ROBUST-CONTROL OF SET-VALUED DISCRETE-TIME DYNAMICAL-SYSTEMS

This paper presents results obtained for the control of set-valued dis crete-time dynamical systems. Such systems model nonlinear systems sub ject to persistent bounded noise. A robust control problem for such sy stems is introduced, The problem is formulated as a dynamic game, wher ein the controller plays against the set-valued system. Both necessary and sufficient conditions in terms of (stationary) dynamic programmin g equalities are presented. The output feedback problem is solved usin g the concept of an information state, where a decoupling between esti mation and control is obtained. The methods yield a conceptual approac h for constructing controlled-invariant sets and stabilizing controlle rs for uncertain nonlinear systems.