A Study on the LQ Inverse Problems
LQ逆问题研究

In this paper, the existence of the solutions of LQ inverse problems is studied for linear time-invariant systems. The parametric formula of the solutions of inverse problems are given. The analysis relations among the wegthing matrix Q and coefficients of the open-loop and closed-loop characteristic polynomials are obtained. Upon the given stable closed-loop poles, the matrix Q can correspondingly be determined.