Title :
Constrained approximate boundary controllability
Author_Institution :
Inst. of Autom., Silesian Tech. Univ., Gliwice, Poland
fDate :
2/1/1997 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
