Direct Adaptive Control for Persistent Disturbance Rejection in Linear Infinite Dimensional Systems Conference Paper

abstract

• Given a linear continuous-time infinite-dimensional plant on a Hilbert space and persistent disturbances of known waveform but unknown amplitude and phase, we show that there exists a stabilizing direct model reference adaptive control law with disturbance rejection and robustness properties. The plant is described by a closed, densely defined linear operator that generates a continuous semigroup of bounded operators on the Hilbert space of states. There is no state or disturbance estimation used in this adaptive approach. Our results are illustrated by adaptive control of general linear diffusion systems.

name of conference

• 2016 American Control Conference (ACC)

authors

• Balas, Mark

published proceedings

• 2016 American Control Conference (ACC)

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

• July 2016

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• n2378-5861ISSN  Journal

keywords

• Adaptation Models
• Adaptive Control
• Bounded Operators
• Continuous Semigroup
• Direct Adaptive Control
• Direct Model Reference Adaptive Control Law
• General Linear Diffusion Systems
• Hilbert Space
• Hilbert Spaces
• Linear Continuous-time Infinite-dimensional Plant
• Linear Operator
• Linear Systems
• Model Reference Adaptive Control Systems
• Multidimensional Systems
• Persistent Disturbance Rejection
• Robustness Properties
• Stability Analysis
• Thermal Stability
• Trajectory

Digital Object Identifier (DOI)

• 10.1109/acc.2016.7525299

start page

• 2542

end page

• 2547

URL

• http://dx.doi.org/10.1109/acc.2016.7525299