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In this paper, we present a new observer-based controller design method for a class of time-varying delay nonlinear systems. The key idea lies in the use of the Young's relation in a judicious manner which leads to a less conservative LMI synthesis condition. On the other hand, the Lipschitz nonlinearity of the system is treated by using a new reformulation of the Lipschitz property. This latter,...
The aim of this work is to generalize some existing results dealing with the unbiased H∞ filtering for dynamical systems. In particular, we consider reduced-order filtering for a large class of uncertain linear neutral systems subject to unknown inputs and external disturbances. Our purpose consists in ensuring both: the total decoupling with respect to the unknown inputs and minimization of the...
In this paper, we investigate a new method for the observer design problem for a class of nonlinear time-delay systems. The main contribution lies in the use of a new structure for the proposed observer. This new structure has as objective to obtain an approach applicable on a large class of nonlinear time-delay systems and to reduce the conservatism of the synthesis condition ensuring the exponential...
In this paper, the problem of robust tracking and model following for a class of uncertain time delay systems subjected to parametric uncertainties is addressed. Necessary and sufficient conditions are established to guarantee the existence of simple and easily implementable linear robust Hinfinmemory and memoryless tracking controllers. To achieve the design purpose, two different constructive methods...
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