An off-line reference management technique for a class of nonlinear systems

This paper is concerned with a reference governor design problem for nonlinear closed-loop systems with pointwise-in-time state and control constraints. Our description of nonlinear system is polynomial dynamics, and a primal tool to obtain a solution is maximal output admissible sets for constrained nonlinear dynamics which are utilized to predict plant safe operations. We show that infinite number of constraints and variables involved in a problem formulation can be reduced into a finite number with no conservatism in constraint enforcements. Specific design procedures are proposed in terms of polynomial optimizations, and numerical design examples show how the proposed reference governor works.