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

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.

author list (cited authors)

  • Balas, M. J., & Fros, S. A.

citation count

  • 0

publication date

  • December 2014

publisher