Application of wavelets transforms to distributed parameter systems' control

Gao, Gui; Zeng, Xian Wen; Gu, Xing Sheng

doi:10.1504/ijmic.2010.033853

Cited by 2 publications

(1 citation statement)

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“…WRM has been widely used in various industrial applications due to its high computational efficiency and flexibility in handling complex geometries and boundaries [8]. For control problems governed by various DPSs, the weighted residual method based on a wavelet basis is found to be effective, showing great potential [9]. The collocation method involves finding a functional basis for the solution space of the equation, then making the residual zero at n points within the domain [10].…”

Section: Introductionmentioning

confidence: 99%

Model Predictive Control for First-Order Hyperbolic System Based on Quasi-Shannon Wavelet Basis

Teo

Deng

et al. 2020

Processes

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In this paper, we consider a class of first-order hyperbolic distributed parameter systems. Our focus is on the design of a new class of model predictive control schemes using a quasi-Shannon wavelet basis. First, the first-order hyperbolic distributed parameter system is transformed into an equivalent system using collocation techniques for the approximation of spatial derivatives and Euler forward difference method for the approximation of the time component. Then, a model reduction method is applied to obtain a reduced-order system on which a nonlinear model predictive controller is designed through solving a nonlinear quadratic programming problem with input constraints. For illustration, the temperature control of a flow-control long-duct heating system is considered to be an example. A comparative simulation study is conducted to demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%