P-type iterative learning control of fractional order nonlinear time-delay systems

Author

Lan, Yong-Hong ; He, Lv-Jun

Author_Institution

Key Lab. of Intell. Comput. & Inf. Process. of Minist. of Educ., Xiangtan Univ., Xiangtan, China

fYear

2012

fDate

23-25 May 2012

Firstpage

1027

Lastpage

1031

Abstract

This paper presents a P-type iterative learning control (ILC) scheme for a class of fractional-order nonlinear time-delay systems with fractional order α (0 ≤ α <; 1). By introducing the λ-norm and using a generalized Gronwall inequality, the sufficient conditions for the convergence of the control input and the tracking errors for open-loop and closed-loop P-type ILC are obtained, respectively. The validity of the methods are verified by a numerical example.

Keywords

adaptive control; closed loop systems; convergence; delays; iterative methods; learning systems; nonlinear control systems; open loop systems; λ-norm; P-type iterative learning control; closed loop P-type ILC; control input convergence; fractional order nonlinear time-delay systems; generalized Gronwall inequality; open loop P-type ILC; sufficient conditions; tracking errors; Convergence; Delay; Differential equations; Educational institutions; Nonlinear systems; Process control; Trajectory; Convergent; Fractional order; Generalized Gronwall inequality; Iterative learning control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244161

Filename

6244161