Sufficient Conditions About Globally Asymptotical Stability of the Origin of Second-Order Control System with Saturated Input
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摘要: 分析了单饱和输入下控制系统的相空间分布规律并给出了具体的饱和输入下非线性 控制系统的空间结构.通过给出的空间结构与饱和输入下非线性控制系统的关系定义了不同于 一般意义下的非线性系统的平衡点,并且对新平衡点进行了分类.在此基础上,给出了二阶单饱 和输入下控制系统零解全局渐近稳定的充分条件,同时也给出了二阶单饱和输入下控制系统闭 合轨迹存在与否的判别条件.Abstract: The phase space of control systems with saturated input is analyzed and the space structure of control systems with saturated input is presented. Equilibrium points different from Lyapunov-type ones are defined and classified. Sufficient conditions are presented for globally asymptotical stability (GAS) of origin of 2ad-order control systems with saturated input. The existence of closed trajectory for 2ad-Corder control system with single input is also considered.
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Key words:
- Saturated system /
- closed trajectory /
- asymptotically stable /
- true equilibria /
- false equalibria
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