基于LMI优化算法的非均衡蛛网模型多目标控制

沈虹

系统科学与数学 ›› 2016, Vol. 36 ›› Issue (10) : 1548-1556.

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PDF(479 KB)
系统科学与数学 ›› 2016, Vol. 36 ›› Issue (10) : 1548-1556. DOI: 10.12341/jssms12909
论文

基于LMI优化算法的非均衡蛛网模型多目标控制

    沈虹
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MULTI-OBJECTIVE CONTROL FOR DISEQUILIBRIUM COBWEB MODEL BASED ON LMI OPTIMIZATION ALGORITHMS

    SHEN Hong
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摘要

针对一类典型的动态非均衡蛛网模型, 应用动态反馈控制理论, 结合线性矩阵不等式(LMI)优化算法, 提出一种动态跟踪及鲁棒控制设计方案. 通过设计状态反馈控制输入和相应的Lyapunov函数, 保证了多重控制目标(包括蛛网模型的稳定性能, 供求差的动态跟踪性能以及系统的鲁棒性能)同时能够得到满足. 仿真结果很好地显示出该算法的可行性和对经济规律的适用性.

Abstract

This paper proposes a novel design framework of dynamical tracking and robust control for a class of dynamic disequilibrium cobweb models. The design framework is based on the principle of dynamic feedback control and linear matrix inequality (LMI) optimization algorithm. By combining the state feedback control with the corresponding Lyapunov function, the satisfactory multi-objective control requirements including stability, dynamic tracking performance and robustness can be achieved simultaneously. Simulation results show that the proposed approach is effective and adaptable to economic law.

关键词

非均衡蛛网模型 / 线性矩阵不等式 / 跟踪控制 / 鲁棒控制 / 优化控制.

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沈虹. 基于LMI优化算法的非均衡蛛网模型多目标控制. 系统科学与数学, 2016, 36(10): 1548-1556. https://doi.org/10.12341/jssms12909
SHEN Hong. MULTI-OBJECTIVE CONTROL FOR DISEQUILIBRIUM COBWEB MODEL BASED ON LMI OPTIMIZATION ALGORITHMS. Journal of Systems Science and Mathematical Sciences, 2016, 36(10): 1548-1556 https://doi.org/10.12341/jssms12909
中图分类号: 93C95   
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