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Non-fragile observer-based passive control for uncertain time delay systems subjected to input nonlinearity. (English) Zbl 1204.34101
A class of uncertain time delay systems subject to an input nonlinearity is considered. For this class of systems, the problem of non-fragile observer-based passive control is investigated by using sliding mode control. First, the authors design an observer for estimating the phase state systems. Then, a sliding surfaces is designed on the state-estimation space. After that, a sufficient condition for asymptotic stability and passivity of the system combined with an error system and sliding mode dynamics is obtained. Furthermore, a novel control law is proposed such that the sliding surface is reached in a finite time in the state-estimation space. Finally, a simulation example is presented to show the validity and advantages of the proposed method.
MSC:
34K35Functional-differential equations connected with control problems
93C23Systems governed by functional-differential equations
93B07Observability