Approximation in Control of Thermoelastic Systems

@article{Gibson1989ApproximationIC,
  title={Approximation in Control of Thermoelastic Systems},
  author={J. S. Gibson and I. Gary Rosen and Gang Tao},
  journal={1989 American Control Conference},
  year={1989},
  pages={1171-1176}
}
This paper treats linear-quadratic optimal control of a thermoelastic rod. The main objective of the paper is to approximate the solution to the infinite dimensional optimal control problem by solving a sequence of finite dimensional optimal control problems for a sequence of approximations to the coupled partial differential equations that represent the axial vibrations and temperature distribution in the rod. Numerical results for two approximation schemes are presented.