Polynomial matrix solution of H{sub}2 optimal control problem for state-space systems

M. J. Grimble

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Polynomial matrix solution of H{sub}2 optimal control problem for state-space systems

机译：状态空间系统的H {sub} 2最优控制问题的多项式矩阵解

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摘要

A polynomial matrix solution to the H{sub}2 output feedback optimal control problems is obtained for systems represented in state-equation form. The proof does not invoke the separation principle but is obtained in the z-domain. The cost function includes weighted states, which allows the so-called standard system model problem to be solved. This encompasses the class of inferential control problems. The results also enable the two-degree-of-freedom optimal control solution properties to be explored.

机译：对于以状态方程形式表示的系统，获得了H {sub} 2输出反馈最优控制问题的多项式矩阵解。该证明不引用分离原理，而是在z域中获得的。成本函数包括加权状态，这可以解决所谓的标准系统模型问题。这包括推理控制问题。结果还使得能够探索两自由度的最佳控制解决方案属性。

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来源
《Optimal Control Applications and Methods》 |2002年第2期|共31页
作者
M. J. Grimble;
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正文语种 eng
中图分类应用数学;
关键词
Polynomial matrix solutions; Discrete-time systems; H{sub}2 output feedback optimal control; Discrete-time linear controller design;

机译：多项式矩阵解;离散系统;H {sub} 2输出反馈最优控制;离散线性控制器设计;

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1. Polynomial matrix solution of H{sub}2 optimal control problem for state-space systems [J] . M. J. Grimble Optimal Control Applications and Methods . 2002,第2期

机译：状态空间系统的H {sub} 2最优控制问题的多项式矩阵解
2. Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials [J] . Wang XT Applied mathematics and computation . 2007,第2期

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Polynomial matrix solution of H{sub}2 optimal control problem for state-space systems

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