引用本文: 赵志诚,徐娜,张井岗.多变量时滞非方系统的分数阶Smith预估控制[J].控制与决策,2019,34(6):1331-1337
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DOI：10.13195/j.kzyjc.2017.1637

Fractional order Smith predictor control for non-square systems with time-delay
ZHAO Zhi-cheng,XU Na,ZHANG Jing-gang
(School of Electronic Information Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)
Abstract:
A fractional order Smith predictive control approach based on the inverted decoupling is proposed for non-square systems with time-delay. Firstly, inverted decoupling is extended into $m\times n$ non-square systems. The design method of the inverted decoupling matrix is proposed. At the same time, to ensure the decoupling matrix stable and regular, the realizability conditions and the compensation method of the controlled object are provided. Then, we design a fractional order Smith predictive controller for decoupled signal-loop systems. The design method of the fractional order controller is simplitied using the equivalence relation between the IMC(internal model control) and the Smith predictive control. Furthermore, we propose a tuning methodology for controller parameters based on the maximum sensitivity. Finally, the typical Shell standard control problem is studied to verify the effectiveness of the proposed method. The simulation results show that the proposed method is not only simple in design and easy to implement, but also convenient in parameter tuning, and has a better tracking performance, disturbance rejection property and robustness.
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