State-space transition for unforced nonlinear systems

Shaozhong Cao
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Abstract

To unforced nonlinear systems, based on the state equation of control systems, the definition of state space transition is given. First of all, the state space transition of the system is obtained by utilizing the solution of related linear homogeneous equation; then based on the differential equation in series forms, the state space transition of the state equation of the unforced nonlinear system is given by heuristic method. The method in this paper can be used to the design of nonlinear control systems.
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非强制非线性系统的状态空间转换
对于非强制非线性系统,基于控制系统的状态方程,给出了状态空间转移的定义。首先,利用相关线性齐次方程的解得到系统的状态空间跃迁;然后基于级数形式的微分方程,用启发式方法给出了非强制非线性系统状态方程的状态空间转换。该方法可用于非线性控制系统的设计。
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