Abstract
In this paper, the stabilization of a class of time delayed remote control systems is first analysed and then designed, using linear matrix inequality techniques. Its robust design with respect to system parametric uncertainties and its robust analysis with respect to nonlinear additive uncertainties as well as time delay uncertainties are discussed. The system under investigation is a cascade system with two subsystems controlled by a remote controller with static gains. The motivation of this work is to explore the problem of distributed networked control systems beginning with the discussion of a simple cascade system. Static controller designs based on delay-dependent stability conditions are presented and are proven to be less conservative than conventional designs. This design is then extended where parametric uncertainties exist. Furthermore, sufficient stability conditions are derived for the system with norm-bounded nonlinear additive uncertainties and time delay variations. Finally, simulation examples are presented to show the effectiveness of the proposed method.
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