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More relaxed conditions for model predictive control with guaranteed stability
作者姓名:Bin LIU  Yugeng XI
作者单位:[1]Institute of Automation, Shanghai Jiaotong University, Shanghai 200030, China
基金项目:This work was supported by the National Natural Science Foundation ( No. 69934020).
摘    要:1Introduction In recent years the receding horizon control(RHC)ormodel predictive control(MPC)has received muchattention1].At each sampling time,model predictivecontrol(MPC)yields an optimal control sequence byonline solving a finite horizon open_loop optimizationproblem.Onlythefirst control actionis appliedtothe plantandthe process is repeated at the next samplingtime.The closed_loop stability of model predictive control hasbeenthe focus of research for a long time.In the90’s,through in…

关 键 词:预先控制  稳定性  初始状态  终端集  约束条件
收稿时间:2004-01-07
修稿时间:2005-05-20

More relaxed conditions for model predictive control with guaranteed stability
Bin LIU,Yugeng XI.More relaxed conditions for model predictive control with guaranteed stability[J].Journal of Control Theory and Applications,2005,3(2):189-194.
Authors:Bin LIU  Yugeng XI
Affiliation:Institute of Automation,Shanghai Jiaotong University,Shanghai 200030,China
Abstract:For the model predictive controller, terminal state satisfying a certain inequality can guarantee the stability but it is somewhat conservative. In this paper, we give a more relaxed stability condition by considering the effect of the initial state. Based on that we propose an algorithm to guarantee that the closed loop system is asymptotically stable. Finally, the conclusions are verified by a simttlation.
Keywords:Model predictive control  Stability  Initial state  Terminal state set
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