非参数控制系统的预测二次稳定性研究  

The Study of Predictive Quadratic Stability of Nonparameter Control System

作　　者：李阳春[1] 许晓鸣[1] 何星[1] 

机构地区：[1]上海交通大学自动化系,上海200030

出　　处：《控制理论与应用》2000年第2期286-290,共5页Control Theory & Applications

摘　　要：首次提出预测二次稳定性概念 ,利用有界不确定对象的非参数模型描述和预测状态反馈 ,研究了系统预测二次稳定性 (predictivequadraticstability,PQS)成立的充分条件 ,给出了确定反馈阵的LMIs(linearmatrixinequali ties) ,并从理论上给出了严格证明 .讨论了存在I/O约束系统PQS成立的充分条件 ,证明了具有PQS稳定性对象的闭环全局稳定性 ,从理论上解决了一类建模简单、易于实现的预测控制系统的鲁棒稳定性问题 .The concept of predictive quadratic stability (PQS) is proposed for the first time. The sufficient conditions of the PQS of nonparameter plant with bounded uncertainty are proved theoretically in this paper. LMIs is used to describe these conditions. At the same time, the PQS sufficient conditions of plant constrained by I/O saturation is presented. Moreover, the PQS means the global robust stability of nonparameter plant. After all,the robust stability problem of predictive control system which is easy to model and convenient to realize is solved theoretically.\;

关 键 词：非参数控制系统 二次稳定性 预测控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]