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关联量化系统参数稳定性与控制器设计

DOI: 10.3724/SP.J.1004.2014.00041, PP. 41-50

Keywords: 关联量化系统,参数稳定性,对数量化器,分散控制

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Abstract:

?量化问题广泛存在于计算机控制系统和数字通信的传输通道中.本文研究一类非线性关联量化系统的参数稳定性及分散状态反馈控制器的设计问题.每个控制器的输出经过对数量化器量化后输入到子系统中,其量化密度的大小会影响系统的稳定性.首先,设计分散状态反馈控制器,使得无量化器存在时的关联闭环系统参数稳定,并确定参数稳定的区域;然后,对每个子系统的控制输入采用对数量化器进行量化,通过局部信息确定子系统中对数量化器量化密度的下界,使得整个闭环关联量化系统在参数稳定域内仍然保持稳定;最后,对给定量化密度,优化控制器使系统能容许最大的非线性.仿真结果表明,本文所设计的分散量化控制器在参数稳定域内能够镇定关联大系统.

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