Control correction synthesis: A set-theoretic approach

This paper analyzes the control correction synthesis problem, introduced and discussed in a general non-linear compact setting, for constrained discrete-time control systems. In addition, motivated by computational considerations and a practical application, this paper examines, in more detail, the problem formulated in linear convex compact and linear piece-wise convex compact settings. The solution of the corresponding control correction synthesis problem is obtained by utilizing set theoretic methods, in particular, by employing set invariance concepts. The control correction strategy is illustrated by an example which represents a simplified version of a practical case study.