Variable Structure Control Based Wavelet Transforms for Linear Time-Invariant Distributed Parameter Systems

Gui Ge Gao; Xian Wen Zeng

doi:10.4028/www.scientific.net/AMR.482-484.1809

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 482-484Variable Structure Control Based Wavelet...

Variable Structure Control Based Wavelet Transforms for Linear Time-Invariant Distributed Parameter Systems

Abstract:

The distributed parameter systems(DPS) are usually described by the partial differential equations(PDEs). Compared the variable structure control problem of DPS with that of the lumped parameter systems(LPS) , it is more complicated because the problem of variable structure control for DPS is often closely related to the theory of the differential operator or integral operator. Based on Haar wavelets transform, the operational matrixes and their characteristics, this paper attempts to propose a new approach for the variable structure control problem of a class linear time-invariant DPS by converting it into that of lumped parameter systems(LPS) and then makes use of the mature research methods of LPS to design the variable structure control problem so as to solve the variable structure control problem of DPS. The proposed method in this paper has the advantages of the simpler algorithm, less computation and better control effect. The simulation results also prove that it is an efficient algorithm for DPS.

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Periodical:

Advanced Materials Research (Volumes 482-484)

Pages:

1809-1815

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.482-484.1809

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Online since:

February 2012

Authors:

Gui Ge Gao, Xian Wen Zeng

Keywords:

Distributed Parameter Systems (DPS), Variable Structure Control (VSC), Wavelet Transform (WT)

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