关键词: 调节器, 最优控制, 李亚普诺夫第二法, 极点配置, 稳定性

Abstract:

This paper presents a new solution to the inverse problem of linear optimal regulators to minimize a cost function and meet requirements of the relative stability in the presence of a constant but unknown disturbance. In this paper, a state feedback matrix is developed by the Lyapunov second method. Moreover, the relationships between the state feedback matrix and the cost function arc obtained, so that a formula to solve the weighting matrices is suggested. An example is provided which illustrates the effectiveness of the method.

Key words: regulator, optimal control, Lyaputiov second method, pole assignment, stability