Numerical methods for robust control design for distributed parameter systems

The authors discuss a numerical method for constructing feedback control laws which are robust with respect to disturbances or structured uncertainties. They show that known convergence results for the standard linear quadratic regulator problem may be implemented and used as the basis for a numerical method for constructing control laws. For the case of structured uncertainties, they show that results of J.L. Speyer and I. Rhee (1990) for the finite-dimensional case can be extended to infinite dimensions. Their approach is to take advantage of the factorization of the structured uncertainty so that the uncertainty is treated as a disturbance. A differential game framework is then applied. Numerical examples are presented