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The problem of sampled-data observer design is addressed for the so-called nonlinear systems with one-sided Lipschitz nonlinearity in presence of disturbance inputs. We first develop a single-rate observer using a refined Euler model formulated via tractable linear matrix inequalities (LMIs). This scheme is shown to be input-to-state stable from exogenous disturbances to the estimation error in a...
In this paper, a new H∞ filter design approach is proposed for discrete-time linear systems with unknown inputs. The proposed Lyapunov-based approach, free of any similarity transformations, designs a linear filter for the modified model of the plant, and then extracts the original states of the system. The designed filter estimates both the system states and the unknown input simultaneously and does...
Control and state estimation of nonlinear systems satisfying a Lipschitz continuity condition have been important topics in nonlinear system theory for over three decades, resulting in a substantial amount of literature. The main criticism behind this approach, however, has been the restrictive nature of the Lipschitz continuity condition and the conservativeness of the related results. This work...
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