Faculty of Electrical and Computer Engineering, Babol University of Technology, Babol 47135-484, Iran.
ISA Trans. 2014 Mar;53(2):517-23. doi: 10.1016/j.isatra.2013.11.006. Epub 2013 Dec 7.
In this paper an evolutionary algorithm is employed to address the controller design problem based on μ analysis. Conventional solutions to μ synthesis problem such as D-K iteration method often lead to high order, impractical controllers. In the proposed approach, a constrained optimization problem based on μ analysis is defined and then an evolutionary approach is employed to solve the optimization problem. The goal is to achieve a more practical controller with lower order. A benchmark system named two-tank system is considered to evaluate performance of the proposed approach. Simulation results show that the proposed controller performs more effective than high order H(∞) controller and has close responses to the high order D-K iteration controller as the common solution to μ synthesis problem.
本文采用进化算法解决基于μ分析的控制器设计问题。μ综合问题的传统解决方案，如 D-K 迭代法，往往导致高阶、不切实际的控制器。在提出的方法中，定义了一个基于μ分析的约束优化问题，然后采用进化算法来解决优化问题。目标是设计一个具有更低阶且更实用的控制器。以名为双罐系统的基准系统来评估所提方法的性能。仿真结果表明，与高阶 H(∞)控制器相比，所提出的控制器更有效，并且与μ综合问题的常见解决方案即高阶 D-K 迭代控制器的响应接近。
