Control of nonlinear functional differential equations

Control of nonlinear functional differential equations

In this paper, we extend a recently developed approximation method to nonlinear systems given by functional differential equations. The nonlinear system is approached by a sequence of linear time-varying systems, which allows many linear control techniques to be applied. Here we design a sliding mod...

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Veröffentlicht in:Nonlinear analysis 2009-12, Vol.71 (12), p.e1850-e1857
Hauptverfasser: Du, Chunyan, Xu, Xu, Banks, S.P., Wu, Aiguo
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Differential equations
Dynamical systems
Functional differential equations
Hydraulic presses
Hydraulic system
Linear approximations
Linear control
Mathematical analysis
Nonlinear dynamics
Nonlinear system
Nonlinearity
Sliding mode control
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Beschreibung
Zusammenfassung:In this paper, we extend a recently developed approximation method to nonlinear systems given by functional differential equations. The nonlinear system is approached by a sequence of linear time-varying systems, which allows many linear control techniques to be applied. Here we design a sliding mode controller for a hydraulic press system to demonstrate the effectiveness of this method.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.02.094