Controllability of higher-order linear systems with multiple delays in control

Author

Klamka, Jerzy

Author_Institution

Inst. of Control Eng., Silesian Univ. of Technol., Gliwice, Poland

fYear

2009

fDate

9-11 Dec. 2009

Firstpage

1158

Lastpage

1162

Abstract

In the present paper finite-dimensional dynamical control systems described by linear higherorder ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.

Keywords

controllability; differential equations; linear systems; multidimensional systems; time-varying systems; algebraic methods; finite dimensional dynamical control systems; linear dynamical system; linear higher- order ordinary differential state equations; multiple point delays; relative controllability; Automatic control; Automation; Control systems; Controllability; Delay effects; Delay lines; Delay systems; Differential algebraic equations; Linear systems; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2009. ICCA 2009. IEEE International Conference on

Conference_Location

Christchurch

Print_ISBN

978-1-4244-4706-0

Electronic_ISBN

978-1-4244-4707-7

Type

conf

DOI

10.1109/ICCA.2009.5410196

Filename

5410196