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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.
Aiming at a typical dynamic unbalanced cobweb model, a dynamic tracking and robust control design scheme is proposed by using dynamic feedback control theory and linear matrix inequality (LMI) optimization algorithm. By designing the state feedback control input and the corresponding Lyapunov function (Including the stability of the cobweb model, the dynamic tracking performance of the supply and demand difference and the robust performance of the system) can be satisfied at the same time.The simulation results show the feasibility of the algorithm and the application of economic laws Sex.