Adaptive sinusoidal disturbance cancellation for unknown LTI systems despite input delay

Author

Basturk, Halil I. ; Krstic, Miroslav

Author_Institution

Dept. of Mech. Eng., Bogazici Univ., Istanbul, Turkey

fYear

2015

fDate

1-3 July 2015

Firstpage

5300

Lastpage

5305

Abstract

In this paper, the problems of canceling sinusoidal disturbances and compensating input delays in LTI systems are considered simultaneously. The disturbance is parameterized and the delay is represented as a transport PDE. An adaptive controller is designed by using the backstepping boundary control technique for PDEs. It is proven that the equilibrium of the closed loop system is stable and the state of the considered system converges to zero as t → ∞ with perfect disturbance estimation.

Keywords

adaptive control; closed loop systems; compensation; control nonlinearities; control system synthesis; delays; linear systems; partial differential equations; stability; adaptive controller design; adaptive sinusoidal disturbance cancellation; backstepping boundary control technique; closed loop system equilibrium stability; input delay compensation; perfect disturbance estimation; transport PDE; unknown LTI systems; Adaptive systems; Backstepping; Closed loop systems; Delays; Linear systems; Nonlinear systems; Observers;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2015

Conference_Location

Chicago, IL

Print_ISBN

978-1-4799-8685-9

Type

conf

DOI

10.1109/ACC.2015.7172167

Filename

7172167