Stability analysis and output feedback control for a class of switched nonlinear systems
by Hamid Reza Shaker
International Journal of Modelling, Identification and Control (IJMIC), Vol. 22, No. 4, 2014

Abstract: The problem of stability analysis and output feedback control for a class of switched nonlinear systems is addressed in this paper. The subsystems are from the class of so-called Φ-systems (σ-systems). The standard saturation and the hyperbolic tangent (popular activation function in neural networks) are examples of this type of nonlinearity. The discrete-time recurrent artificial neural network is a special case of Φ-systems. Furthermore, results related to this class of nonlinear systems have potential applications in the classical problems related to uncertain nonlinearities such as Lure systems. Two linear matrix inequality-based (LMI) sufficient conditions for asymptotic stability are proposed for these switched nonlinear systems. These conditions are analogous counterparts for switched linear systems which are shown to be easily verifiable and suitable for design problems. Two conditions for output feedback controller synthesis based on the proposed stability conditions are presented. The results are further illustrated by numerical examples.

Online publication date: Sat, 27-Dec-2014

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