U BORDEAUX

[5]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[6] Numerical simulations of fractional systems: An overview of existing methods and improvements [J].

Aoun, M ;

Malti, R ;

Levron, F ;

Oustaloup, A .

NONLINEAR DYNAMICS, 2004, 38 (1-4) :117-131

[7] Solution of fractional differential equations by using differential transform method [J].

Arikoglu, Aytac ;

Ozkol, Ibrahim .

CHAOS SOLITONS & FRACTALS, 2007, 34 (05) :1473-1481

[8] Series solutions of non-linear Riccati differential equations with fractional order [J].

Cang, Jie ;

Tan, Yue ;

Xu, Hang ;

Liao, Shi-Jun .

CHAOS SOLITONS & FRACTALS, 2009, 40 (01) :1-9

[9] A predictor-corrector approach for the numerical solution of fractional differential equations [J].

Diethelm, K ;

Ford, NJ ;

Freed, AD .

NONLINEAR DYNAMICS, 2002, 29 (1-4) :3-22

[10] Solving a system of nonlinear fractional differential equations using Adomian decomposition [J].

Jafari, Hossein ;

Daftardar-Gejji, Varsha .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 196 (02) :644-651

← 1 2 →