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Design of decoupling Smith control for multivariable system with time delays

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Abstract

In order to solve the decoupling control problem of multivariable system with time delays, a new decoupling Smith control method for multivariable system with time delays was proposed. Firstly, the decoupler based on the adjoint matrix of the multivariable system model with time delays was introduced, and the decoupled models were reduced to first-order plus time delay models by analyzing the amplitude-frequency and phase-frequency characteristics. Secondly, according to the closed-loop characteristic equation of Smith predictor structure, proportion integration (PI) controllers were designed following the principle of pole assignment for Butterworth filter. Finally, using small-gain theorem and Nyquist stability criterion, sufficient and necessary conditions for robust stability were analyzed with multiplicative uncertainties, which could be encountered frequently in practice. The result shows that the method proposed has superiority for response speed and load disturbance rejection performance.

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410083, China

    Can Huang  (黄灿), Wei-hua Gui  (桂卫华), Chun-hua Yang  (阳春华) & Yong-fang Xie  (谢永芳)

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  1. Can Huang  (黄灿)
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  2. Wei-hua Gui  (桂卫华)
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  3. Chun-hua Yang  (阳春华)
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  4. Yong-fang Xie  (谢永芳)
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Correspondence to Can Huang  (黄灿).

Additional information

Foundation item: Projects(60634020, 61074117) supported by the National Natural Science Foundation of China

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Huang, C., Gui, Wh., Yang, Ch. et al. Design of decoupling Smith control for multivariable system with time delays. J. Cent. South Univ. Technol. 18, 473–478 (2011). https://doi.org/10.1007/s11771-011-0720-8

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  • DOI: https://doi.org/10.1007/s11771-011-0720-8

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