随机双曲正切模型的控制与仿真

Control and Simulation of Stochastic Hyperbolic Tangent Model

研究了一种新颖时滞模型:随机双曲正切模型的鲁棒H∞控制问题,模型的状态空间是由双曲正切函数表示的。利用状态的双曲正切函数设计出一种静态反馈控制器,它可保证相应的闭环系统均方渐近稳定而且可达到给定的H∞性能指标。利用Lypunov-Krasovskii和自由权矩阵方法,导出了由线性矩阵不等式表示的保证存在期望的控制器的时滞依赖的稳定性准则。利用计算机Matlab软件给出了一个仿真例子用以说明给出的方法的有效性。

The issues of robust H. control of a novel model, stochastic hyperbolic tangent model based on the formulation of a state-space representation using the hyperbolic tangent function, with time delay were investigated. The attention was focused on the design of a static feedback controller of hyperbolic tangent Sector function of state which could guarantee the resulting closed-loop system asymptotically stable in the mean square sense and achieve pre-specified H∞ performance. By applying Lyapunov-Krasovskii and free-weighting matrix methods, delay-dependent criteria for the existence of the desired controller were given in terms of a linear matrix inequality （LMI）. Finally, computer Matlab software was applied on a simulation example to illustrate the effectiveness of the presented approach.