We consider robust stabilization of linear MIMO systems, whose physical parameters are
allowed to deviate from the nominal ones within known bounds, and the control plant is subjected to
unknown power-bounded polyharmonic external disturbances (with unknown amplitudes and frequencies).
The problem is to design a robustly stabilizing controller such that the prespecified errors for the controlled
variables in steady state are guaranteed. The solution is based on the “loop-breaking technique” of the
plant-controller system with respect to the physical parameters, e.g. Chestnov (1999); it reduces to the
standard H_infty-optimization procedure by properly choosing the weighting matrix at the controlled variables.
This approach is implemented numerically in the MATLAB-based Robust Control Toolbox (RCT).