基于遗传算法的多项式非线性系统静态输出反馈H∞控制

摘要

In order to solve the problems that nonlinear static output feedback H∞ control design process is complex,and it's difficult to obtain the globally optimal solution and so on,a new approach is presented to design the controller.An approach of Sum of Squares (SOS) is used to analyze the H∞ performance of polynomial nonlinear system.Taking the system L2 performance as the objective function,Genetic Algorithm (GA) is used to optimize the control parameters.Simulation results show that the designed controller achieves the optimal L2 performance of the polynomial nonlinear system.%针对非线性静态输出反馈H∞控制设计过程复杂、难以得到全局最优解等问题,提出了一种新的控制器设计方法.采用平方和(SOS)方法分析多项式非线性系统H∞性能;以系统L2性能指标为目标函数,用遗传算法优化控制参数.仿真结果表明,该方法设计的控制器实现了多项式非线性系统L2性能指标最优.