Abstract

This paper studies L 2 -disturbance attenuation simultaneous control problem for a class of nonlinear descriptor systems via a state undecomposed approach. First, two nonlinear descriptor systems are combined to generate an augmented nonlinear descriptor system by using a suitable output feedback. Based on which, an L 2 -disturbance attenuation simultaneous controller is designed for the two systems. Then, the case of more than two nonlinear descriptor systems with disturbance is investigated, and a new L 2 -disturbance attenuation simultaneous control result is proposed for the systems. Finally, an illustrative example is provided by using the results proposed in this paper.

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