Direct Adaptive Control of Discrete-Time Infinite-Dimensional Systems in a Hilbert Space Conference Paper uri icon


  • Given a linear discrete-time infinite-dimensional plant on a Hilbert space and disturbances of known waveform but unknown amplitude and phase, we show that there exists a stabilizing direct model reference adaptive control law with certain disturbance rejection and robustness properties. The central result is a discrete-time version of Barbalat-Lyapunov result for infinite dimensional Hilbert spaces. This is used to determine conditions under which a linear Infinite-dimensional system can be directly adaptively regulated. Our results are applied to adaptive control of general linear diffusion systems.

name of conference

  • Volume 4B: Dynamics, Vibration and Control

published proceedings

  • Volume 4B: Dynamics, Vibration and Control

author list (cited authors)

  • Balas, M. J., & Frost, S. A.

citation count

  • 0

complete list of authors

  • Balas, Mark J||Frost, Susan A

publication date

  • November 2013