Quality guaranteed aggregation based model predictive control and stability analysis  

作　　者：LI DeWei XI YuGeng 

机构地区：[1]Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China

出　　处：《Science in China(Series F)》2009年第7期1145-1156,共12页中国科学（F辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 60674041);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070248004)

摘　　要：The input aggregation strategy can reduce the online computational burden of the model predictive controller. But generally aggregation based MPC controller may lead to poor control quality. Therefore, a new concept, equivalent aggregation, is proposed to guarantee the control quality of aggregation based MPC. From the general framework of input linear aggregation, the design methods of equivalent aggre- gation are developed for unconstrained and terminal zero constrained MPC, which guarantee the actual control inputs exactly to be equal to that of the original MPC. For constrained MPC, quasi-equivalent aggregation strategies are also discussed, aiming to make the difference between the control inputs of aggregation based MPC and original MPC as small as possible. The stability conditions are given for the quasi-equivalent aggregation based MPC as well.The input aggregation strategy can reduce the online computational burden of the model predictive controller. But generally aggregation based MPC controller may lead to poor control quality. Therefore, a new concept, equivalent aggregation, is proposed to guarantee the control quality of aggregation based MPC. From the general framework of input linear aggregation, the design methods of equivalent aggre- gation are developed for unconstrained and terminal zero constrained MPC, which guarantee the actual control inputs exactly to be equal to that of the original MPC. For constrained MPC, quasi-equivalent aggregation strategies are also discussed, aiming to make the difference between the control inputs of aggregation based MPC and original MPC as small as possible. The stability conditions are given for the quasi-equivalent aggregation based MPC as well.

关 键 词：model predictive control equivalent aggregation quasi-equivalent 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] F273.2[自动化与计算机技术—控制科学与工程]