Nonlinear Robust Regulation Using the Satisficing Paradigm

In this paper we use the recently introduced concept of satisficing decision theory to develop robustly stabilizing state-feedback control strategies for nonlinear systems subject to unknown disturbances. The result is a point-wise "input-to-state satisficing" set of control options from which a continuous feedback strategy can be selected. We show that every input-tostate satisficing control also defines a universal formula in the sense defined by Sontag