Successive method for general multiple linear-quadratic controlproblem in discrete time

Li-Zhi Liao; Duan Li

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Successive method for general multiple linear-quadratic controlproblem in discrete time

机译：离散时间下一般多重线性二次控制问题的连续方法

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A successive method is proposed for the general multiple linear-quadratic control problem in discrete time. A family of auxiliary parametric linear-quadratic control problems is constructed such that its solution sequence converges to the optimal solution of the original problem. Theoretical analysis for the computational procedure and global convergence of the successive method is provided. The successive method utilizes the special structure of the problem, thus being computationally efficient and being able to furnish a closed-loop optimal control law

机译：针对离散时间下的一般多线性二次控制问题，提出了一种连续方法。构造了一系列辅助参数线性二次控制问题，以使其求解顺序收敛到原始问题的最优解。为后续方法的计算过程和全局收敛性提供了理论分析。连续方法利用了问题的特殊结构，因此计算效率高，并且能够提供闭环最优控制律。

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来源
《IEEE Transactions on Automatic Control》 |2000年第7期|p.1380-1385|共6页
作者
Li-Zhi Liao; Duan Li;
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正文语种 eng
中图分类自动化系统;
关键词
closed loop systems; convergence; discrete time systems; linear quadratic control; matrix algebra; closed-loop optimal control law; general multiple linear-quadratic control problem; global convergence; parametric linear-quadratic control problems; solution seque;

机译：闭环系统;收敛;离散时间系统;线性二次控制;矩阵代数;闭环最优控制律;一般多重线性-二次控制问题;全局收敛;参数线性-二次控制问题;解序;

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专利

1. Successive method for general multiple linear-quadratic control problem in discrete time [J] . Li-Zhi Liao, Duan Li IEEE Transactions on Automatic Control . 2000,第7期

机译：离散时间下一般多重线性二次控制问题的连续方法
2. Discrete-time accelerated block successive overrelaxation methods for time-dependent Stokes equations [J] . Yang X. Applied mathematics and computation . 2013,第Null期

机译：时变斯托克斯方程的离散时间加速块连续超松弛方法
3. Uncoupled Riccati iterations for the linear quadratic controlproblem of discrete-time Markov jump linear systems [J] . do Val J.B.R., Geromel J.C., Costa O.L.V. IEEE Transactions on Automatic Control . 1998,第12期

机译：离散时间马尔可夫跳跃线性系统线性二次控制问题的解耦Riccati迭代
4. General multiple linear-quadratic control in discrete-time [C] . Lam, S.S., Duan Li . 1996

机译：离散时间的一般多重线性二次控制
5. Comparison of discrete-time and continuous-time methods in vaccine efficacy estimation. [D] . Miao, Guiming. 1997

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6. The Propagation of Movement Variability in Time: A Methodological Approach for Discrete Movements with Multiple Degrees of Freedom [O] . Melanie Krüger, Andreas Straube, Thomas Eggert 2017

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7. Computational methods for optimal linear-quadratic compensators for infinite dimensional discrete-time systems [O] . Gibson J. S., Rosen I. G. 1986

机译：无限维离散时间系统最优线性二次补偿器的计算方法
8. Computational methods for optimal linear-quadratic compensators for infinite dimensional discrete-time systems [R] . Gibson, J. S., Rosen, I. G. 1986

机译：无限维离散时间系统最优线性二次型补偿器的计算方法

Successive method for general multiple linear-quadratic controlproblem in discrete time

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