Digital and analog integer delayed modeling and control for multivariable systems with multiple time delays in states, inputs and outputs

L. B. Xie, L. S. Shieh, J. S.H. Tsai, C. Y. Wu, J. J. Park

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

This paper presents a new approximated integer delayed modeling and control technique for Continuous-time Fractional Delay Differential Equations (CFDDEs). Using the impulse response sequences of the CFDDE and the balanced model-reduction method, a delay-free discrete-time state-space model is constructed. Then, an equivalent Discrete-time Integer Delay Difference Equation (DIDDE) is obtained by transforming the obtained discrete-time state-space model into a controller-type block companion form. Furthermore, based on the obtained DIDDE, an equivalent Continuous-time Integer Delay Differential Equation (CIDDE) is determined by means of the newly developed Chebyshev's bilinear approximation method. For digital control of the CFDDE, an optimal Discrete-time Integer Delayed Control Law (DIDCL) is designed using the conventional discrete-time LQR approach together with the obtained delay-free discrete-time state-space model. On the other hand, for continuous-time control of the CFDDE, a Continuous-time Integer Delayed Control Law (CIDCL) is determined from the designed DIDCL by means of the inverse Chebyshev's bilinear approximation method. Finally, digital and analog integer delayed observers are constructed for the implementations of the developed DIDCL and CIDCL, respectively. An illustrative example is given to demonstrate the effectiveness of the proposed method.

原文English
頁(從 - 到)1615-1633
頁數19
期刊Applied Mathematical Modelling
40
發行號2
DOIs
出版狀態Published - 2016 一月 15

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 應用數學

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