Analysis and synthesis of discrete control systems under conditions of nonstochastic uncertainty (Q1968532)

Linear discrete-time control systems described by discrete state equations are considered. The systems are disturbed by unknown input vectors which are assumed to be members of a convex compact set. It is assumed that a linear stabilizing state controller exists for the undisturbed system. It is shown that for nilpotent closed loop system-matrices an invariant set with minimum radius can be obtained. The results are extended for systems with uncertain parameters. A solution to the controller design problem is proposed.