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首页> 外文期刊>International Journal of Applied Mathematics and Computer Science >EFFECTIVE DUAL-MODE FUZZY DMC ALGORITHMS WITH ON-LINE QUADRATIC OPTIMIZATION AND GUARANTEED STABILITY
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EFFECTIVE DUAL-MODE FUZZY DMC ALGORITHMS WITH ON-LINE QUADRATIC OPTIMIZATION AND GUARANTEED STABILITY

机译：具有在线二次优化和保证稳定性的有效双模模糊DMC算法

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摘要

Dual-mode fuzzy dynamic matrix control (fuzzy DMC-FDMC) algorithms with guaranteed nominal stability for constrained nonlinear plants are presented. The algorithms join the advantages of fuzzy Takagi-Sugeno modeling and the predictive dual-mode approach in a computationally efficient version. Thus, they can bring an improvement in control quality compared with predictive controllers based on linear models and, at the same time, control performance similar to that obtained using more demanding algorithms with nonlinear optimization. Numerical effectiveness is obtained by using a successive linearization approach resulting in a quadratic programming problem solved on-line at each sampling instant. It is a computationally robust and fast optimization problem, which is important for on-line applications. Stability is achieved by appropriate introduction of dual-mode type stabilization mechanisms, which are simple and easy to implement. The effectiveness of the proposed approach is tested on a control system of a nonlinear plant-a distillation column with basic feedback controllers.
机译：提出了约束非线性植物具有保证标称稳定性的双模模糊动态矩阵控制（模糊DMC-FDMC）算法。该算法在计算效率高的版本中结合了模糊Takagi-Sugeno建模和预测双模方法的优点。因此，与基于线性模型的预测控制器相比，它们可以提高控制质量，同时，其控制性能与使用具有更高要求的非线性优化算法的控制性能相似。通过使用连续的线性化方法获得数值有效性，从而导致在每个采样时刻在线求解二次编程问题。这是一个计算健壮且快速的优化问题，对于在线应用程序很重要。通过适当引入简单且易于实现的双模式类型稳定机制来实现稳定性。该方法的有效性在非线性设备的控制系统上进行了测试，该系统是带有基本反馈控制器的蒸馏塔。

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