Robust Eigenstructure Assignment with Structured State Space Uncertainty and Unmodelled Dynamics

New time domain stability robustness results have been obtained for a non-strictly proper linear time invariant plant which is subject to simultaneous time-varying structured state space uncertainty and norm bounded unmodelled dynamics. Sufficient conditions for robust stability are obtained both for a constant gain output feedback controller and an output feedback dynamic compensator. The robustness conditions are explicitly in terms of the closed loop eigenvalues and eigenvectors so that these new results are especially well suited for a robust eigenstructure assignment design method. An example is presented of a robust eigenstructure assignment autopilot for the yaw/roll dynamics of a bank-to-turn missile.