Eigenvalue control in distributed-parameter systems with parameter variations

The state-feedback eigenvalue control problem is studied for a class of distributed-parameter systems subject to parameter variations about given nominal values. The feedback controller derived contains two parts, namely, the nominal controller which is based upon the nominal open-loop system parameter values, and the correcting controller which is designed such as to compensate for the parameter variations. Actually, the resulting eigenvalue controller may be regarded as a controller which reduces the sensitivity of the closed-loop eigenvalues to variations of the open-loop parameters. Two examples are worked out to support the theoretical results.