Robust Control Design with Guaranteed State Ultimate Bound

We present a new control design method which guarantees any prespecified componentwise ultimate bound on the state of multiple-input systems with matched perturbations. The method is based on eigenstructure assignment by state feedback and utilises a componentwise bound computation procedure recently proposed by the authors. This procedure exploits both the system and perturbation structures by performing componentwise analysis, thus avoiding the need for bounds on the norm of the perturbation. We present examples which illustrate the simplicity and generality of the method.