一类二阶广义控制系统的反馈控制与极点配置

Feedback Control and Pole Assignment for a Class of the Second Order Generalized Control Systems

应用泛函分析及算子理论讨论了Hilbert空间中一类二阶广义控制系统的反馈控制与极点配置问题,利用有界线性算子的广义逆给出了问题有解的一个充分条件,并在此条件下给出了解的构造性表达式,这对广义控制系统的稳定性及渐近稳定性研究具有重要的理论价值.

Feedback control and pole assignment of the second order generalized control systems are discussed via functional analysis and operator theory in Hilbert space. A sufficient condition of the problem existing solutions is given, and under the condition, the constructive expression of the solutions is given by the generalized inverse one of bounded linear operator. This research is theoretically important for studying the stabilization and asymptotic stability of the generalized control systems.