Parity Space Method for Mode Detection of a Nonlinear Switching System Using Takagi–Sugeno Modeling

Abstract

This paper deals with the problem of the recognition of the active mode for nonlinear switching system and the determination of the switching instants. An extension of the parity space method is used for nonlinear modes that are represented by Takagi–Sugeno (TS) models which allows to model a widespread class of real systems. A set of residuals are generated to indicate the path online. The determination of the switching instants is from these residuals that are composed of different modes of the system which reduces the detection time. Tests of discernibility are calculated online to verify the uniqueness of the active path. The effectiveness of the proposed recognition approach has been demonstrated through simulations of examples. The considered cases are a combination of the system in a deterministic context with (or without) measurement noise or with (or without) uncertain parameters.