一类非线性广义系统的状态反馈控制

针对状态空间为非最小相位的非线性广义系统的控制问题,首先利用算法求得非线性广义系统的状态空间实现,构建一个等价于原输出函数的综合输出函数,由此可任意配置非线性广义系统的状态空间实现的传输零点,使该状态空间实现为最小相位的;再对所得到的最小相位系统实施状态反馈控制,实现对非线性广义系统的状态反馈控制.并将此法应用到Logistic增长的SIR传染病模型上,以达到最终消除该传染病的目的.仿真结果表明所提方法可行有效.

State Feedback Control of a Class of Nonlinear Singular Systems

The problem of control of a nonlinear singular system that is non-minimum phase is discussed.The state space of a nonlinear singular system is derived by an algorithm.Then,a synthetic output function is reconstructed,which is statically equivalent to the original one and allowing the arbitrary assignment of the zero dynamics of the state-space realization so as to enable the state space to be in minimum phase.And the state feedback is put into effect for the minimum phase system thus obtained to realize the state feedback for nonlinear singular system.The proposed method was applied to the SIR epidemic model with Logistic growth control problem for the purpose of eradicating the epidemic.Simulation results showed the validity and effectiveness of this method.