一类非均衡经济系统鲁棒H_∞控制及其应用

Robust H_∞ Control of a Class of the Disequilibrium Economic Systems and Its Application

以非均衡理论为基础,讨论了一种非均衡蛛网模型,将该模型转化为状态空间形式,应用鲁棒H∞控制理论及线性矩阵不等式算法设计了鲁棒控制器,从而抑制了非均衡系统中的不确定性干扰,使系统稳定运行,商品供求达到理想状态.最后,以沈阳市房地产实际发展情况为背景,进行相关统计及仿真计算,验证了鲁棒H∞控制的效果.研究结果对经济控制系统的理论和应用研究具有一定意义.

Based on the disequilibrium theory, the disequilibrium cobweb model was studied, and the model was turned into the state-space equation. The robust controller was designed by using the robust H∞ control theory and the linear matrix inequality （LMI） technique. Based on the proposed method, some results could be obtained, such as, the impact of uncertainties on operation of the disequilibrium model could be restrained, stability of system evolution was guaranteed, and the operation of demand and supply of the goods came up to perfect state. Finally, taking the real estate development in Shenyang as the background, relevant statistics and simulation experiment were carried out and the H∞ control strategies were validated. The research results will have large significances on the theory and application of economic control system.