Abstract

In this paper, the state estimation problem for a class of discrete-time switched nonlinear singular systems simultaneously subject to Lipschitz constraints, state delays, unknown inputs (UIs), and arbitrary switching sequences is considered. A mode-dependent observer is constructed and, based on the idea of exact state and UI decoupling, sufficient conditions for the existence of the proposed observer are given in terms of linear matrix inequalities. By defining a decay-rate-dependent switched Lyapunov function, the convergence rate of the state estimation error is proved to be exponential.

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