Robust control correction synthesis: A set theoretic approach

This paper analyzes the robust control correction synthesis problem for constrained discrete-time control systems. The robust control correction synthesis problem is first introduced and discussed in a general non-linear compact setting under two interpretations on the uncertainty leading to inf-sup and sup-inf control correction syntheses. The solution of the corresponding robust control correction synthesis problem is obtained by utilizing set theoretic methods. In addition, motivated by numerical considerations, this paper also discusses the problem formulated in the linear convex compact setting and comments on plausible computational procedures.