THE INVERSE PROBLEM OF OPTIMAL REGULATORS AND ITS AP PLICATION

摘要

This paper presents a new solution to the inverse problem of linear optimal rnregulators to minimize a cost function and meet the requirements of relative stability in the rnpresence of a constant but unknown disturbance. A state feedback matrix is developed using rnLyapunov's second method. Moreover, the relationships between the state feedback matrix rnand the cost function are obtained, and a formula to solve the weighting matrices is suggestrned. The developed method is applied successfully to design the horizontal loops in the inertial rnnavigation system.