Control With Constraints of a Class of Hybrid Systems Based on Adaptive Method of Linear Programming

Abstract

This paper presents an extended version of adaptive method of linear programming to be used for constructing optimal open loop controls of hybrid dynamic systems. We particularly consider a class of hybrid systems described by a finite set of linear subsystems and a com- mutation law. The active subsystem and the commutations between the subsystems can be defined by the autonomous transitions (autonomous model switchings). In general, such problems are solved in two steps to find both optimal continuous inputs and optimal switching times.The results are illustrated by an example.