基于负定不变集的吸引域估计和动态输出反馈镇定OA

A design method for a dynamic output feedback controller is proposed for general nonlinear discrete-time sys-tems.Firstly,sufficient conditions for the dynamic output feedback stabilization with an estimated domain of attrac-tion(DOA)are provided.For a given Lyapunov function of system and controller states,a negative definite invari-ant set under output feedback control is introduced,which can be considered as an unstructured collection of dy-namic output feedback controllers.The negative definite invariant set,projected onto the state space,serves as an estimate of the closed-loop DOA.The design problem for the controller is then transformed into a set approximation problem in Euclidean space based on the negative definite invariant set.The bottleneck of dealing with strong non-linearity is alleviated through the use of numerical set approximation methods.Secondly,a method for estimating the negative definite invariant set is proposed based on interval analysis,aiming to find an internal approximation of the desired accuracy for the set.