Constrained approximate boundary controllability

Author

Klamka, Jerzy

Author_Institution

Inst. of Autom., Silesian Tech. Univ., Gliwice, Poland

Volume

42

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

280

Lastpage

284

Abstract

In this paper, constrained approximate boundary controllability for linear disturbed parameter dynamical systems described by partial differential equations of parabolic-type with mixed boundary conditions is considered. Using methods of spectral analysis for linear self-adjoint operators and general constrained controllability results, given by Son (1990), necessary and sufficient conditions for constrained approximate boundary controllability are formulated and proved. Moreover, in illustrative examples the constrained approximate boundary controllability of 1D distributed parameter dynamical systems is investigated. The constrained controllability conditions obtained represent an extension of the unconstrained controllability results given by Glothin (1974)

Keywords

controllability; distributed parameter systems; linear systems; partial differential equations; spectral analysis; boundary conditions; boundary controllability; constrained controllability; disturbed parameter systems; dynamical systems; linear self-adjoint operators; linear systems; necessary conditions; parabolic-type; partial differential equations; spectral analysis; sufficient conditions; Control systems; Controllability; Hydraulic actuators; Linear feedback control systems; Noise measurement; Optimal control; Output feedback; Partial differential equations; Stability; Steady-state;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.554411

Filename

554411