【摘要】 提出了预测二次稳定性（ＰｒｅｄｉｃｔｉｖｅＱｕａｄｒａｔｉｃＳｔａｂｉｌｉｔｙ，ＰＱＳ）概念，利用有界不确定对象的非参数模型和预测状态反馈，研究了系统ＰＱＳ成立的充要条件，并从理论上给出了严格的证明，同时给出了确定反馈阵的Ｒｉｃｃａｔｉ不等式．证明了具有ＰＱＳ系统的闭环输入输出稳定性，从理论上解决了一类简单、易于实现的预测控制系统的鲁棒稳定性问题更多还原

【Abstract】 A concept of predictive quadratic stability (PQS) was presented. Based on nonparameter model description of bounded uncertain plant, sufficient and necessary conditions for the PQS of system with predictive state feedback were studied and those results were strictly proved theoretically. In those conditions, Riccati inequalities were used to determine a feedback gain matrix. The closed loop input/output stability of system with PQS stability was guaranteed. The robust stability problem of predictive control system, which is simple and convenient to realize, was solved in theory.更多还原