具有二次准则的多项式系统在无穷视界上的最优控制

2013 American Control Conference Pub Date : 2013-06-17 DOI:10.1080/00207721.2013.823528

M. Basin, M. Jiménez-Lizárraga, P. Rodriguez-Ramirez, Victoria Celeste Rodríguez Carreón

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引用次数: 4

摘要

提出了一种具有二次准则的多项式系统在无穷视界上的最优控制算法。所设计的调节器给出了具有二次准则的多项式系统的无限视界最优控制问题的封闭解。所得到的解是通过求解依赖于状态的Riccati代数方程得到的反馈控制律。算例的数值仿真表明了该算法的优越性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal control for a polynomial system with a quadratic criterion over infinite horizon

This paper proposes an optimal control algorithm for a polynomial system with a quadratic criterion over infinite horizon. The designed regulator gives a closed form solution to the infinite horizon optimal control problem for a polynomial system with a quadratic criterion. The obtained solution consists in a feedback control law obtained by solving a Riccati algebraic equation dependent on the state. Numerical simulations in the example show advantages of the developed algorithm.

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2013 American Control Conference

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