热连轧液压活套系统非线性多变量建模及控制
Modelling and control of hydraulic looper nonlinear multi-variable systems
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摘要: 为进一步提高带钢热连轧厚控精度及控制品质,在液压活套的工作点附近,考虑带钢自重、液压伺服系统和活套本身的非线性,建立了液压活套系统的非线性多变量动态数学模型,并验证了该模型的有效性.针对该模型,考虑未建模动态和各种扰动,提出了一种基于反推控制和扩张状态观测器(ESO)补偿的解耦控制方法.用Lyapunov稳定理论证明了闭环系统是鲁棒稳定的.仿真表明新的模型和解耦控制方法都是有效的.Abstract: In order to improve the control accuracy and quality of automatic gauges in hot trip rolling, a nonlinear muhiple-input multiple-output (MIMO) model of hydraulic loopers was built close to the working point in consideration of strip weight and the nonlinearity of hydraulic cylinders and loopers, and its validity was verified. A decoupling method based on back-stepping and extended state observers (ESO) was proposed for this new model taking all unmodelled dynamics and various disturbances into account. The robust stability of the closed-loop system was proved with the Lyapunov stability theory. Simulation results show that the proposed model and decoupling control method are available.