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一类具有非线性扰动的多重时滞不确定系统鲁棒预测控制

DOI: 10.3724/SP.J.1004.2013.00644, PP. 644-649

Keywords: 非线性扰动,鲁棒预测控制,线性矩阵不等式,时滞,不确定系统

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Abstract:

?针对一类具有非线性扰动且同时存在多重状态和输入时滞的不确定系统,提出一种鲁棒预测控制器设计方法.基于预测控制滚动优化原理,运用Lyapunov稳定性理论和线性矩阵不等式(Linearmatrixinequalities,LMIs)方法,首先近似求解无限时域二次性能指标优化问题,然后优化非线性扰动项所应满足的最大上界,定量地研究鲁棒预测控制在范数有界意义下的扰动抑制问题,并给出了鲁棒预测控制器存在的充分条件.最后通过仿真验证了所提方法的有效性.

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