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To handle the state estimation of a nonlinear system perturbed by a scalar disturbance distributed by a known nonlinear vector, we incorporate a sliding mode term into a nonlinear observer to realise a robust nonlinear observer. By linking the observability of the unknown input to the output measurement, the so-called matching condition is avoided. The measurable output estimation error is the sliding...
In this paper, sliding mode observers for uncertain MIMO linear systems are developed in both the continuous and discrete-time domains. The uncertainties are characterized as unknown inputs to the system. We propose a sliding mode observer with multiple sliding modes to completely eliminate the disturbances in the sliding mode. It is shown that in the sliding mode, the system is completely stable...
This paper designs discrete-time sliding mode (DSM) observer design for a class of nonlinear uncertain systems. The Taylor series expansion and nonlinear transformation are used to convert the nonlinear continuous time system into the discrete-time model. Multiple sliding modes were introduced to compensate for multiple disturbance terms in the subsystems by appending them to a constant gain observer...
In this paper, we design a discrete-time sliding mode (DSM) nonlinear observer for a class of nonlinear uncertain systems. Taylor series expansion together with a nonlinear state transformation is used to discretize the system. A strategy to avoid switching across the sliding manifold is employed, and the sliding trajectory is confined to a boundary layer once it converges to the sliding manifold...
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