Design of decoupling Smith control for multivariable system with time delays |
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Authors: | HUANG Can GUI Wei-hua YANG Chun-hua XIE Yong-fang |
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Affiliation: | (1) Facolt? di Ingegneria, Dipartimento di Ingegneria dell’Informazione, Universit? di Brescia, Via Branze 38, Brescia, 25123, Italy;(2) Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK |
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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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Keywords: | multivariable process time delay Smith predictor decoupling robust stability |
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