摘要
针对状态空间实现为非最小相位的非线性广义系统的控制问题,提出一种非线性广义系统的状态空间实现算法,构建了一个等价于原输出函数的综合输出函数,能任意配置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.所构建的最小相位输出函数能直接用于构造状态反馈控制器,实现对非线性广义系统状态反馈控制.将所得结论应用于Logistic增长的SIR传染病模型,仿真结果表明了所提方法的有效性和可行性.
Aiming at the control problem of the nonlinear singular system that state-space realization is nonminimumphase, an algorithm for deriving the state-space realization of the nonlinear singular system is proposed. Then, synthetic output functions which are statically equivalent to the original output functions are constructed, and the zero dynamics of the state-space realization can be assigned arbitrarily. The calculated outputs are used to construct a state feedback controller, and the state feedback control on the nonlinear singular system is realized. The proposed method is applied to SIR epidemic model with Logistic growth control problem. The simulation result shows the effectiveness and feasibility of the method.
出处
《控制与决策》
EI
CSCD
北大核心
2008年第1期13-18,共6页
Control and Decision
基金
国家自然科学基金项目(60574011)
关键词
非线性广义系统
状态反馈控制
非最小相位
零点配置
状态空间实现
Nonlinear singular system State feedback control Nonminimum-phase system, Assignment of zero dynamics
State-space realization
