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In this paper, the observer-based control for a class of linear neutral systems is considered. The analysis is based on the use of Lyapunov-Krasovskii functional stability theory. Delay-dependent stabilization criteria are proposed to guarantee stability for the systems. The linear matrix inequalities (LMIs) approach is used to design the observer and the feedback control. A numerical example is given...
The dynamic surface control (DSC) method is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to time delay nonlinear systems with linear parametric uncertainties. Thus, the proposed control system can eliminate the problem of "explosion of complexity" inherent in the backstepping design method. Also,...
This paper considers the problem of designing linear sliding surfaces for mismatched uncertain systems with time delay. The linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the sliding surface is not only stable but invariant to mismatched uncertainties with time delay. An invariant condition for the existence of a linear switching surface is given...
In this paper, the adaptive dynamic surface control (DSC) method is presented for a class of uncertain nonlinear systems with unknown time delays in strict-feedback form. Using the DSC technique, the problem of "explosion of complexity" of the traditional backstepping algorithm can be eliminated and the uncertainties of the unknown time delays are overcome by using appropriate Lyapunov-Krasovskii...
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