非参数模型预测控制系统的预测二次稳定性  

Predictive Quadratic Stability of Nonparameter Model Based Predictive Control System

作　　者：李阳春[1] 许晓鸣[1] 杨煜普[1] 

机构地区：[1]上海交通大学自动化系

出　　处：《上海交通大学学报》1999年第5期614-618,共5页Journal of Shanghai Jiaotong University

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。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.

关 键 词：预测二次稳定性 非参数模型 预测控制系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]