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一种用于积分过程的新型预测控制算法和鲁棒稳定性判据。

A novel predictive control algorithm and robust stability criteria for integrating processes.

机构信息

Information Certain, Shanghai Research Institute of Petrochemical Technology (SINOPEC), Shanghai 201208, China.

出版信息

ISA Trans. 2011 Jul;50(3):454-60. doi: 10.1016/j.isatra.2011.01.012. Epub 2011 Feb 25.

DOI:10.1016/j.isatra.2011.01.012
PMID:21353217
Abstract

This paper introduces a novel predictive controller for single-input/single-output (SISO) integrating systems, which can be directly applied without pre-stabilizing the process. The control algorithm is designed on the basis of the tested step response model. To produce a bounded system response along the finite predictive horizon, the effect of the integrating mode must be zeroed while unmeasured disturbances exist. Here, a novel predictive feedback error compensation method is proposed to eliminate the permanent offset between the setpoint and the process output while the integrating system is affected by load disturbance. Also, a rotator factor is introduced in the performance index, which is contributed to the improvement robustness of the closed-loop system. Then on the basis of Jury's dominant coefficient criterion, a robust stability condition of the resulted closed loop system is given. There are only two parameters which need to be tuned for the controller, and each has a clear physical meaning, which is convenient for implementation of the control algorithm. Lastly, simulations are given to illustrate that the proposed algorithm can provide excellent closed loop performance compared with some reported methods.

摘要

本文介绍了一种用于单输入/单输出(SISO)积分系统的新型预测控制器,无需对过程进行预稳定即可直接应用。控制算法是基于测试的阶跃响应模型设计的。为了在有限的预测范围内产生有界的系统响应,当存在未测量的干扰时,必须将积分模式的影响置零。这里提出了一种新的预测反馈误差补偿方法,用于消除设定值和过程输出之间的永久偏移,同时积分系统受到负载干扰的影响。此外,在性能指标中引入了旋转因子,有助于提高闭环系统的鲁棒性。然后,基于 Jure 的主导系数准则,给出了所得到的闭环系统的鲁棒稳定性条件。控制器只需要调整两个参数,每个参数都有明确的物理意义,便于控制算法的实现。最后,通过仿真说明了与一些已报道的方法相比,所提出的算法可以提供优异的闭环性能。

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