Robust Adaptive Model Tracking Control for Linear Infinite Dimensional Symmetric Hyperbolic Systems Conference Paper

abstract

• Symmetric Hyperbolic Systems of partial differential equations describe many physical phenomena such as wave behavior, electromagnetic fields, and quantum fields. 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. Here we show that there exists a stabilizing direct model reference adaptive control law with certain disturbance rejection and robustness properties. The closed loop system is shown to be exponentially convergent to a neighborhood with radius proportional to bounds on the size of the disturbance. We apply the results to control of symmetric hyperbolic systems with coercive boundary conditions.

name of conference

• 53rd IEEE Conference on Decision and Control

authors

• Balas, Mark

published proceedings

• 53rd IEEE Conference on Decision and Control

author list (cited authors)

• Balas, M. J., & Fros, S. A.

citation count

• 0

complete list of authors

• Balas, Mark J||Fros, Susan A

publication date

• December 2014

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Conference on Decision and Control  Journal

keywords

• Adaptation Models
• Adaptive Control
• Closed Densely Defined Linear Operator
• Closed Loop System
• Closed Loop Systems
• Coercive Boundary Condition
• Direct Model Reference Adaptive Control Law
• Disturbance Rejection
• Hilbert Space
• Hilbert Spaces
• Linear Infinite Dimensional System
• Linear Systems
• Mathematical Model
• Model Reference Adaptive Control Systems
• Multidimensional Systems
• Partial Differential Equation
• Partial Differential Equations
• ROBUST CONTROL
• Robust Adaptive Model Tracking Control
• Robustness
• Robustness Property
• Symmetric Hyperbolic System
• Vectors

Digital Object Identifier (DOI)

• 10.1109/cdc.2014.7039830

start page

• 2870

end page

• 2876

URL

• http://dx.doi.org/10.1109/cdc.2014.7039830