Feedback passivation of nonlinear switched systems using linear approximations

We present an approach to passivate a class of discrete time switched nonlinear systems under arbitrary switching. Using switched storage functions, we derive a linear matrix inequality condition for strict input passivity of discrete time switched nonlinear systems. When the switched system is non passive, we design a state feedback controller to ensure system passivity under any admissible switching signal. We then apply this technique to increase the loading capacity of a power system with renewable generation.

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