LQ逆问题研究
A Study on the LQ Inverse Problems
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摘要: 本文研究了线性定常系统LQ逆问题解的存在性问题,给出了逆问题解的参数化公式,得 到了加权矩阵Q与开环、闭环特征多项式系数之间的解析关系.只要给定一组稳定的闭环极 点,即可确定与之对应的Q阵.Abstract: 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 elosed-loop characteristic polynomials are obtained. Upon the given stable closed-loop poles, the matrix Q can correspondingly be determined.
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Key words:
- LQ inverse problem /
- weighting matrix /
- characteristic polynomial
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