摘要
The solvability of quadratic optimal control via output feedback is studied. It has been concluded that every optimal output feedback is a derivative solution to the corresponding optimal-state feedback, and the linear matrix equation that determines the existence of the optimal output feedback is generally unsolvable. The output matrix C with some parameters is discussed, and the necessary condition for the existence of the optimal output feedback is given. Moreover, for the single-input system, the condition is proved almost sufficient.
The solvability of quadratic optimal control via output feedback is studied. It has been concluded that every optimal output feedback is a derivative solution to the corresponding optimal-state feedback, and the linear matrix equation that determines the existence of the optimal output feedback is generally unsolvable. The output matrix C with some parameters is discussed, and the necessary condition for the existence of the optimal output feedback is given. Moreover, for the single-input system, the condition is proved almost sufficient.
基金
Project supported by the National Natural Science Fundation of China.
