一类不确定超混沌系统连续变增益调度H_∞控制

Continuous Gain Scheduled Adaptive H_∞ Controller for Uncertain Hyperchaotic System

针对一类超混沌系统,提出一种连续变增益控制器。主要思想是先将此超混沌系统分为线性和非线性两部分,运用梯度线性化方法得到非线性部分的一系列局部线性化模型,将超混沌系统控制问题转化为一组线性系统来处理。针对每一个线性系统,设计满足稳定性能要求的变增益状态反馈矩阵,最后,通过拟合得到连续变增益控制器。将该方法推广到同时含有参数不确定项和外部干扰的超混沌系统中,并引入H∞性能指标。仿真结果说明了此控制器设计方法的有效性。

Referring to the hyperchaotic system, a new approach to the design of a continuous gain scheduled controller was proposed, in which the hyperchaotic system was separated into two parts, that is the linear part and the nonlinear part. Based on gradient linear method, a series of linear models were obtained. Considering LM7 approach, the variable gain matrix was designed, and then the controller was obtained by fitting. The approach above also could be used into the uncertain hyperchaotic system with the H∞ theory. The simulation shows the validity of this method.