RECEDING HORIZON LINEAR QUADRATIC CONTROL WITH FINITE INPUT CONSTRAINT SETS

RECEDING HORIZON LINEAR QUADRATIC CONTROL WITH FINITE INPUT CONSTRAINT SETS
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具有有限输入约束集的后退地平线线性二次控制

DOI:
10.3182/20020721-6-es-1901.00599
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发表时间:
2002
期刊:
影响因子:
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通讯作者:
G. Goodwin
G. Goodwin
中科院分区:
--
文献类型:
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作者:
D. Quevedo;J. Doná;G. Goodwin

文献摘要

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摘要通过探索约束优化问题的几何结构,得到了有限输入约束下离散时间滚动时域线性二次控制问题的一个非参数化解。由此产生的控制器产生一个闭环系统,这是分段仿射的植物状态。切换区域是多面体,并且与处理饱和约束集时获得的那些相关。
Abstract By exploring the geometry of the underlying constrained optimization, a finitely parameterized solution to the discrete time receding horizon linear quadratic control problem with a finite input constraint set is obtained. The resulting controller gives rise to a closed loop system which is piece-wise affine in the plant state. The switching regions are polytopes and are related to those obtained when dealing with ξ (saturation-like) constraint sets.