On Approximation of Maximal Admissible Sets for Nonlinear Continuous-Time Systems with Constraints

The concept of the maximal admissible set (MAS) is very important in several issues in control theory, such as constrained control and so on. For linear uncertain discrete time systems, a method to compute the MAS was proposed. For linear time invariant systems without uncertainty, a theoretical result on inner and outer approximations of the MAS was derived. On the other hand, for uncertain and/or nonlinear continuous time systems, only a few restrictive results were reported. This paper treats uncertain and/or nonlinear continuous time systems with constraints and derive some theoretical results about inner and outer approximations of the MAS for such a kind of systems.