Observer synthesis for some classes of switched dynamical systems

Switched systems constitute a subclass of hybrid systems, which are systems where both continuous and discrete event dynamics are tangled together. In this work, we consider two classes of observable switched systems. For each class, an observer is designed. First, some results available for linear switched systems are extended to the nonlinear case, assuming that each system is linearizable by output injection. Then, for the class of switched systems which can be put in triangular form by a diffeomorphism, an observer is designed. The proposed observers are tested on an illustrative example.

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