Synchronous switching observer for nonlinear switched systems with minimum dwell time constraint

Abstract This paper deals with the issue of state observability for a class of nonlinear switched systems under minimum dwell time (MDT) switching. First, multiple full-order switched observers are designed to estimate the states of nonlinear switched system under MDT switching, and the observer gains are derived from the feasible solutions of linear matrix inequality. Meanwhile, the condition where the minimum dwell time should satisfy is provided such that the observer error dynamic is exponentially asymptotically stable. Second, under the assumption, the output matrices of nonlinear switched system are with some special forms which can also be dealt by orthogonal procedure if they are not satisfied, multiple reduced-order switched observers are proposed by coordinate transformation approach such that the state estimation purpose is reached for original nonlinear switched systems. Third, the MDT condition that the switching signal should meet with is given such that both full-order and reduced-order switched observers can be simultaneously designed. Finally, the effectiveness of the proposed approaches is illustrated by a numerical example and longitudinal switched dynamics of an F-18 aircraft.

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