导航

ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1989, Vol. 10 ›› Issue (1): 84-88.

Previous Articles     Next Articles

AN INVERSE PROBLEM OF LINEAR OPTIMAL REGULATORS

Hu Shousong, He Xiufeng   

  1. Nanjing Aeronautical Institute
  • Received:1987-11-14 Revised:1900-01-01 Online:2010-01-25 Published:2010-01-25

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