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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 .
For the first time, the concept of predictive quadratic stability is proposed, and the non-parametric model of bounded uncertain objects is used to describe and predict the state feedback. The sufficient conditions for the establishment of predictivequadraticstability (PQS) are studied. LMIs (linearmatrixinequali ties), and gives rigorous proofs theoretically.The sufficient conditions for the existence of PQS with I / O constraint system are discussed, the closed-loop global stability of PQS-stable objects is proved, and a class of Robust stability of predictive control system with simple modeling and easy implementation.