针对非高斯随机系统,提出了基于线性B样条逼近的广义系统建模方法;讨论了这类广义系统基于H∞状态反馈控制器的设计,解决了非高斯随机系统输出概率密度函数(PDF)跟踪控制和干扰抑制问题;基于线性矩阵不等式,得到了该问题H∞状态反馈控制器存在的充分必要条件。最后,运用仿真验证了所提出方法的有效性。
For the non-Gaussian stochastic systems,the descriptor system model based on B-spline approximation is given.The design based on H∞ state feedback control for the descriptor system is discussed.The output PDF tracking control and distribution restrain of the non-Gaussian stochastic systems is settled.Necessary and sufficient condition for the existence of H∞ state feedback controller of the problem is presented by LMI.Furthermore,simulations are given to demonstrate the efficiency of the proposed approach and encouraging results are obtained.